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EXPWAVE - Complex exponential wave

Usage

h=expwave(L,m);
h=expwave(L,m,cent);

Description

expwave(L,m) returns an exponential wave revolving m times around the origin. The collection of all waves with wave number \(m=0,\ldots,L-1\) forms the basis of the discrete Fourier transform.

The wave has absolute value 1 everywhere. To get an exponential wave with unit \(l^2\)-norm, divide the wave by \(\sqrt(L)\). This is the normalization used in the dft function.

expwave(L,m,cent) makes it possible to shift the sampling points by the amount cent. Default is \(cent=0\).