Hi, how can I calculate an impulse response of the LTI system, for a given function : y[n] - 0.5y[n-1] = -0.5x[n] + x[n-1]

Question

DenisK 2018-3-21

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https://ww2.mathworks.cn/matlabcentral/answers/389813-hi-how-can-i-calculate-an-impulse-response-of-the-lti-system-for-a-given-function-y-n-0-5-y-n

回答： DenisK 2018-3-23

采纳的回答： Abraham Boayue

% create a symbolic expresion for y(n) and x(n)

syms y(n)

syms x(n)

%define function for transform Z

y(n)= 0.5*y(n-1)-0.5*x(n)+x(n-1);

ztrans(y(n))

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Answer 1

Abraham Boayue 2018-3-23

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https://ww2.mathworks.cn/matlabcentral/answers/389813-hi-how-can-i-calculate-an-impulse-response-of-the-lti-system-for-a-given-function-y-n-0-5-y-n#answer_311476

在 MATLAB Online 中打开

I hope this will be of some help.

b = [1, -.5]; 
a = [-.5, 1]; 
H= zplane(b,a);

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Answer 2

Abraham Boayue 2018-3-22

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https://ww2.mathworks.cn/matlabcentral/answers/389813-hi-how-can-i-calculate-an-impulse-response-of-the-lti-system-for-a-given-function-y-n-0-5-y-n#answer_311266

Look here.<https://www.mathworks.com/matlabcentral/answers/386745-how-can-i-find-y-n>

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DenisK 2018-3-22

Probably, I didn't explain myself correctly. My purpose is to find a transport function of given LTI system equation and compare it to this I received analytically. That's why I tried to perform transform Z, and what I wanted to find is H(z)=Y(z)/X(z). How can I do this in matlab?

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