You are given the following system with input x[n] and output y[n](convolution P
ID: 1716450 • Letter: Y
Question
You are given the following system with input x[n] and output y[n](convolution Problem):
A) Clearly, the system’s impulse response h[n]=v[n]*(g[n] + w[n]). Find a closed-form (i.e., it contains no summations) solution for h[n]. Looks like discrete-time convolution, doesn’t it? You do not need to further simplify once the solution is in closed-form.
B) Is this system BIBO stable? Justify your answer briefly.
C) Draw a block diagram of this system. Blocks should be labeled v[n], g[n], and w[n] and the input and output should also be labeled.
y[n] = (v[n]"(gin] + w [n]))*x[n] = 0.5 /n+2]. vln]-2-n-I], and wful-G) u[n +1]. where g[n] n+2], v[n] =2"-11Explanation / Answer
b)yes it's stable
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