Preface |
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xii | |
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1 | (18) |
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1.1 Signals and Systems Defined |
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1 | (2) |
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3 | (5) |
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8 | (6) |
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9 | (1) |
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9 | (2) |
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11 | (1) |
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12 | (2) |
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1.4 A Familiar Signal and System Example |
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14 | (4) |
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18 | (1) |
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Chapter 2 Mathematical Description of Continuous-Time Signals |
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19 | (58) |
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2.1 Introduction and Goals |
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19 | (1) |
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20 | (1) |
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2.3 Continuous-Time Signal Functions |
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20 | (14) |
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Complex Exponentials and Sinusoids |
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21 | (2) |
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Functions with Discontinuities |
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23 | (1) |
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24 | (1) |
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24 | (2) |
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26 | (1) |
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27 | (2) |
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The Impulse, the Unit Step and Generalized Derivatives |
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29 | (1) |
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The Equivalence Property of the Impulse |
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30 | (1) |
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The Sampling Property of the Impulse |
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31 | (1) |
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The Scaling Property of the Impulse |
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31 | (1) |
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The Unit Periodic Impulse or Impulse Train |
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32 | (1) |
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A Coordinated Notation for Singularity Functions |
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33 | (1) |
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The Unit-Rectangle Function |
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33 | (1) |
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2.4 Combinations of Functions |
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34 | (2) |
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36 | (11) |
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36 | (1) |
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37 | (2) |
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39 | (4) |
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Simultaneous Shifting and Scaling |
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43 | (4) |
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2.6 Differentiation and Integration |
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47 | (2) |
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49 | (4) |
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Combinations of Even and Odd Signals |
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51 | (2) |
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Derivatives and Integrals of Even and Odd Signals |
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53 | (1) |
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53 | (3) |
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2.9 Signal Energy and Power |
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56 | (4) |
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56 | (1) |
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57 | (3) |
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2.10 Summary of Important Points |
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60 | (17) |
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60 | (1) |
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60 | (1) |
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60 | (1) |
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61 | (4) |
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Derivatives and Integrals |
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65 | (1) |
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66 | (2) |
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68 | (1) |
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69 | (1) |
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Exercises without Answers |
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70 | (1) |
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70 | (1) |
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71 | (3) |
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74 | (1) |
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Derivatives and Integrals |
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74 | (1) |
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75 | (1) |
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75 | (1) |
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76 | (1) |
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Chapter 3 Discrete-Time Signal Description |
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77 | (36) |
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3.1 Introduction and Goals |
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77 | (1) |
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3.2 Sampling and Discrete Time |
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78 | (2) |
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3.3 Sinusoids and Exponentials |
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80 | (4) |
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80 | (3) |
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83 | (1) |
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3.4 Singularity Functions |
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84 | (3) |
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The Unit-Impulse Function |
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84 | (1) |
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The Unit-Sequence Function |
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85 | (1) |
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85 | (1) |
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86 | (1) |
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The Unit Periodic Impulse Function or Impulse Train |
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86 | (1) |
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87 | (5) |
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87 | (1) |
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87 | (1) |
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87 | (1) |
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88 | (1) |
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88 | (4) |
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3.6 Differencing and Accumulation |
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92 | (4) |
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96 | (2) |
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Combinations of Even and Odd Signals |
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97 | (1) |
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Symmetrical Finite Summation of Even and Odd Signals |
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97 | (1) |
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98 | (1) |
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3.9 Signal Energy and Power |
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99 | (3) |
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99 | (1) |
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100 | (2) |
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3.10 Summary of Important Points |
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102 | (11) |
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102 | (1) |
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102 | (1) |
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102 | (2) |
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104 | (1) |
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Differencing and Accumulation |
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105 | (1) |
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106 | (1) |
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107 | (1) |
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108 | (1) |
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Exercises without Answers |
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108 | (1) |
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108 | (1) |
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109 | (2) |
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Differencing and Accumulation |
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111 | (1) |
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111 | (1) |
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112 | (1) |
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112 | (1) |
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Chapter 4 Description of Systems |
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113 | (46) |
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4.1 Introduction and Goals |
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113 | (1) |
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4.2 Continuous-Time Systems |
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114 | (26) |
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114 | (1) |
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115 | (4) |
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119 | (3) |
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122 | (1) |
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122 | (4) |
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126 | (1) |
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127 | (1) |
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128 | (1) |
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Linearity and Superposition |
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129 | (1) |
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129 | (4) |
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133 | (1) |
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134 | (1) |
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134 | (1) |
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135 | (2) |
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137 | (1) |
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Dynamics of Second-Order Systems |
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138 | (2) |
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Complex Sinusoid Excitation |
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140 | (1) |
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4.3 Discrete-Time Systems |
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140 | (10) |
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140 | (1) |
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140 | (1) |
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141 | (6) |
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147 | (3) |
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4.4 Summary of Important Points |
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150 | (9) |
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151 | (1) |
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151 | (1) |
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151 | (2) |
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153 | (2) |
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Exercises without Answers |
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155 | (1) |
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155 | (2) |
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157 | (2) |
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Chapter 5 Time-Domain System Analysis |
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159 | (56) |
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5.1 Introduction and Goals |
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159 | (1) |
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159 | (22) |
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159 | (5) |
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Continuous-Time Convolution |
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164 | (1) |
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164 | (4) |
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Graphical and Analytical Examples of Convolution |
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168 | (5) |
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173 | (3) |
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176 | (1) |
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Step Response and Impulse Response |
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176 | (1) |
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Stability and Impulse Response |
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176 | (1) |
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Complex Exponential Excitation and the Transfer Function |
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177 | (2) |
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179 | (2) |
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181 | (20) |
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181 | (3) |
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Discrete-Time Convolution |
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184 | (1) |
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184 | (3) |
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Graphical and Analytical Examples of Convolution |
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187 | (4) |
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191 | (1) |
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191 | (1) |
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Discrete-Time Numerical Convolution |
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191 | (2) |
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Continuous-Time Numerical Convolution |
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193 | (2) |
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Stability and Impulse Response |
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195 | (1) |
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195 | (1) |
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Unit-Sequence Response and Impulse Response |
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196 | (2) |
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Complex Exponential Excitation and the Transfer Function |
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198 | (1) |
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199 | (2) |
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5.4 Summary of Important Points |
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201 | (14) |
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201 | (1) |
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201 | (1) |
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201 | (1) |
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201 | (1) |
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201 | (3) |
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204 | (1) |
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205 | (1) |
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205 | (1) |
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205 | (3) |
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208 | (1) |
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Exercises without Answers |
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208 | (1) |
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208 | (1) |
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208 | (1) |
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209 | (1) |
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210 | (2) |
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212 | (1) |
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212 | (1) |
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212 | (2) |
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214 | (1) |
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Chapter 6 Continuous-Time Fourier Methods |
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215 | (75) |
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6.1 Introduction and Goals |
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215 | (1) |
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6.2 The Continuous-Time Fourier Series |
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216 | (25) |
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216 | (4) |
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Orthogonality and the Harmonic Function |
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220 | (3) |
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The Compact Trigonometric Fourier Series |
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223 | (2) |
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225 | (1) |
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225 | (1) |
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226 | (2) |
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Minimum Error of Fourier-Series Partial Sums |
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228 | (1) |
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The Fourier Series of Even and Odd Periodic Functions |
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229 | (1) |
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Fourier-Series Tables and Properties |
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230 | (4) |
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Numerical Computation of the Fourier Series |
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234 | (7) |
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6.3 The Continuous-Time Fourier Transform |
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241 | (26) |
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Extending the Fourier Series to Aperiodic Signals |
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241 | (5) |
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The Generalized Fourier Transform |
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246 | (4) |
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Fourier Transform Properties |
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250 | (9) |
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Numerical Computation of the Fourier Transform |
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259 | (8) |
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6.4 Summary of Important Points |
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267 | (23) |
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267 | (1) |
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267 | (1) |
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267 | (1) |
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268 | (1) |
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268 | (3) |
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System Response to Periodic Excitation |
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271 | (1) |
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Forward and Inverse Fourier Transforms |
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271 | (9) |
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280 | (1) |
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281 | (1) |
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282 | (1) |
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Exercises without Answers |
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282 | (1) |
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282 | (1) |
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283 | (1) |
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Forward and Inverse Fourier Transforms |
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283 | (7) |
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Chapter 7 Discrete-Time Fourier Methods |
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290 | (41) |
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7.1 Introduction and Goals |
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290 | (1) |
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7.2 The Discrete-Time Fourier Series and the Discrete Fourier Transform |
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290 | (14) |
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Linearity and Complex-Exponential Excitation |
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290 | (4) |
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Orthogonality and the Harmonic Function |
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294 | (4) |
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Discrete Fourier Transform Properties |
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298 | (4) |
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The Fast Fourier Transform |
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302 | (2) |
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7.3 The Discrete-Time Fourier Transform |
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304 | (17) |
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Extending the Discrete Fourier Transform to Aperiodic Signals |
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304 | (1) |
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Derivation and Definition |
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305 | (2) |
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307 | (1) |
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Convergence of the Discrete-Time Fourier Transform |
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308 | (1) |
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309 | (6) |
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Numerical Computation of the Discrete-Time Fourier Transform |
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315 | (6) |
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7.4 Fourier Method Comparisons |
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321 | (2) |
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7.5 Summary of Important Points |
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323 | (8) |
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323 | (1) |
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323 | (1) |
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323 | (1) |
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Discrete Fourier Transform |
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324 | (1) |
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Discrete-Time Fourier Transform Definition |
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324 | (1) |
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Forward and Inverse Discrete-Time Fourier Transforms |
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325 | (3) |
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Exercises without Answers |
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328 | (1) |
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Discrete Fourier Transform |
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328 | (1) |
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Forward and Inverse Discrete-Time Fourier Transforms |
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328 | (3) |
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Chapter 8 The Laplace Transform |
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331 | (51) |
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8.1 Introduction and Goals |
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331 | (1) |
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8.2 Development of the Laplace Transform |
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332 | (3) |
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Generalizing the Fourier Transform |
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332 | (2) |
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Complex Exponential Excitation and Response |
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334 | (1) |
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8.3 The Transfer Function |
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335 | (1) |
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8.4 Cascade-Connected Systems |
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335 | (1) |
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8.5 Direct Form II Realization |
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336 | (1) |
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8.6 The Inverse Laplace Transform |
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337 | (1) |
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8.7 Existence of the Laplace Transform |
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337 | (2) |
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338 | (1) |
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Right-and Left-Sided Signals |
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338 | (1) |
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8.8 Laplace Transform Pairs |
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339 | (5) |
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8.9 Partial-Fraction Expansion |
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344 | (10) |
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8.10 Laplace Transform Properties |
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354 | (2) |
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8.11 The Unilateral Laplace Transform |
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356 | (6) |
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356 | (2) |
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Properties Unique to the Unilateral Laplace Transform |
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358 | (2) |
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Solution of Differential Equations with Initial Conditions |
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360 | (2) |
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8.12 Pole-Zero Diagrams and Frequency Response |
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362 | (8) |
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8.13 MATLAB System Objects |
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370 | (2) |
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8.14 Summary of Important Points |
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372 | (10) |
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372 | (1) |
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372 | (1) |
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Laplace Transform Definition |
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372 | (1) |
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Existence of the Laplace Transform |
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373 | (1) |
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Direct Form II System Realization |
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373 | (1) |
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Forward and Inverse Laplace Transforms |
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373 | (2) |
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Unilateral Laplace Transform Integral |
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375 | (1) |
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Solving Differential Equations |
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376 | (1) |
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Pole-Zero Diagrams and Frequency Response |
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377 | (1) |
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Exercises without Answers |
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378 | (1) |
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Laplace Transform Definition |
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378 | (1) |
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Existence of the Laplace Transform |
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378 | (1) |
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Direct Form II System Realization |
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378 | (1) |
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Forward and Inverse Laplace Transforms |
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378 | (1) |
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Solution of Differential Equations |
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379 | (1) |
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Pole-Zero Diagrams and Frequency Response |
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380 | (2) |
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Chapter 9 The z Transform |
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382 | (38) |
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9.1 Introduction and Goals |
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382 | (1) |
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9.2 Generalizing the Discrete-Time Fourier Transform |
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383 | (1) |
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9.3 Complex Exponential Excitation and Response |
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384 | (1) |
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9.4 The Transfer Function |
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384 | (1) |
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9.5 Cascade-Connected Systems |
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384 | (1) |
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9.6 Direct Form II System Realization |
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385 | (1) |
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9.7 The Inverse z Transform |
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386 | (1) |
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9.8 Existence of the z Transform |
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386 | (3) |
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386 | (1) |
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Right- and Left-Sided Signals |
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387 | (2) |
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389 | (3) |
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9.10 z-Transform Properties |
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392 | (1) |
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9.11 Inverse z-Transform Methods |
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393 | (6) |
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393 | (1) |
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Partial-Fraction Expansion |
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394 | (1) |
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Examples of Forward and Inverse z Transforms |
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394 | (5) |
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9.12 The Unilateral z Transform |
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399 | (2) |
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Properties Unique to the Unilateral z Transform |
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399 | (1) |
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Solution of Difference Equations |
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400 | (1) |
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9.13 Pole-Zero Diagrams and Frequency Response |
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401 | (3) |
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9.14 MATLAB System Objects |
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404 | (2) |
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9.15 Transform Method Comparisons |
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406 | (4) |
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9.16 Summary of Important Points |
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410 | (10) |
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411 | (1) |
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411 | (1) |
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Direct Form II System Realization |
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411 | (1) |
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Existence of the z Transform |
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411 | (1) |
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Forward and Inverse z Transforms |
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411 | (2) |
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Unilateral z-Transform Properties |
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413 | (1) |
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Solution of Difference Equations |
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414 | (1) |
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Pole-Zero Diagrams and Frequency Response |
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415 | (1) |
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Exercises without Answers |
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416 | (1) |
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Direct Form II System Realization |
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416 | (1) |
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Existence of the z Transform |
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416 | (1) |
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Forward and Inverse z Transforms |
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416 | (1) |
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Pole-Zero Diagrams and Frequency Response |
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417 | (3) |
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Chapter 10 Sampling and Signal Processing |
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420 | (61) |
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10.1 Introduction and Goals |
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420 | (1) |
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10.2 Continuous-Time Sampling |
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421 | (34) |
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421 | (2) |
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423 | (1) |
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423 | (2) |
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Sampling Theorem Derivation |
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425 | (3) |
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428 | (3) |
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Time-Limited and Randlimited Signals |
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431 | (1) |
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432 | (1) |
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432 | (1) |
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433 | (1) |
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434 | (1) |
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434 | (1) |
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Sampling Bandpass Signals |
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435 | (3) |
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438 | (3) |
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Band-Limited Periodic Signals |
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441 | (3) |
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Signal Processing Using the DFT |
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444 | (1) |
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444 | (1) |
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445 | (3) |
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Sampling and Periodic-Repetition Relationship |
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448 | (4) |
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Computing the CTFS Harmonic Function with the DFT |
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452 | (1) |
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Approximating the CTFT with the DFT |
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452 | (1) |
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452 | (1) |
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453 | (1) |
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Approximating the DTFT with the DFT |
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453 | (1) |
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Approximating Continuous-Time Convolution with the DFT |
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453 | (1) |
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453 | (1) |
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453 | (1) |
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Discrete-Time Convolution with the DFT |
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453 | (1) |
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453 | (1) |
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453 | (1) |
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Summary of Signal Processing Using the DFT |
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454 | (1) |
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10.3 Discrete-Time Sampling |
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455 | (5) |
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Periodic-Impulse Sampling |
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455 | (2) |
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457 | (3) |
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10.4 Summary of Important Points |
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460 | (21) |
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461 | (1) |
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461 | (1) |
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Pulse Amplitude Modulation |
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461 | (1) |
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461 | (1) |
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462 | (3) |
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465 | (1) |
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Time-Limited and Randlimited Signals |
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465 | (1) |
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466 | (1) |
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467 | (1) |
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Bandlimited Periodic Signals |
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468 | (1) |
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CTFT-CTFS-DFT Relationships |
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468 | (2) |
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470 | (1) |
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471 | (4) |
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Exercises without Answers |
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475 | (1) |
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475 | (1) |
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476 | (1) |
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477 | (1) |
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477 | (1) |
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477 | (1) |
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Bandlimited Periodic Signals |
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478 | (1) |
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478 | (3) |
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Chapter 11 Frequency Response Analysis |
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481 | (77) |
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11.1 Introduction and Goals |
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481 | (1) |
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481 | (1) |
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11.3 Continuous-Time Filters |
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482 | (36) |
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482 | (5) |
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487 | (1) |
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487 | (1) |
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488 | (1) |
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Ideal Filter Frequency Responses |
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488 | (1) |
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Impulse Responses and Causality |
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489 | (3) |
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492 | (1) |
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492 | (1) |
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493 | (1) |
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493 | (4) |
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497 | (1) |
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498 | (1) |
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Integrators and Differentiators |
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499 | (1) |
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Frequency-Independent Gain |
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|
499 | (3) |
|
Complex Pole and Zero Pairs |
|
|
502 | (2) |
|
|
504 | (1) |
|
|
504 | (1) |
|
|
504 | (3) |
|
|
507 | (1) |
|
|
508 | (1) |
|
|
509 | (1) |
|
|
510 | (1) |
|
|
510 | (8) |
|
11.4 Discrete-Time Filters |
|
|
518 | (20) |
|
|
518 | (1) |
|
|
519 | (1) |
|
|
519 | (1) |
|
|
520 | (1) |
|
|
520 | (1) |
|
Impulse Responses and Causality |
|
|
520 | (1) |
|
|
521 | (5) |
|
|
526 | (1) |
|
Comparison with Continuous-Time Filters |
|
|
526 | (2) |
|
Highpass, Bandpass and Bandstop Filters |
|
|
528 | (4) |
|
The Moving Average Filter |
|
|
532 | (4) |
|
The Almost Ideal Lowpass Filter |
|
|
536 | (2) |
|
Advantages Compared to Continuous-Time Filters |
|
|
538 | (1) |
|
11.5 Summary of Important Points |
|
|
538 | (20) |
|
|
539 | (1) |
|
|
539 | (1) |
|
Continuous-Time Frequency Response |
|
|
539 | (1) |
|
Continuous-Time Ideal Filters |
|
|
539 | (1) |
|
Continuous-Time Causality |
|
|
540 | (1) |
|
Logarithmic Graphs and Bode Diagrams |
|
|
540 | (1) |
|
Continuous-Time Practical Passive Filters |
|
|
541 | (3) |
|
Continuous-Time Practical Active Filters |
|
|
544 | (1) |
|
Discrete-Time Frequency Response |
|
|
545 | (1) |
|
Discrete-Time Ideal Filters |
|
|
546 | (1) |
|
|
546 | (1) |
|
Discrete-Time Practical Filters |
|
|
546 | (1) |
|
Exercises without Answers |
|
|
547 | (1) |
|
Continuous-Time Frequency Response |
|
|
547 | (1) |
|
Continuous-Time Ideal Filters |
|
|
547 | (1) |
|
Continuous-Time Causality |
|
|
548 | (1) |
|
|
548 | (1) |
|
Continuous-Time Practical Passive Filters |
|
|
549 | (2) |
|
|
551 | (1) |
|
Continuous-Time Practical Active Filters |
|
|
551 | (3) |
|
|
554 | (1) |
|
|
554 | (3) |
|
|
557 | (1) |
|
Chapter 12 Communication System Analysis |
|
|
558 | (28) |
|
12.1 Introduction and Goals |
|
|
558 | (1) |
|
12.2 Continuous Time Communication Systems |
|
|
558 | (18) |
|
Need for Communication Systems |
|
|
558 | (2) |
|
|
560 | (1) |
|
Analog Modulation and Demodulation |
|
|
561 | (1) |
|
|
561 | (1) |
|
Double-Sideband Suppressed-Carrier Modulation |
|
|
561 | (3) |
|
Double-Sideband Transmitted-Carrier Modulation |
|
|
564 | (2) |
|
Single-Sideband Suppressed-Carrier Modulation |
|
|
566 | (1) |
|
|
567 | (9) |
|
12.3 Discrete-Time Sinusoidal-Carrier Amplitude Modulation |
|
|
576 | (2) |
|
12.4 Summary of Important Points |
|
|
578 | (8) |
|
|
578 | (1) |
|
|
578 | (1) |
|
|
578 | (2) |
|
|
580 | (2) |
|
Exercises without Answers |
|
|
582 | (1) |
|
|
582 | (1) |
|
|
583 | (1) |
|
|
583 | (1) |
|
Chopper-Stabilized Amplifier |
|
|
584 | (1) |
|
|
585 | (1) |
|
Chapter 13 Laplace System Analysis |
|
|
586 | (55) |
|
13.1 Introduction and Goals |
|
|
586 | (1) |
|
13.2 System Representations |
|
|
586 | (4) |
|
|
590 | (3) |
|
|
593 | (22) |
|
Cascade and Parallel Connections |
|
|
593 | (1) |
|
|
593 | (1) |
|
Terminology and Basic Relationships |
|
|
593 | (1) |
|
Feedback Effects on Stability |
|
|
594 | (1) |
|
Beneficial Effects of Feedback |
|
|
595 | (3) |
|
Instability Caused by Feedback |
|
|
598 | (4) |
|
Stable Oscillation Using Feedback |
|
|
602 | (4) |
|
|
606 | (6) |
|
Tracking Errors in Unity-Gain Feedback Systems |
|
|
612 | (3) |
|
13.5 System Analysis Using MATLAB |
|
|
615 | (2) |
|
13.6 System Responses to Standard Signals |
|
|
617 | (7) |
|
|
618 | (3) |
|
|
621 | (3) |
|
13.7 Standard Realizations of Systems |
|
|
624 | (2) |
|
|
624 | (2) |
|
|
626 | (1) |
|
13.8 Summary of Important Points |
|
|
626 | (15) |
|
|
627 | (1) |
|
|
627 | (1) |
|
|
627 | (1) |
|
|
628 | (1) |
|
Parallel, Cascade and Feedback Connections |
|
|
629 | (2) |
|
|
631 | (1) |
|
Tracking Errors in Unity-Gain Feedback Systems |
|
|
632 | (1) |
|
Response to Standard Signals |
|
|
632 | (1) |
|
|
633 | (1) |
|
Exercises without Answers |
|
|
634 | (1) |
|
|
634 | (1) |
|
|
634 | (1) |
|
Parallel, Cascade and Feedback Connections |
|
|
634 | (4) |
|
|
638 | (1) |
|
Tracking Errors in Unity-Gain Feedback Systems |
|
|
639 | (1) |
|
Responses to Standard Signals |
|
|
639 | (1) |
|
|
640 | (1) |
|
Chapter 14 z-Transform System Analysis |
|
|
641 | (29) |
|
14.1 Introduction and Goals |
|
|
641 | (1) |
|
|
641 | (1) |
|
|
641 | (1) |
|
|
642 | (1) |
|
|
642 | (1) |
|
|
643 | (2) |
|
14.5 System Responses to Standard Signals |
|
|
645 | (6) |
|
|
645 | (3) |
|
Response to a Causal Sinusoid |
|
|
648 | (3) |
|
14.6 Simulating Continuous-Time Systems with Discrete-Time Systems |
|
|
651 | (10) |
|
z-Transform-Laplace-Transform Relationships |
|
|
651 | (2) |
|
|
653 | (2) |
|
|
655 | (6) |
|
14.7 Standard Realizations of Systems |
|
|
661 | (1) |
|
|
661 | (1) |
|
|
661 | (1) |
|
14.8 Summary of Important Points |
|
|
662 | (8) |
|
|
663 | (1) |
|
|
663 | (1) |
|
|
663 | (1) |
|
Parallel, Cascade and Feedback Connections |
|
|
663 | (1) |
|
Response to Standard Signals |
|
|
663 | (1) |
|
|
664 | (1) |
|
Laplace-Transform-z-Transform Relationship |
|
|
665 | (1) |
|
|
665 | (1) |
|
|
665 | (1) |
|
Exercises without Answers |
|
|
666 | (1) |
|
|
666 | (1) |
|
Parallel, Cascade and Feedback Connections |
|
|
666 | (1) |
|
Response to Standard Signals |
|
|
667 | (1) |
|
Laplace-Transform-z-Transform Relationship |
|
|
668 | (1) |
|
|
668 | (1) |
|
|
668 | (1) |
|
|
669 | (1) |
|
Chapter 15 Filter Analysis and Design |
|
|
670 | (56) |
|
15.1 Introduction and Goals |
|
|
670 | (1) |
|
|
670 | (9) |
|
|
671 | (1) |
|
Normalized Butterworth Filters |
|
|
671 | (1) |
|
|
672 | (2) |
|
|
674 | (2) |
|
Chebyshev, Elliptic and Bessel Filters |
|
|
676 | (3) |
|
|
679 | (38) |
|
Simulation of Analog Filters |
|
|
679 | (1) |
|
|
679 | (1) |
|
|
679 | (1) |
|
|
679 | (1) |
|
|
679 | (7) |
|
|
686 | (2) |
|
|
688 | (6) |
|
|
694 | (1) |
|
Direct Substitution and the Matched z-Transform |
|
|
694 | (2) |
|
|
696 | (7) |
|
|
703 | (1) |
|
Truncated Ideal Impulse Response |
|
|
703 | (10) |
|
Optimal FIR Filter Design |
|
|
713 | (2) |
|
|
715 | (2) |
|
15.4 Summary of Important Points |
|
|
717 | (9) |
|
|
717 | (1) |
|
|
717 | (1) |
|
Continuous-Time Butterworth Filters |
|
|
717 | (2) |
|
Impulse-Invariant and Step-Invariant Filter Design |
|
|
719 | (1) |
|
Finite-Difference Filter Design |
|
|
720 | (1) |
|
Matched z-Transform and Direct Substitution Filter Design |
|
|
720 | (1) |
|
Bilinear z-Transform Filter Design |
|
|
721 | (1) |
|
|
721 | (2) |
|
Exercises without Answers |
|
|
723 | (1) |
|
|
723 | (1) |
|
Impulse-Invariant and Step-Invariant Filter Design |
|
|
724 | (1) |
|
Finite-Difference Filter Design |
|
|
724 | (1) |
|
Matched z-Transform and Direct Substitution Filter Design |
|
|
724 | (1) |
|
Bilinear z-Transform Filter Design |
|
|
725 | (1) |
|
|
725 | (1) |
|
Chapter 16 State-Space Analysis |
|
|
726 | (35) |
|
16.1 Introduction and Goals |
|
|
726 | (1) |
|
16.2 Continuous-Time Systems |
|
|
726 | (20) |
|
System and Output Equations |
|
|
727 | (11) |
|
|
738 | (2) |
|
Alternate State-Variable Choices |
|
|
740 | (1) |
|
Transformations of State Variables |
|
|
741 | (1) |
|
|
742 | (3) |
|
MATLAB Tools for State-Space Analysis |
|
|
745 | (1) |
|
16.3 Discrete-Time Systems |
|
|
746 | (7) |
|
System and Output Equations |
|
|
746 | (4) |
|
Transfer Functions and Transformations of State Variables |
|
|
750 | (3) |
|
MATLAB Tools for State-Space Analysis |
|
|
753 | (1) |
|
16.4 Summary of Important Points |
|
|
753 | (8) |
|
|
754 | (1) |
|
|
754 | (1) |
|
Continuous-Time State Equations |
|
|
754 | (2) |
|
Continuous-Time System Response |
|
|
756 | (1) |
|
|
756 | (1) |
|
Differential-Equation Description |
|
|
757 | (1) |
|
Discrete-Time State Equations |
|
|
757 | (1) |
|
Difference-Equation Description |
|
|
758 | (1) |
|
Discrete-Time System Response |
|
|
758 | (1) |
|
Exercises without Answers |
|
|
759 | (1) |
|
Continuous-Time State Equations |
|
|
759 | (1) |
|
Continuous-Time System Response |
|
|
759 | (1) |
|
Discrete-Time State Equations |
|
|
759 | (1) |
|
Discrete-Time System Response |
|
|
760 | (1) |
|
|
760 | (1) |
Appendix A Useful Mathematical Relations |
|
761 | (3) |
Appendix B Continuous-Time Fourier Series Pairs |
|
764 | (3) |
Appendix C Discrete Fourier Transform Pairs |
|
767 | (3) |
Appendix D Continuous-Time Fourier Transform Pairs |
|
770 | (7) |
Appendix E Discrete-Time Fourier Transform Pairs |
|
777 | (5) |
Appendix F Tables of Laplace Transform Pairs |
|
782 | (2) |
Appendix G z Transform Pairs |
|
784 | (2) |
Bibliography |
|
786 | (2) |
Index |
|
788 | |