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Signals and Systems - Engineering

Q1:

A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low pass filter with cut off frequency 800 Hz. The output signal has the frequency.

A 0 Hz

B 0.75 kHz

C 0.5 kHz

D 0.25 kHz

ANS:C - 0.5 kHz

Given fs = 1500 Hz ⇒ fm = 750 Hz. The given signal frequency is 1 kHz. The sampled frequency is 2.5 kHz, 0.5 kHz, But cut off frequency is 800 Hz or 0.8 kHz. Therefore only 0.5 kHz will pass.