Sampling and Reconstruction of Analog Signals
Sampling and Reconstruction of Analog Signals
Sampling and Reconstruction of Analog Signals
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<strong>Sampling</strong> Principle<br />
• A b<strong>and</strong>-limited signal x a (t) with b<strong>and</strong>width F 0 can be<br />
reconstructed from its sample values x(n)=x a (nT s ) if the<br />
sampling frequency F s =1/T s is greater than twice the<br />
b<strong>and</strong>width F 0 <strong>of</strong> x a (t) ,<br />
F s >2 F 0 .<br />
• Otherwise aliasing would result in x(n). The sampling rate <strong>of</strong> 2<br />
F 0 for an analog b<strong>and</strong>-limited signal is called the Nyquist rate.<br />
• After xa(t) is sampled, the highest anal og frequency that x(n)<br />
represents is Fs/2 Hz (or ω = π)
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