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Question

The minimum sampling frequency of signal [10sinc3(400 t)90sinc4(500 t)]2sinc(300 t) to avoid aliasing should be __________Hz.
  1. 1500

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Solution

The correct option is A 1500
Maximum frequency component in
10 sinc3(400t) is (1200π) rad/sec

Maximum frequency component in
90 sinc4(500t) is (2000π) rad/sec

Maximum frequency component in 10 sinc3 (400t) 90 sinc4 (500t)is(1200π) rad/sec

Maximum frequency component in 2sinc (300t) is (300π) rad/sec

Hence for overall signal, maximum frequency component

=1200π+300π=1500π rad/sec.

Thus for avoiding aliasing

ωN 2ωmax2×1500π3000π rad/sec

fN=3000π2π=1500 Hz

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