The Synthesis of Low-Peak Cross-Correlation Sequences Using Trigonometric Function Aliasing
Summary :
This paper presents a new technique for the synthesis of sets of low-peak sequences exhibiting low peak cross correlation. The sequences also have flat power spectra and are suitable for many applications requiring such sets of uncorrelated pseudo-white-noise sources. This is a new application of the ta-sequence (trigonometric function aliasing sequence), which itself is a very new technique that uses the well-known "Reed-Solomon code" or "One coincident code" to generate these sets of low-peak-factor pseudo-white-noise exhibiting low peak cross correlation. The ta sequence method presented here provides the means for generating various sequences at the lengths required for such applications as system measurement (needing uncorrelated test signals), pseudo-noise synthesis (for spread spectrum communication), and audio signal processing for sound production (for enhancing spatial imagery in stereo signals synthesized from mono sources) and sound reproduction (for controlling unwanted interference effects in multiple-loudspeaker arrays).
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- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.8 pp.1402-1411
- Publication Date
- 1999/08/25
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- Type of Manuscript
- Special Section PAPER (Special Section on Digital Signal Processing)
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Takafumi HAYASHI, William L. MARTENS, "The Synthesis of Low-Peak Cross-Correlation Sequences Using Trigonometric Function Aliasing" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 8, pp. 1402-1411, August 1999, doi: .
Abstract: This paper presents a new technique for the synthesis of sets of low-peak sequences exhibiting low peak cross correlation. The sequences also have flat power spectra and are suitable for many applications requiring such sets of uncorrelated pseudo-white-noise sources. This is a new application of the ta-sequence (trigonometric function aliasing sequence), which itself is a very new technique that uses the well-known "Reed-Solomon code" or "One coincident code" to generate these sets of low-peak-factor pseudo-white-noise exhibiting low peak cross correlation. The ta sequence method presented here provides the means for generating various sequences at the lengths required for such applications as system measurement (needing uncorrelated test signals), pseudo-noise synthesis (for spread spectrum communication), and audio signal processing for sound production (for enhancing spatial imagery in stereo signals synthesized from mono sources) and sound reproduction (for controlling unwanted interference effects in multiple-loudspeaker arrays).
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_8_1402/_p
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@ARTICLE{e82-a_8_1402,
author={Takafumi HAYASHI, William L. MARTENS, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Synthesis of Low-Peak Cross-Correlation Sequences Using Trigonometric Function Aliasing},
year={1999},
volume={E82-A},
number={8},
pages={1402-1411},
abstract={This paper presents a new technique for the synthesis of sets of low-peak sequences exhibiting low peak cross correlation. The sequences also have flat power spectra and are suitable for many applications requiring such sets of uncorrelated pseudo-white-noise sources. This is a new application of the ta-sequence (trigonometric function aliasing sequence), which itself is a very new technique that uses the well-known "Reed-Solomon code" or "One coincident code" to generate these sets of low-peak-factor pseudo-white-noise exhibiting low peak cross correlation. The ta sequence method presented here provides the means for generating various sequences at the lengths required for such applications as system measurement (needing uncorrelated test signals), pseudo-noise synthesis (for spread spectrum communication), and audio signal processing for sound production (for enhancing spatial imagery in stereo signals synthesized from mono sources) and sound reproduction (for controlling unwanted interference effects in multiple-loudspeaker arrays).},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - The Synthesis of Low-Peak Cross-Correlation Sequences Using Trigonometric Function Aliasing
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1402
EP - 1411
AU - Takafumi HAYASHI
AU - William L. MARTENS
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 1999
AB - This paper presents a new technique for the synthesis of sets of low-peak sequences exhibiting low peak cross correlation. The sequences also have flat power spectra and are suitable for many applications requiring such sets of uncorrelated pseudo-white-noise sources. This is a new application of the ta-sequence (trigonometric function aliasing sequence), which itself is a very new technique that uses the well-known "Reed-Solomon code" or "One coincident code" to generate these sets of low-peak-factor pseudo-white-noise exhibiting low peak cross correlation. The ta sequence method presented here provides the means for generating various sequences at the lengths required for such applications as system measurement (needing uncorrelated test signals), pseudo-noise synthesis (for spread spectrum communication), and audio signal processing for sound production (for enhancing spatial imagery in stereo signals synthesized from mono sources) and sound reproduction (for controlling unwanted interference effects in multiple-loudspeaker arrays).
ER -
English
