y[n] = ay[n -1]+ x[n] b) Find the impulse response of the system c) Provide the
ID: 2943310 • Letter: Y
Question
y[n] = ay[n -1]+ x[n]b) Find the impulse response of the system
c) Provide the condition for the system to be time invariant
d) Is the system invertible? (Provide proof if it is or counterexample otherwise)
e) If the system is invertible, find the impulse response of its inverse.
f) Draw the block diagram of the system and its inverse
g) Provide the condition for the system to be stable
h) Assume the system is LTI (linear time invariant), evaluate and sketch the output of the
system using the convolution sum for the following input:
x[n] = u[n]- u[n - N], for N a positive integer
Explanation / Answer
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