A continuous signal contains the following two components: x1(t) = 3 cos 20πt x2(t) = 3...

A continuous signal contains the following two components:
x1(t) = 3 cos 20πt
x2(t) = 3 cos 50πt
(a) Find the minimum required sampling rate to avoid aliasing.
(b) Draw the discrete time signals obtained after sampling, when sampled with Fs = 100 Hz. Explain the disadvantage(s), if any, of sampling beyond the Nyquist rate.
(c) Assume the sampling rate is Fs= 40 Hz, which components are exposed to aliasing effects? Support your answer by showing “Nyquist intervals” and the aliased frequencies.

Solutions

Expert Solution

We found sampling frequency of given signals.

If we use Fs = 100Hz, there is no disadvantage. It's always better to use more than twice of signal frequency to avoid aliasing.

We discussed if sampling frequency is less , then there is aliasing.

Fs= 40 Hz will only affect X2 signal as sampling frequency is less.

We discussed in the form of Nyquist intervals as there will be overlapping in X2 signal if we use Fs = 40 Hz coz it's taking more time to pass. As it's taking more time to pass, incoming signal will collide with current signal

Manojponduru answered 6 months ago

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