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Chapter 1 Signals and Systems |
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1 | (50) |
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1 | (1) |
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1.2 Signals and Classification of Signals |
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1 | (5) |
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1.3 Basic Continuous-Time Signals |
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6 | (5) |
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1.4 Basic Discrete-Time Signals |
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11 | (3) |
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1.5 Systems and Classification of Systems |
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14 | (37) |
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17 | (34) |
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Chapter 2 Linear Time-Invariant Systems |
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51 | (50) |
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51 | (1) |
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2.2 Response of a Continuous-Time LTI System and the Convolution Integral |
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51 | (2) |
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2.3 Properties of Continuous-Time LTI Systems |
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53 | (1) |
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2.4 Eigenfunctions of Continuous-Time LTI Systems |
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54 | (1) |
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2.5 Systems Described by Differential Equations |
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54 | (2) |
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2.6 Response of a Discrete-Time LTI System and Convolution Sum |
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56 | (1) |
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2.7 Properties of Discrete-Time LTI Systems |
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57 | (1) |
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2.8 Eigenfunctions of Discrete-Time LTI Systems |
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58 | (1) |
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2.9 Systems Described by Difference Equations |
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59 | (42) |
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60 | (41) |
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Chapter 3 Laplace Transform and Continuous-Time LTI Systems |
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101 | (47) |
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101 | (1) |
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3.2 The Laplace Transform |
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101 | (4) |
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3.3 Laplace Transforms of Some Common Signals |
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105 | (1) |
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3.4 Properties of the Laplace Transform |
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106 | (3) |
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3.5 The Inverse Laplace Transform |
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109 | (1) |
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110 | (3) |
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3.7 The Unilateral Laplace Transform |
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113 | (35) |
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116 | (32) |
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Chapter 4 The z-Transform and Discrete-Time LTI Systems |
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148 | (45) |
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148 | (1) |
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148 | (4) |
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4.3 z-Transforms of Some Common Sequences |
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152 | (1) |
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4.4 Properties of the z-Transform |
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153 | (3) |
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4.5 The Inverse z-Transform |
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156 | (2) |
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4.6 The System Function of Discrete-Time LTI Systems |
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158 | (2) |
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4.7 The Unilateral z-Transform |
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160 | (33) |
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160 | (33) |
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Chapter 5 Fourier Analysis of Continuous-Time Signals and Systems |
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193 | (68) |
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193 | (1) |
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5.2 Fourier Series Representation of Periodic Signals |
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193 | (3) |
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5.3 The Fourier Transform |
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196 | (4) |
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5.4 Properties of the Continuous-Time Fourier Transform |
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200 | (3) |
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5.5 The Frequency Response of Continuous-Time LTI Systems |
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203 | (3) |
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206 | (3) |
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209 | (52) |
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210 | (51) |
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Chapter 6 Fourier Analysis of Discrete-Time Signals and Systems |
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261 | (68) |
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261 | (1) |
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6.2 Discrete Fourier Series |
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261 | (2) |
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6.3 The Fourier Transform |
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263 | (4) |
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6.4 Properties of the Fourier Transform |
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267 | (4) |
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6.5 The Frequency Response of Discrete-Time LTI Systems |
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271 | (2) |
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6.6 System Response to Sampled Continuous-Time Sinusoids |
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273 | (1) |
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274 | (1) |
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6.8 The Discrete Fourier Transform |
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275 | (54) |
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278 | (51) |
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Chapter 7 State Space Analysis |
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329 | (63) |
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329 | (1) |
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329 | (1) |
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7.3 State Space Representation of Discrete-Time LTI Systems |
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330 | (2) |
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7.4 State Space Representation of Continuous-Time LTI Systems |
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332 | (2) |
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7.5 Solutions of State Equations for Discrete-Time LTI Systems |
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334 | (3) |
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7.6 Solutions of State Equations for Continuous-Time LTI Systems |
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337 | (55) |
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340 | (52) |
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392 | (25) |
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392 | (1) |
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392 | (2) |
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8.3 Statistics of Random Processes |
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394 | (6) |
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8.4 Gaussian Random Process |
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400 | (17) |
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401 | (16) |
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Chapter 9 Power Spectral Density and Random Signals in Linear System |
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417 | (26) |
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417 | (1) |
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9.2 Correlations and Power Spectral Densities |
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417 | (2) |
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419 | (2) |
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9.4 Response of Linear System to Random Input |
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421 | (22) |
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424 | (19) |
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Appendix A Review of Matrix Theory |
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443 | (16) |
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A.1 Matrix Notation and Operations |
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443 | (3) |
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A.2 Transpose and Inverse |
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446 | (1) |
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A.3 Linear Independence and Rank |
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447 | (1) |
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448 | (2) |
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A.5 Eigenvalues and Eigenvectors |
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450 | (1) |
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A.6 Diagonalization and Similarity Transformation |
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451 | (1) |
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A.7 Functions of a Matrix |
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452 | (6) |
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A.8 Differentiation and Integration of Matrices |
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458 | (1) |
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Appendix B Review of Probability |
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459 | (19) |
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459 | (5) |
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464 | (4) |
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B.3 Two-Dimensional Random Variables |
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468 | (2) |
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B.4 Functions of Random Variables |
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470 | (3) |
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473 | (5) |
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Appendix C Properties of Linear Time-Invariant Systems and Various Transforms |
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478 | (9) |
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C.1 Continuous-Time LTI Systems |
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478 | (1) |
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C.2 The Laplace Transform |
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478 | (2) |
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C.3 The Fourier Transform |
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480 | (1) |
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C.4 Discrete-Time LTI Systems |
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481 | (1) |
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482 | (1) |
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C.6 The Discrete-Time Fourier Transform |
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483 | (2) |
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C.7 The Discrete Fourier Transform |
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485 | (1) |
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485 | (1) |
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C.9 Discrete Fourier Series |
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486 | (1) |
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Appendix D Review of Complex Numbers |
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487 | (2) |
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D.1 Representation of Complex Numbers |
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487 | (1) |
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D.2 Addition, Multiplication, and Division |
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488 | (1) |
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D.3 The Complex Conjugate |
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488 | (1) |
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D.4 Powers and Roots of Complex Numbers |
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488 | (1) |
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Appendix E Useful Mathematical Formulas |
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489 | (2) |
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489 | (1) |
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489 | (1) |
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E.3 Trigonometric Identities |
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489 | (1) |
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E.4 Power Series Expansions |
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490 | (1) |
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E.5 Exponential and Logarithmic Functions |
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490 | (1) |
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E.6 Some Definite Integrals |
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490 | (1) |
Schaum's Signals and Systems Videos |
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491 | (1) |
Schaum's Signals and Systems MATLAB Videos |
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492 | (1) |
Index |
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493 | |