Maximum Length Ternary Signal Design Based on Nyquist Point Mapping

M.F.L. Foo, A.H. Tan, K.P. Basu

Research output: Contribution to journalArticle

Abstract

The design of ternary pseudo random maximum length signals suitable for system identification under noisy conditions is considered, where the power content in the specified harmonics should be high. Signal levels conversion for mapping a maximum length sequence in the Galois field into three signal levels is proposed such that the primitive version of the signal has only one nonzero harmonic at the Nyquist frequency. If the primitive signal is subsequently used in the design of a maximum length signal of a larger period, this will result in the latter having high power concentrated at the nonzero harmonics.
Original languageEnglish
Pages (from-to)1127-1132
Number of pages6
JournalIFAC papers online
Volume39
Issue number1
DOIs
Publication statusPublished - 2006

Fingerprint

Identification (control systems)

Bibliographical note

14th IFAC Symposium on Identification and System Parameter Estimation

Keywords

  • Bilinear systems
  • frequency spectrum
  • identification
  • input signals
  • model approximation
  • pseudo random sequences

Cite this

Maximum Length Ternary Signal Design Based on Nyquist Point Mapping. / Foo, M.F.L.; Tan, A.H.; Basu, K.P.

In: IFAC papers online, Vol. 39, No. 1, 2006, p. 1127-1132.

Research output: Contribution to journalArticle

Foo, M.F.L. ; Tan, A.H. ; Basu, K.P. / Maximum Length Ternary Signal Design Based on Nyquist Point Mapping. In: IFAC papers online. 2006 ; Vol. 39, No. 1. pp. 1127-1132.
@article{2f2a4475ee0a4331a84ac8ec8039f255,
title = "Maximum Length Ternary Signal Design Based on Nyquist Point Mapping",
abstract = "The design of ternary pseudo random maximum length signals suitable for system identification under noisy conditions is considered, where the power content in the specified harmonics should be high. Signal levels conversion for mapping a maximum length sequence in the Galois field into three signal levels is proposed such that the primitive version of the signal has only one nonzero harmonic at the Nyquist frequency. If the primitive signal is subsequently used in the design of a maximum length signal of a larger period, this will result in the latter having high power concentrated at the nonzero harmonics.",
keywords = "Bilinear systems, frequency spectrum, identification, input signals, model approximation, pseudo random sequences",
author = "M.F.L. Foo and A.H. Tan and K.P. Basu",
note = "14th IFAC Symposium on Identification and System Parameter Estimation",
year = "2006",
doi = "10.3182/20060329-3-AU-2901.00181",
language = "English",
volume = "39",
pages = "1127--1132",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "IFAC Secretariat",
number = "1",

}

TY - JOUR

T1 - Maximum Length Ternary Signal Design Based on Nyquist Point Mapping

AU - Foo, M.F.L.

AU - Tan, A.H.

AU - Basu, K.P.

N1 - 14th IFAC Symposium on Identification and System Parameter Estimation

PY - 2006

Y1 - 2006

N2 - The design of ternary pseudo random maximum length signals suitable for system identification under noisy conditions is considered, where the power content in the specified harmonics should be high. Signal levels conversion for mapping a maximum length sequence in the Galois field into three signal levels is proposed such that the primitive version of the signal has only one nonzero harmonic at the Nyquist frequency. If the primitive signal is subsequently used in the design of a maximum length signal of a larger period, this will result in the latter having high power concentrated at the nonzero harmonics.

AB - The design of ternary pseudo random maximum length signals suitable for system identification under noisy conditions is considered, where the power content in the specified harmonics should be high. Signal levels conversion for mapping a maximum length sequence in the Galois field into three signal levels is proposed such that the primitive version of the signal has only one nonzero harmonic at the Nyquist frequency. If the primitive signal is subsequently used in the design of a maximum length signal of a larger period, this will result in the latter having high power concentrated at the nonzero harmonics.

KW - Bilinear systems

KW - frequency spectrum

KW - identification

KW - input signals

KW - model approximation

KW - pseudo random sequences

U2 - 10.3182/20060329-3-AU-2901.00181

DO - 10.3182/20060329-3-AU-2901.00181

M3 - Article

VL - 39

SP - 1127

EP - 1132

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 1

ER -