A Class of Two-Dimensional Signal Having a Flat Power Spectrum and a Low Peak Factor

Takafumi HAYASHI

doi:10.1093/ietfec/e89-a.2.494

A Class of Two-Dimensional Signal Having a Flat Power Spectrum and a Low Peak Factor

Takafumi HAYASHI

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This paper presents a new generative approach for generating two-dimensional signals having both a low peak factor (crest factor) and a flat power spectrum. The flat power spectrum provides zero auto-correlation, except at the zero shift. The proposed method is a generative scheme, not a search method, and produces a two-dimensional signal of size 2(2n₁+1)²(2n₂+1)² for an arbitrary pair of positive integers n₁ and n₂ without any computer search. The peak factor of the proposed signal is equal to the peak factor of a single trigonometric function.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.2 pp.494-502

Publication Date: 2006/02/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.2.494

Type of Manuscript: PAPER

Category: Digital Signal Processing

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Takafumi HAYASHI, "A Class of Two-Dimensional Signal Having a Flat Power Spectrum and a Low Peak Factor" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 2, pp. 494-502, February 2006, doi: 10.1093/ietfec/e89-a.2.494.
Abstract: This paper presents a new generative approach for generating two-dimensional signals having both a low peak factor (crest factor) and a flat power spectrum. The flat power spectrum provides zero auto-correlation, except at the zero shift. The proposed method is a generative scheme, not a search method, and produces a two-dimensional signal of size 2(2n₁+1)²(2n₂+1)² for an arbitrary pair of positive integers n₁ and n₂ without any computer search. The peak factor of the proposed signal is equal to the peak factor of a single trigonometric function.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.2.494/_p

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@ARTICLE{e89-a_2_494,
author={Takafumi HAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Class of Two-Dimensional Signal Having a Flat Power Spectrum and a Low Peak Factor},
year={2006},
volume={E89-A},
number={2},
pages={494-502},
abstract={This paper presents a new generative approach for generating two-dimensional signals having both a low peak factor (crest factor) and a flat power spectrum. The flat power spectrum provides zero auto-correlation, except at the zero shift. The proposed method is a generative scheme, not a search method, and produces a two-dimensional signal of size 2(2n₁+1)²(2n₂+1)² for an arbitrary pair of positive integers n₁ and n₂ without any computer search. The peak factor of the proposed signal is equal to the peak factor of a single trigonometric function.},
keywords={},
doi={10.1093/ietfec/e89-a.2.494},
ISSN={1745-1337},
month={February},}

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TY - JOUR
TI - A Class of Two-Dimensional Signal Having a Flat Power Spectrum and a Low Peak Factor
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 494
EP - 502
AU - Takafumi HAYASHI
PY - 2006
DO - 10.1093/ietfec/e89-a.2.494
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2006
AB - This paper presents a new generative approach for generating two-dimensional signals having both a low peak factor (crest factor) and a flat power spectrum. The flat power spectrum provides zero auto-correlation, except at the zero shift. The proposed method is a generative scheme, not a search method, and produces a two-dimensional signal of size 2(2n₁+1)²(2n₂+1)² for an arbitrary pair of positive integers n₁ and n₂ without any computer search. The peak factor of the proposed signal is equal to the peak factor of a single trigonometric function.
ER -