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Correlation Analyses of Linearly Processed Pseudo-Random Sequences

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2 Author(s)
S. Gupta ; Motorola, Inc., Scottsdale, AZ, USA ; J. Painter

This paper develops a generalized technique for exact determination of time and frequency domain behavior of the crosscorrelation function between input and any point of interest in a linear system, driven by a periodic pseudo-random binary waveform. The output autocorrelation function is also treated by a variation of the scheme. The technique is conceptually simple and offers exact solutions in closed form. The solutions are in such a form as to make possible, by inspection, the determination of when sequence periodicity may and may not be neglected. Sufficient examples are given to clarify the theory.

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IEEE Transactions on Communication Technology  (Volume:14 ,  Issue: 6 )