For the FIR digital filter with impulse response given by $h(n) = 2 \delta(n) + 3 \delta(n-1) + 4 \delta(n-3) + \delta(n-4)$ sketch the magnitude response of the filter.

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For the FIR digital filter with impulse response given by

$h(n) = 2 \delta(n) + 3 \delta(n-1) + 4 \delta(n-3) + \delta(n-4)$ sketch the magnitude response of the filter.

written 8.3 years ago by

teamques10 ★ 69k

• modified 4.9 years ago

digital signal processing

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written 8.3 years ago by

teamques10 ★ 69k

To sketch the magnitude of the filter, we find h(n) using iteration method.

h(0) = 2 δ(0) + 3 δ(-1) + 4 δ(-3) + δ(-4) = 2

h(1) = 2 δ(1) + 3 δ(0) + 4 δ(-2) + δ(-3) = 3

h(2) = 2 δ(2) + 3 δ(1) + 4 …

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