24-01-2013, 11:24 AM
VERIFICATION OF SAMPLING THEOREM
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Sampling:
Is the process of converting a continuous time signal into a discrete time
signal. It is the first step in conversion from analog signal to digital signal.
Sampling theorem:
Sampling theorem states that “Exact reconstruction of a continuous
time base-band signal from its samples is possible, if the signal is band-limited and the
sampling frequency is greater than twice the signal bandwidth”.
i.e. fs > 2W, where W is the signal bandwidth.
Nyquist Rate Sampling: The Nyquist rate is the minimum sampling rate required to
avoid aliasing, equal to the highest modulating frequency contained within the signal.
In other words, Nyquist rate is equal to two sided bandwidth of the signal (Upper and
lower sidebands)