Using the z transform, solve the difference equation and find out impulse response. $Y[n]

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Using the z transform, solve the difference equation and find out impulse response. $Y[n] - 2y[n-1] + y[n-2] = x[n] + 3x [n-3]$

written 9.1 years ago by

teamques10 ★ 70k

• modified 9.1 years ago

Mumbai University > EXTC > Sem 4 > Signals and Systems

Marks : 10

Year : DEC 2015

signals and systems

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written 9.1 years ago by

teamques10 ★ 70k

The given difference equation is

$y[n] – 2y[n - 1] + y[n - 2] = x[n] + 3x[n - 3]$

Taking Z-transform of the difference equation

$Y(z) – 2z^{-1} Y(z) + z^{-2} Y(z) = X(z) + 3z^{-3} X(z) ----------- 1 \\ [1 - 2z^{-1} + z^{-2}] Y(z) = [1 + …

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