This paper describes the design of a digital cross correlator and its application in determining the impulse response in linear systems. The output of the cross correlator, which correlates the inputâ€¦ (More)

Radixâ€”2 fast Fourier transform programs of the Gentleman-Sande type leave the transformed array in a scrambled order of frequencies. Unscrambling is accomplished by moving each element from itsâ€¦ (More)

This correspondence develops efficient fast Fourier transform (FFT) programs to transform arrays of dimension N, where N can be written as a power of two possibly multiplied by arbitrary factors. Twoâ€¦ (More)

The output of a system is often expressed as a sequence of unary and/or binary operations on the input. Analysis or design considerations may require manipulation of the sequence of operators toâ€¦ (More)

This paper describes a general systematic procedure for the convolution of functions that are piecewise polynomial. The procedure can be implemented by hand using a simple table format or programmedâ€¦ (More)

A general systematic procedure is described for computing the Fourier transform and the ambiguity function of waveforms that are piecewise polynomial. The procedure can be implemented by hand orâ€¦ (More)