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

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DenisK
DenisK 2018-3-21
回答： DenisK 2018-3-23
% 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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Abraham Boayue
Abraham Boayue 2018-3-23
I hope this will be of some help.
b = [1, -.5];
a = [-.5, 1];
H= zplane(b,a);

更多回答（2 个）

Abraham Boayue
Abraham Boayue 2018-3-22
Look here.<https://www.mathworks.com/matlabcentral/answers/386745-how-can-i-find-y-n>
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DenisK
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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DenisK
DenisK 2018-3-23
Lots of thanks

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