The _Nyquist-Shannon sampling theorem_ gives us a fundamental constraint for [sampling](Sampling) from a [continuous signal](Continuous%20signals) such that we can deduce the exact form of that original signal. It states that a [bandlimited](Bandlimited%20signals) continuous singal, $x(t)$ must be sampled with a frequency $f_{s}$ such that $f_{s}>2f_{H}$ where $f_H$ is the highest frequency present in the signal in order to be able to exactly deduce the original signal. The frequency that must be exceded, $2f_{H},$ is referred to as the _Nyquist rate_ while the highest frequency present in an original signal, $f_{H}$ is referred to as th _Nyquist Frequency._ ^5bdec0
If a signal contains any frequency $f_H$ that higher than half the [sampling frequency,](Nyquist-Shannon%20sampling%20theorem#^5bdec0) then [aliasing](Aliasing.md) will occur.
%%In Oppenheim and Willsky they refer to the sginal being uniquely determined by its samples. Is this the same as it being bandlimited?%%
#MathematicalFoundations/SignalProcessing