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The Synthesis of Low-Peak Orthogonal-Base-Set Sequences Using Trigonometric Function Aliasing

Takafumi HAYASHI, William L. MARTENS

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Summary :

This paper presents a new technique for the synthesis of orthogonal-base-set sequences suitable for applications requiring sets of uncorrelated pseudo-white-noise sources. The synthesized sequences (vectors) are orthogonal to each other, and each sequence also has a flat power spectrum and low peak factor. In order to construct the orthogonal-base-set sequences, the new application of ta-sequence (trigonometric function aliasing sequence) introduced in this paper uses Latin-squares and Walsh-Hadamard sequences. The ta-sequence itself is a very new concept, and the method presented here provides the means for generating various orthogonal-base-set sequences at sizes required for such applications as system measurement (needing uncorrelated test signals), pseudo noise synthesis for spread spectrum communication, and audio signal processing (needing synthesis of stereo or multichannel signals from mono sources).

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.8 pp.1513-1522
Publication Date
2000/08/25
Publicized
Online ISSN
DOI
Type of Manuscript
Special Section PAPER (Special Section on Digital Signal Processing)
Category
Theory of Signals

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