Signals and Systems
Sampling
Practice questions from Sampling.
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IncorrectConsider a continuous-time finite-energy signal whose Fourier transform vanishes outside the frequency interval , where is in .
The signal is uniformly sampled to obtain . Here,
with being the Dirac impulse, , and . The sampled signal is passed through an ideal lowpass filter with cutoff frequency and passband gain .
The output of the filter is given by ___________.
if
Given: : Continuous-time finite-energy signal
exist in interval
FS-Coefficient calculation for p(t):
Let for one Time period
FS-Coefficient of
F.T. of periodic signal
Hence, option (A) is correct.
A continuous time signal is sampled at a rate of 15 Hz. The sampled signal when passed through an LTI system with impulse response
Produces an output The expression for is __________.
Marks to All
After sampling,
Now,
Hence, and components won’t appear in output.
Only will be present.
Let and be two band-limited signals having bandwidth each. In the figure below, the Nyquist sampling frequency, in , required to sample , is
Given that, and are two bandlimited signals having bandwidth .
and
