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PRECT - Periodic rectangle

Usage

f=prect(L,n);

Description

psinc(L,n) computes the periodic rectangle (or square) function of length L supported on n samples. The dft of the periodic rectangle function in the periodic sinc function, psinc.

  • If n is odd, the output will be supported on exactly n samples centered around the first sample.
  • If n is even, the output will be supported on exactly n+1 samples centered around the first sample. The function value on the two samples on the edge of the function will have half the magnitude of the other samples.

Examples:

This figure displays an odd length periodic rectangle:

stem(prect(30,11));
ylim([-.2 1.2]);

This figure displays an even length periodic rectangle. Notice the border points:

stem(prect(30,12));
ylim([-.2 1.2]);