Let x(t) be a signal with Nyquist rate ω0. Determine the Nyquist rate for y(t) = x(t)cos(ω0t)

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  1. ω0
  2. 0
  3. 0
  4. 2π 

Answer (Detailed Solution Below)

Option 3 : 3ω0
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Detailed Solution

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CONCEPT:

When we multiply any signal with cos (ω0t) then that signal shifts by ω0

x (t) → X (ω)

If X(ω)

Then x(t) cos ω0t = y(t)

Given:

Nyquist Rate of x(t) is ω0

Let ωm is maximum frequency of x(t)

m = ω0

Now y (t) = x (t) cos ω0 t

So maximum frequency of y (t) = ω0 + ωm

Nyquist Rate of y (t) = 

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