Minimum Frequency Separation vs. Window Length

The requirements on window length for resolving closely tuned sinusoids was discussed in §1.7. This section considers this issue for the Kaiser window. Table 3.1 lists the parameter required for a Kaiser window to resolve equal-amplitude sinusoids with a frequency spacing of rad/sample [1, Table 8-9]. Recall from §3.8 that can be interpreted as half of the time-bandwidth of the window (in cycles).

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.