Considered is the distribution of the crosscorrelation between m-sequences of length 2−1, where m = 2k, and m-sequences of shorter length 2 − 1. New pairs of m-sequences with three-valued crosscorrelation are found and the complete correlation distribution is determined. Finally, we conjecture that there are no more cases with a three-valued crosscorrelation apart from the ones proven here.

Considered is the distribution of the crosscorrelation between m-sequences of length 2−1, where m = 2k, and m-sequences of shorter length 2 − 1. New pairs of m-sequences with three-valued crosscorrelation are found and the complete correlation distribution is determined. Finally, we conjecture that there are no more cases with a three-valued crosscorrelation apart from the ones proven here.

Amplification of signals with fluctuating envelopes leads to distortion because of non-linear behavior of the Power Amplifier (PA). Digital Predistortion can counteract these non-linear effects. A crosscorrelation predistorter is a digital predistorter, based on the calculation of crosscorrelation functions using coarsely quantized signals. The crosscorrelation functions are transformed to the ...

We consider the class of Rudin-Shapiro-like polynomials, whose L norms on the complex unit circle were studied by Borwein and Mossinghoff. The polynomial f(z) = f0 + f1z + · · ·+ fdz d is identified with the sequence (f0, f1, . . . , fd) of its coefficients. From the L 4 norm of a polynomial, one can easily calculate the autocorrelation merit factor of its associated sequence, and conversely. I...

In this paper, we investigate into the crosscorrelation of a ternary m-sequence m(t) of period 3 − 1 and its decimated sequence m(dt) by d = (3 +1) 8 , where n = 2m = 4k + 2. It is shown that the magnitude of the crosscorrelation values is upper bounded by 2 √ 3n + 1.