2. Time-Domain Representations of LTI Systems

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2. Impulse Response of LTI System HOutput:Input x[n]LTI systemHyn H x n H x k n kk y n H x k n kk k 2.2 Convolution Sumy [ n] x[k]H{[n k]}Linearity(2.2)Output y[n]HomogeneityThe system output is a weighted sum of theresponse of the system to time-shifted impulses.For time-invariant system:H{ [n k]} h[ n k] (2.3)h[n] = H{[n]} impulseresponse of the LTI system Hk y [ n] x[k]h[n k](2.4)Convolution process:Fig. 2.2.Time-Domain Representations ofLTI Systems4
3. ConvolutionSum x n h n x k h n kk 2.2 Convolution Sumx[ 1][n 1]x[ 0] [n]x[ 1] n [ 1]x[ 2] n [ 2] kx [ n] x[k][n k]Time-Domain Representations ofLTI Systems5
Page 7 and 8: 2.3 Convolution Sum Evaluation Proc
Page 13 and 14: 2. Impulse response of LTI system H
Page 15 and 16: 2.5 Convolution Integral Evaluation
Page 17 and 18: 1. Parallel Connection of LTI Syste
Page 19 and 20: 2.6 Interconnection of LTI Systems(
Page 21 and 22: 2.6 Interconnection of LTI Systems2
Page 23 and 24: 2.7 Relations Between LTISystem Pro
Page 31 and 32: 2.8 Step Response◆ Continuous-tim
Page 33 and 34: 2.9 Differential and DifferenceEqua
Page 39 and 40: If a root r j is repeated p timesin
Page 41 and 42: 2.10 SolvingDifferential and Differ
Page 47 and 48: 2.11 Characteristics of Systems Des
Page 53 and 54:
2.11 Characteristics of Systems Des
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2. Time-Domain Representations of LTI Systems

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