Preface |
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xiii | |
Acknowledgments |
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xv | |
Authors |
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xvii | |
Chapter 1 Basic Concepts |
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1 | (62) |
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Global Positioning System |
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1 | (1) |
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2 | (1) |
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2 | (1) |
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1.3 Classifications of Signals |
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3 | (10) |
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1.3.1 Continuous-Time and Discrete-Time Signals |
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3 | (2) |
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1.3.2 Periodic and Nonperiodic Signals |
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5 | (1) |
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1.3.3 Analog and Digital Signals |
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6 | (1) |
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1.3.4 Energy and Power Signals |
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7 | (1) |
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1.3.5 Even and Odd Symmetry |
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8 | (5) |
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1.4 Basic Continuous-Time Signals |
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13 | (12) |
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13 | (1) |
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1.4.2 Unit Impulse Function |
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14 | (3) |
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17 | (1) |
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1.4.4 Rectangular Pulse Function |
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18 | (1) |
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1.4.5 Triangular Pulse Function |
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19 | (1) |
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19 | (1) |
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20 | (5) |
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1.5 Basic Discrete-Time Signals |
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25 | (5) |
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25 | (1) |
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1.5.2 Unit Impulse Sequence |
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25 | (1) |
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26 | (1) |
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1.5.4 Sinusoidal Sequence |
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27 | (1) |
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1.5.5 Exponential Sequence |
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28 | (2) |
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1.6 Basic Operations on Signals |
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30 | (6) |
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30 | (1) |
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31 | (1) |
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31 | (1) |
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1.6.4 Amplitude Transformations |
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32 | (4) |
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1.7 Classifications of Systems |
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36 | (7) |
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1.7.1 Continuous-Time and Discrete-Time Systems |
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37 | (1) |
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1.7.2 Causal and Noncausal Systems |
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37 | (2) |
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1.7.3 Linear and Nonlinear Systems |
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39 | (1) |
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1.7.4 Time-Varying and Time-Invariant Systems |
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40 | (1) |
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1.7.5 Systems with and without Memory |
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41 | (2) |
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43 | (2) |
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43 | (1) |
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44 | (1) |
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44 | (1) |
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1.9 Computing with MATLAB® |
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45 | (5) |
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50 | (1) |
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51 | (1) |
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52 | (11) |
Chapter 2 Convolution |
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63 | (42) |
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Enhancing Your Communication Skills |
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63 | (1) |
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64 | (1) |
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64 | (1) |
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65 | (5) |
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2.4 Graphical Convolution |
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70 | (6) |
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2.5 Block Diagram Representation |
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76 | (2) |
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2.6 Discrete-Time Convolution |
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78 | (7) |
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2.7 Block Diagram Realization |
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85 | (1) |
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85 | (3) |
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2.9 Computing with MATLAB® |
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88 | (3) |
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91 | (4) |
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2.10.1 BIBO Stability of Continuous-Time Systems |
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91 | (1) |
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2.10.2 BIBO Stability of Discrete-Time Systems |
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92 | (1) |
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93 | (2) |
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95 | (1) |
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96 | (1) |
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97 | (8) |
Chapter 3 The Laplace Transform |
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105 | (66) |
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105 | (1) |
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106 | (1) |
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3.2 Definition of the Laplace Transform |
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106 | (4) |
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3.3 Properties of the Laplace Transform |
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110 | (16) |
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110 | (1) |
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111 | (1) |
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112 | (1) |
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113 | (1) |
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3.3.5 Time Differentiation |
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113 | (1) |
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114 | (1) |
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115 | (1) |
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3.3.8 Frequency Differentiation |
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116 | (1) |
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117 | (1) |
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118 | (1) |
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3.3.11 Initial and Final Values |
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119 | (7) |
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3.4 The Inverse Laplace Transform |
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126 | (12) |
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127 | (1) |
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128 | (1) |
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129 | (9) |
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138 | (5) |
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143 | (9) |
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3.6.1 Integro-Differential Equations |
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143 | (2) |
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145 | (5) |
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150 | (2) |
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3.7 Computing with MATLAB® |
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152 | (5) |
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157 | (1) |
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158 | (1) |
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159 | (12) |
Chapter 4 Fourier Series |
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171 | (50) |
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171 | (1) |
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172 | (1) |
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4.2 Trigonometric Fourier Series |
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172 | (9) |
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4.3 Exponential Fourier Series |
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181 | (7) |
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4.4 Properties of Fourier Series |
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188 | (8) |
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188 | (1) |
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189 | (1) |
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189 | (1) |
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190 | (1) |
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4.4.5 Even and Odd Symmetries |
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190 | (2) |
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192 | (4) |
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4.5 Truncated Complex Fourier Series |
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196 | (1) |
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197 | (7) |
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197 | (3) |
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200 | (1) |
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200 | (4) |
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4.7 Computing with MATLAB® |
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204 | (4) |
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208 | (2) |
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210 | (1) |
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211 | (10) |
Chapter 5 Fourier Transform |
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221 | (50) |
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Career in Control Systems |
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221 | (1) |
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222 | (1) |
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5.2 Definition of the Fourier Transform |
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222 | (7) |
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5.3 Properties of Fourier Transform |
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229 | (10) |
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229 | (1) |
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230 | (1) |
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230 | (1) |
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231 | (1) |
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5.3.5 Time Differentiation |
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232 | (1) |
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5.3.6 Frequency Differentiation |
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232 | (1) |
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233 | (1) |
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233 | (1) |
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234 | (5) |
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5.4 Inverse Fourier Transform |
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239 | (1) |
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240 | (10) |
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241 | (3) |
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5.5.2 Amplitude Modulation |
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244 | (3) |
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247 | (3) |
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250 | (3) |
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5.7 Comparing the Fourier and Laplace Transforms |
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253 | (1) |
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5.8 Computing with MATLAB® |
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254 | (3) |
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257 | (1) |
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258 | (1) |
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259 | (12) |
Chapter 6 Discrete Fourier Transform |
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271 | (38) |
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Career in Communications Systems |
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271 | (1) |
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272 | (1) |
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6.2 Discrete-Time Fourier Transform |
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272 | (5) |
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277 | (12) |
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277 | (1) |
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6.3.2 Time Shifting and Frequency Shifting |
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278 | (1) |
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6.3.3 Time Reversal and Conjugation |
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279 | (1) |
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280 | (1) |
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6.3.5 Frequency Differentiation |
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281 | (1) |
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6.3.6 Time and Frequency Convolution |
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282 | (1) |
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283 | (1) |
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6.3.8 Parseval's Relation |
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284 | (5) |
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6.4 Discrete Fourier Transform |
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289 | (5) |
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6.5 Fast Fourier Transform |
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294 | (1) |
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6.6 Computing with MATLAB® |
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295 | (3) |
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298 | (3) |
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6.7.1 Touch-Tone Telephone |
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298 | (1) |
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299 | (2) |
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301 | (1) |
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302 | (1) |
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303 | (6) |
Chapter 7 z-Transform |
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309 | (44) |
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309 | (1) |
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310 | (1) |
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7.2 Definition of the z-Transform |
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311 | (2) |
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7.3 Region of Convergence |
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313 | (2) |
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7.4 Properties of the z-Transform |
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315 | (12) |
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316 | (1) |
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316 | (1) |
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317 | (1) |
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318 | (1) |
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318 | (1) |
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319 | (1) |
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320 | (1) |
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7.4.8 Initial and Final Values |
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320 | (7) |
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327 | (5) |
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7.5.1 Long Division Expansion |
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327 | (2) |
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7.5.2 Partial Fraction Expansion |
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329 | (3) |
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332 | (7) |
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7.6.1 Linear Difference Equation |
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333 | (2) |
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335 | (4) |
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7.7 Computing with MATLAB® |
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339 | (4) |
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343 | (1) |
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344 | (1) |
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345 | (8) |
Selected Bibliography |
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353 | (2) |
Appendix A: Mathematical Formulas |
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355 | (12) |
Appendix B: Complex Numbers |
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367 | (8) |
Appendix C: Introduction to MATLAB® |
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375 | (14) |
Appendix D: Answers to Odd-Numbered Problems |
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389 | (26) |
Index |
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415 | |