Consider two signals, x(t) and x(t), that are band-limited such that X (jw) = 0 for...

Transcribed Image Text:

Consider two signals, x₁(t) and x₂(t), that are band-limited such that X₂ (jw) = 0 for |w| ≥ w₂ The product of the two signals, x(t) = x₁(t)x₂ (t), is to be sampled by a periodic impulse train. a) Is x (t) band-limited? If so, what is the support (i.e., range of non-zero values) for X (jw)? X₁ (jw) = 0 for |w| ≥ w₁ b) What is the Nyquist rate for the signal x(t)? c) What is the maximum sampling interval, T, of the impulse train that would be required for x(t) to be recoverable from the sampled signal? (Assuming use of an ideal lowpass filter) Consider two signals, x₁(t) and x₂(t), that are band-limited such that X₂ (jw) = 0 for |w| ≥ w₂ The product of the two signals, x(t) = x₁(t)x₂ (t), is to be sampled by a periodic impulse train. a) Is x (t) band-limited? If so, what is the support (i.e., range of non-zero values) for X (jw)? X₁ (jw) = 0 for |w| ≥ w₁ b) What is the Nyquist rate for the signal x(t)? c) What is the maximum sampling interval, T, of the impulse train that would be required for x(t) to be recoverable from the sampled signal? (Assuming use of an ideal lowpass filter)

Answer rating: 100% (QA)

xt Multiplication in timedomain convolution in frequency x fw 1 x 100 x 100 27 3 T x Since ... View the full answer