Normalized frequency (signal processing)

In digital signal processing (DSP), a normalized frequency is a ratio of a variable frequency ( $f$
) and a constant frequency associated with a system (such as a sampling rate, $f_{s}$
). Some software applications require normalized inputs and produce normalized outputs, which can be re-scaled to physical units when necessary. Mathematical derivations are usually done in normalized units, relevant to a wide range of applications.

== Examples of normalization == A typical choice of characteristic frequency is the sampling rate ( $f_{s}$
) that is used to create the digital signal from a continuous one. The normalized quantity, $f_{s}$ Some programs (such as MATLAB toolboxes) that design filters with real-valued coefficients prefer the Nyquist frequency $[0,1]$ A common practice is to sample the frequency spectrum of the sampled data at frequency intervals of ${\tfrac {N}{2}}$ Angular frequency, denoted by $\omega '={\tfrac {\omega }{f_{s}}},$ The following table shows examples of normalized frequency for $f_{s}=44100$

== See also == Prototype filter

== References ==

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Category

Signal Processing - Engineering