Input Signal Time Index n 50 100 150 200 Output Signal Pass Frequency f 1 50

Input signal time index n 50 100 150 200 output

This preview shows page 23 - 32 out of 55 pages.

Input Signal Time Index ( n ) 0 50 100 150 200 Output Signal Pass Frequency f 1 0 50 100 150 200 Output Signal Pass Frequency f 2 Transform Analysis of LTI Systems- 46 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle FRF for Rational System Functions
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 24 Transform Analysis of LTI Systems- 47 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Computation of Rational Frequency Responses Transform Analysis of LTI Systems- 48 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Magnitude, Phase-delay, & Group-delay
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 25 Transform Analysis of LTI Systems- 49 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Efficient Computation of Group-delay Transform Analysis of LTI Systems- 50 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Efficient Computation of Group-delay
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 26 Transform Analysis of LTI Systems- 51 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle M ATLAB Functions for the FRF Transform Analysis of LTI Systems- 52 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Example
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 27 Transform Analysis of LTI Systems- 53 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Interactive Filter Visualization Tool fvtool(b,a) Transform Analysis of LTI Systems- 54 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Motivation: Why Poles and Zeros? Unit circle z-plane
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 28 Transform Analysis of LTI Systems- 55 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Geometrical Computation of the FRF 0 Z P k Z k O ω β k α k Φ k Θ k 1 z k p k θ k φ k Transform Analysis of LTI Systems- 56 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Significance of Poles and Zeros Unit Circle Unit Circle
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 29 Transform Analysis of LTI Systems- 57 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle First-Order Systems (Real Coefficients) Transform Analysis of LTI Systems- 58 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Single Real Pole
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 30 Transform Analysis of LTI Systems- 59 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle First-Order All-Zero System: Complex Case Transform Analysis of LTI Systems- 60 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle Single Complex Pole
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Applied Digital Signal Processing 5/23/14 Chapter 5: Transform Analysis of LTI Systems 31 Transform Analysis of LTI Systems- 61 Applied Digital Signal Processing © 2015 D.G. Manolakis and V.K. Ingle
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