Window Examples
Terminology:
- represents the width, in samples, of a discrete-time, symmetrical window function. When N is an odd number, the non-flat windows have a singular maximum point. When N is even, they have a double maximum.
- A common desire is for an asymmetrical window called DFT-even or periodic, which has a single maximum but an even number of samples (required by the FFT algorithm). Such a window would be generated by the Matlab function hann(512,'periodic'), for instance. Here, that window would be generated by N=513 and discarding the 513th element of the sequence.
- is an integer, with values 0 ≤ n ≤ N-1. Thus, these are lagged versions of functions whose maximum occurs at n=0.
- Each figure label includes the corresponding noise equivalent bandwidth metric (B), in units of DFT bins. As a guideline, windows are divided into two groups on the basis of B. One group comprises, and the other group comprises . The Gauss, Kaiser, and Poisson windows are parametric families that span both groups, though only one or two examples of each are shown.
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Famous quotes containing the words window and/or examples:
“Then is what you see through this window onto the world so lovely that you have no desire whatsoever to look out through any other window?—and that you even make an attempt to prevent others from doing so?”
—Friedrich Nietzsche (1844–1900)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)