51 The output sequence signal and the sampling rate of an ideal CtoD converter
is shown below. If the input wave x(t) is given by the two sided spectrum
representation shown below determine the spectrum for x[n] when sampling
frequency is 2500 samples/second. Make a plot for your answer (versus discretetime
(or digital) frequency) showing the frequency, amplitude and phase of each
spectral component.
answer:
42 To synthesize a continuoustime signal, the assumption was that all of
its spectrum components were added together. Is this true for discretetime
signals? Explain your answer by highlighting the reasons for displaying several
different frequencies in representation of DT signal spectrum.
Solution
:
No, a discrete time signal spectrum components cannot be added together to
synthesize the signal. The reconstruction of a discrete time signal is possible only
from it samples.
When a discrete signal is sampled at different sampling frequencies, the location of
various spectrum components that make up the signal changes.The spectrum
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Three '10
 Pd
 Signal Processing, sampling rate, discrete time signal, Original signal

Click to edit the document details