Sampling Theorem - SlideServe

Channel Capacity: Nyquist and Shannon Limits - SlideServe

Given an analog waveform that has been sampled at its Nyquist rate, fs, using natural sampling, prove that a waveform (proportional to the original waveform) can be recovered from the samples, using the recovery techniques shown in Figure P2.1. The parameter mf is the frequency of the local oscillator, where m is an integer.x1(t)xg(t) Naturally sampled PAMLPFxo(t)H(f)cos(2Ï€mfst)Local oscillatorfs/2fs/2Figure P2.1

What is the Nyquist theorem?

The frequency which, under the sampling theorem, must be exceeded by the sampling frequency is called the Nyquist rate. Determine the Nyquist rate corresponding to each of the following signals: (a) x(t)=1+cos (2,000 π t)+sin (4,000 π t) (b) x(r)=(sin (4,000 π t))/(π t) (c) x(t)={ .(sin (4,000 π t))/(π t))^2 .

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