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Notation

Frequency and Time:

$ \omega$ denotes continuous radian frequency (rad/sec)
$ f$ denotes continuous frequency in Hertz (Hz)
$ \omega= 2\pi f$
$ \omega_k $ denotes discrete frequency, $ \omega_k = 2\pi (k/N) f_s$
$ \omega, \omega_k \in {\bf R}$ (frequencies are always real)
$ T = $ sampling interval (sec) (typically $ T=1$ )
$ f_s = $ sampling rate, $ f_s=\frac{1}{T}$
$ t_n = nT $ (discrete time)
$ n,k \in {\bf Z}$ (integers)
$ t,t_n \in {\bf R}$ (times are always real)


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``Music 421 Overview'', by Julius O. Smith III, (From Lecture Overheads, Music 421).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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