Wednesday, April 25, 2018

homework - Impulse response of non-causal system



Suppose I have the following equation, where $x[n]$ is the input and $y[n]$ is the output: $$x[n]-x[n-1]=-10y[n-1]+2y[n]+2y[n+1].$$


The question asks me to compute the impulse response from this equation.


Attempts: $x[n]=1$ when $n=0$; $0$ otherwise. I need to find $h[n]=y[n]$, but, from the equation, it always depends on the future value $y[n+1]$, which is unknown.




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