Consider the accumulator system, y[n] = y[n-1] + x[n]. Find its transfer function, poles, and zeros. Find its impulse response h[n]. Is this a stable system? a) Zero at z = 2, Pole at z = 0, h[n] = 2 u[n], unstable b) Zero at z = 1, Pole at z = 0, h[n] = d[n], stable c) Zero at z = 0, Pole at z = 1, h[n] = u[n], unstable d) Zero at z = 0, Pole at z = 1, h[n] = u[n], stable

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Consider the accumulator system, y[n] = y[n-1] + x[n].
Find its transfer function, poles, and zeros.
Find its impulse response h[n].
Is this a stable system?
a) Zero at z = 2, Pole at z = 0, h[n] = 2 u[n], unstable
b) Zero at z = 1, Pole at z = 0, h[n] = d[n], stable
c) Zero at z = 0, Pole at z = 1, h[n] = u[n], unstable
d) Zero at z = 0, Pole at z = 1, h[n] = u[n], stable
Transcribed Image Text:Consider the accumulator system, y[n] = y[n-1] + x[n]. Find its transfer function, poles, and zeros. Find its impulse response h[n]. Is this a stable system? a) Zero at z = 2, Pole at z = 0, h[n] = 2 u[n], unstable b) Zero at z = 1, Pole at z = 0, h[n] = d[n], stable c) Zero at z = 0, Pole at z = 1, h[n] = u[n], unstable d) Zero at z = 0, Pole at z = 1, h[n] = u[n], stable
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