Preface |
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1 | (15) |
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16 | (4) |
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20 | (2) |
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22 | (3) |
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B.5 Partial Fraction Expansion |
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25 | (10) |
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35 | (7) |
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B.7 MATLAB: Elementary Operations |
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42 | (12) |
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B.8 Appendix: Useful Mathematical Formulas |
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54 | (10) |
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58 | (1) |
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59 | (5) |
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64 | (7) |
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1.2 Some Useful Signal Operations |
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71 | (7) |
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1.3 Classification of Signals |
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78 | (4) |
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1.4 Some Useful Signal Models |
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82 | (10) |
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1.5 Even and Odd Functions |
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92 | (3) |
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95 | (2) |
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1.7 Classification of Systems |
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97 | (14) |
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1.8 System Model: Input-Output Description |
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111 | (8) |
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1.9 Internal and External Descriptions of a System |
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119 | (2) |
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1.10 Internal Description: The State-Space Description |
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121 | (5) |
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1.11 MATLAB: Working with Functions |
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126 | (7) |
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133 | (17) |
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135 | (1) |
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136 | (14) |
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2 Time-Domain Analysis of Continuous-Time Systems |
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150 | (1) |
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2.2 System Response to Internal Conditions: The Zero-Input Response |
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151 | (12) |
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2.3 The Unit Impulse Response h(t) |
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163 | (5) |
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2.4 System Response to External Input: The Zero-State Response |
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168 | (28) |
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196 | (7) |
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2.6 Intuitive Insights into System Behavior |
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203 | (9) |
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212 | (8) |
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2.8 Appendix: Determining the Impulse Response |
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220 | (1) |
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221 | (16) |
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223 | (1) |
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223 | (14) |
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3 Signal Representation by Fourier Series |
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237 | (6) |
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3.2 Signal Comparison: Correlation |
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243 | (7) |
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3.3 Signal Representation by an Orthogonal Signal Set |
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250 | (11) |
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3.4 Trigonometric Fourier Series |
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261 | (16) |
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3.5 Existence and Convergence of the Fourier Series |
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277 | (9) |
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3.6 Exponential Fourier Series |
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286 | (17) |
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3.7 LTIC System Response to Periodic Inputs |
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303 | (4) |
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3.8 Numerical Computation of Dn |
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307 | (2) |
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3.9 MATLAB: Fourier Series Applications |
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309 | (7) |
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316 | (14) |
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317 | (1) |
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318 | (12) |
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4 Continuous-Time Signal Analysis: The Fourier Transform |
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4.1 Aperiodic Signal Representation by the Fourier Integral |
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330 | (10) |
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4.2 Transforms of Some Useful Functions |
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340 | (12) |
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4.3 Some Properties of the Fourier Transform |
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352 | (20) |
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4.4 Signal Transmission Through LTIC Systems |
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372 | (9) |
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4.5 Ideal and Practical Filters |
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381 | (3) |
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384 | (4) |
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4.7 Application to Communications: Amplitude Modulation |
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388 | (13) |
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401 | (13) |
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4.9 Data Truncation: Window Functions |
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414 | (6) |
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4.10 MATLAB: Fourier Transform Topics |
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420 | (5) |
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425 | (2) |
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427 | (6) |
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427 | (13) |
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440 | (9) |
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5.2 Signal Reconstruction |
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449 | (14) |
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5.3 Analog-to-Digital (A/D) Conversion |
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463 | (3) |
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5.4 Dual of Time Sampling: Spectral Sampling |
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466 | (3) |
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5.5 Numerical Computation of the Fourier Transform: The Discrete Fourier Transform |
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469 | (19) |
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5.6 The Fast Fourier Transform (FFT) |
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488 | (3) |
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5.7 MATLAB: The Discrete Fourier Transform |
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491 | (7) |
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498 | (11) |
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499 | (1) |
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499 | (10) |
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6 Continuous-Time System Analysis Using the Laplace Transform |
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6.1 The Laplace Transform |
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509 | (23) |
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6.2 Some Properties of the Laplace Transform |
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532 | (12) |
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6.3 Solution of Differential and Integro-Differential Equations |
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544 | (13) |
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6.4 Analysis of Electrical Networks: The Transformed Network |
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557 | (13) |
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570 | (2) |
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572 | (16) |
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6.7 Application to Feedback and Controls |
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588 | (24) |
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6.8 The Bilateral Laplace Transform |
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612 | (10) |
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622 | (16) |
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624 | (1) |
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624 | (14) |
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7 Frequency Response and Analog Filters |
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7.1 Frequency Response of an LTIC System |
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638 | (8) |
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646 | (16) |
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7.3 Control System Design Using Frequency Response |
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662 | (5) |
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7.4 Filter Design by Placement of Poles and Zeros of H(s) |
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667 | (10) |
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677 | (11) |
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688 | (12) |
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7.7 Frequency Transformations |
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700 | (14) |
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7.8 Filters to Satisfy Distortionless Transmission Conditions |
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714 | (2) |
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7.9 MATLAB: Continuous-Time Filters |
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716 | (5) |
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721 | (9) |
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722 | (1) |
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722 | (8) |
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8 Discrete-Time Signals and Systems |
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730 | (3) |
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8.2 Useful Signal Operations |
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733 | (5) |
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8.3 Some Useful Discrete-Time Signal Models |
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738 | (15) |
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8.4 Aliasing and Sampling Rate |
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753 | (3) |
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8.5 Examples of Discrete-Time Systems |
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756 | (9) |
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8.6 MATLAB: Representing, Manipulating, and Plotting Discrete-Time Signals |
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765 | (1) |
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766 | (8) |
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768 | (6) |
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9 Time-Domain Analysis of Discrete-Time Systems |
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9.1 Classification of Discrete-Time Systems |
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774 | (3) |
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9.2 Discrete-Time System Equations |
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777 | (5) |
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9.3 System Response to Internal Conditions: The Zero-Input Response |
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782 | (7) |
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9.4 The Unit Impulse Response h[ n] |
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789 | (4) |
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9.5 System Response to External Input: The Zero-State Response |
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793 | (18) |
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811 | (6) |
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9.7 Intuitive Insights into System Behavior |
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817 | (2) |
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9.8 MATLAB: Discrete-Time Systems |
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819 | (4) |
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9.9 Appendix: Impulse Response for a Special Case |
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823 | (1) |
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824 | (14) |
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825 | (13) |
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10 Fourier Analysis of Discrete-Time Signals |
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10.1 Periodic Signal Representation by Discrete-Time Fourier Series |
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838 | (9) |
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10.2 Aperiodic Signal Representation by Fourier Integral |
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847 | (12) |
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10.3 Properties of the DTFT |
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859 | (10) |
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10.4 DTFT Connection with the CTFT |
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869 | (3) |
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10.5 LTI Discrete-Time System Analysis by DTFT |
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872 | (5) |
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10.6 Signal Processing by the DFT and FFT |
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877 | (22) |
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10.7 Generalization of the DTFT to the z-Transform |
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899 | (3) |
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10.8 MATLAB: Working with the DTFS and the DTFT |
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902 | (3) |
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905 | (13) |
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906 | (1) |
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906 | (12) |
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11 Discrete-Time System Analysis Using The Z-Transform |
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918 | (13) |
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11.2 Some Properties of the z-Transform |
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931 | (8) |
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11.3 Z-Transform Solution of Linear Difference Equations |
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939 | (11) |
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950 | (6) |
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11.5 Connecting the Laplace and z-Transforms |
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956 | (3) |
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11.6 Sampled-Data (Hybrid) Systems |
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959 | (7) |
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11.7 The Bilateral z-Transform |
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966 | (9) |
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975 | (11) |
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975 | (1) |
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976 | (10) |
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12 Frequency Response and Digital Filters |
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12.1 Frequency Response of Discrete-Time Systems |
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986 | (7) |
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12.2 Frequency Response from Pole-Zero Locations |
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993 | (8) |
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1001 | (2) |
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12.4 Filter Design Criteria |
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1003 | (3) |
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12.5 Recursive Filter Design by the Time-Domain Criterion: The Impulse Invariance Method |
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1006 | (6) |
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12.6 Recursive Filter Design by the Frequency-Domain Criterion: The Bilinear Transformation Method |
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1012 | (15) |
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12.7 Nonrecursive Filters |
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1027 | (4) |
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12.8 Nonrecursive Filter Design |
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1031 | (16) |
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12.9 MATLAB: Designing High-Order Filters |
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1047 | (6) |
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1053 | (12) |
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1054 | (1) |
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1054 | (11) |
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13.1 Mathematical Preliminaries |
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1065 | (4) |
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13.2 Introduction to State Space |
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1069 | (3) |
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13.3 A Systematic Procedure to Determine State Equations |
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1072 | (10) |
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13.4 Solution of State Equations |
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1082 | (13) |
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13.5 Linear Transformation of a State Vector |
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1095 | (8) |
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13.6 Controllability and Observability |
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1103 | (6) |
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13.7 State-Space Analysis of Discrete-Time Systems |
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1109 | (8) |
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13.8 MATLAB: Toolboxes and State-Space Analysis |
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1117 | (8) |
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1125 | (5) |
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1125 | (1) |
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1126 | (4) |
Index |
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1130 | |