FIR Filter DTFT Magnitude Calculation (h[0]=h[1]=1) | GATE 2023 Biomedical Engineering Question

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Biomedical Engineering > GATE 2023 > Digital Filters

A finite impulse response (FIR) filter has only two non-zero samples in its impulse response h[n], namely h=h=1. The Discrete Time Fourier Transform (DTFT) of h[n] equals H(e^jω), as a function of the normalized angular frequency ω. For the range |ω|≤π, |H(e^jω)| is equal to

A

2|cos(ω)|

B

2|sin(ω)|

C

2|cos(ω/2)|

D

2|sin(ω/2)|

Correct : c

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