Kaiser window
The Kaiser window, also known as the Kaiser–Bessel window, was developed by James Kaiser at Bell Laboratories. It is a one-parameter family of window functions used for digital signal processing, and is defined by the formula:
where:
When N is an odd number, the peak value of the window is and when N is even, the peak values are
![\scriptstyle w[(N-1)/2] = 1,](https://wikimedia.org/api/rest_v1/media/math/render/svg/cd9d2b63c9d36d6abe8019c816e3d8c05ef31284)
![\scriptstyle w[N/2-1]\ =\ w[N/2]\ <\ 1.](https://wikimedia.org/api/rest_v1/media/math/render/svg/7835fbb025165c645caa9504efdd368392964bcd)
Underlying the discrete sequence is this continuous-time function and its Fourier transform:
The maximum value of w0(t) is w0(0) = 1. The w[n] sequence defined above are the samples of:
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