Window Function - Window Examples

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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