A Wavelet Transform Approach To The Design Of Complementary Sequences For Communications
A wavelet transform approach to the design of complementary sequences for communications
Todor Cooklev, Keh-Gang Lu
School of Engineering, San Francisco State University, San Francisco CA 94132, USA
Abstract: In this paper we study the relationship between filter banks and complementary sequences. Non-periodic and periodic complementary sequences are identified to be special cases of non-periodic and periodic (or cyclic) wavelet transforms. These wavelet transforms are non-regular. A systematic approach for the generation of periodic symmetric and anti-symmetric sequences is advanced. The novel approach is based on analytic formulae. A systematic approach for the generation of all Golay sequences of a given length is also described.
Keywords: Correlation, Discrete Fourier transforms, Orthogonal functions, Sequences, Transforms, Wavelet transforms.
1. Introduction
There is a wealth of literature on the theory and design of pseudo-random (or pseudo-noise) sequences......
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Approximate Word Count: 9811
Approximate Pages: 40 (250 words per double-spaced page)
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