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Signals and Systems - Engineering

Q1:

The function (sin x)/x

A
has a period 2p, decays with increasing x and has zeros at np, n = ± 1, ± 2

B
has a period p

C
has a period p/2

D
has a period 2p, decays with increasing x, is an even function and has zeros at np, n = ± 1, ± 2

ANS:D -

has a period 2p, decays with increasing x, is an even function and has zeros at np, n = ± 1, ± 2

(sin x)/x is the sinc (x) having the properties as mentioned in option D.