What is aliasing?

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When considering the reconstruction of a signal, we are familiar with the idea of the Nyquist rate. This concept allows us to find the sampling rate that will provide for perfect reconstruction of our signal. If we sample at too low of a rate (below the Nyquist rate), then problems will arise that will make perfect reconstruction impossible - this problem is known as aliasing.

Aliasing occurs when there is an overlap in the shifted, perioidic copies of our original signal's FT, i.e. spectrum

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