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Q1) The impulse response of a linear time-invariant system is: h(n) [1 0 -1 3-2 4-2], Determine the response of the system to the input signal x(n)=[-2 3 0 -2 0 -2], Using discrete convolution method (Using graphical method),

Q1) The impulse response of a linear time-invariant system is: h(n) [1 0 -1 3-2 4-2], Determine the response of the system to the input signal x(n)=[-2 3 0 -2 0 -2], Using discrete convolution method (Using graphical method),

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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use the same method at the question Graphical Convolution and I will attach example also
example question (this is not the full answer Example 4.6 The impulse response of a linear time-invariant system is h(n)= [1,2,1,-1] ↑ Determine the response of the system to the input signal x(n)= [1,2,3,1] ↑ using convolution method. Solution: X(n) -1 0 1 2 3 4 5 6 y(0) h(k) -2 -1 0 1 2 3 4 5 Course Module h(-k) -1 0 1 2 3 4 5 h(1-k) 2 -2 -1 0 1 2 3 4 5 -1 h (2-k) -2 -1 -1 1 2 3 4 5 2 -1 0 1 2 3 4 5 y (0)=2*1+1 2 y(0)=2+2=4 y(1) -1 0 1 2 3 4 5 y (1)=1*1+2*2+1*3 y(1)=1+4+3=8 y(2) 6 ? -1 0 1 2 3 4 5 y(2)=-1*1+1 2+2 3+1*1 y(2)=-1+2+6+1=8
Transcribed Image Text:example question (this is not the full answer Example 4.6 The impulse response of a linear time-invariant system is h(n)= [1,2,1,-1] ↑ Determine the response of the system to the input signal x(n)= [1,2,3,1] ↑ using convolution method. Solution: X(n) -1 0 1 2 3 4 5 6 y(0) h(k) -2 -1 0 1 2 3 4 5 Course Module h(-k) -1 0 1 2 3 4 5 h(1-k) 2 -2 -1 0 1 2 3 4 5 -1 h (2-k) -2 -1 -1 1 2 3 4 5 2 -1 0 1 2 3 4 5 y (0)=2*1+1 2 y(0)=2+2=4 y(1) -1 0 1 2 3 4 5 y (1)=1*1+2*2+1*3 y(1)=1+4+3=8 y(2) 6 ? -1 0 1 2 3 4 5 y(2)=-1*1+1 2+2 3+1*1 y(2)=-1+2+6+1=8
Q1) The impulse response of a linear time-invariant system is: h(n) [1 0 -1 3-2 4-2], Determine the response of the system to the input signal x(n)=[-2 3 0 -2 0 -2], Using discrete convolution method (Using graphical method),
Transcribed Image Text:Q1) The impulse response of a linear time-invariant system is: h(n) [1 0 -1 3-2 4-2], Determine the response of the system to the input signal x(n)=[-2 3 0 -2 0 -2], Using discrete convolution method (Using graphical method),
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