Spectral analysis of discrete signals generated by multiplicative and additive iterative procedures

T. Alieva; A.M. Barbé; M.J. Bastiaans

doi:10.1109/ICASSP.1999.756295

Spectral analysis of discrete signals generated by multiplicative and additive iterative procedures

T. Alieva, A.M. Barbé, M.J. Bastiaans

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

2 Citations (Scopus)

Abstract

We consider specific features of the discrete Fourier transform for signals constructed through multiplicative and additive iterative procedures. It is shown that - in spite of the rather different structure of multiplicative and additive signals - the Fourier transforms of both types of signals exhibit the property of self-affinity. The power spectra of additive signals produced by different generating vectors have similar forms and can be divided into similar branches. The number of branches depends on the generation level and the symmetry of the power spectrum of the generating vector.

Original language	English
Title of host publication	ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ
Pages	1605-1608
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.1999.756295
Publication status	Published - 1999
Event	1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999) - Phoenix, United States Duration: 15 Mar 1999 → 19 Mar 1999

Conference

Conference	1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999)
Abbreviated title	ICASSP 1999
Country	United States
City	Phoenix
Period	15/03/99 → 19/03/99

Access to Document

10.1109/ICASSP.1999.756295

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title = "Spectral analysis of discrete signals generated by multiplicative and additive iterative procedures",

abstract = "We consider specific features of the discrete Fourier transform for signals constructed through multiplicative and additive iterative procedures. It is shown that - in spite of the rather different structure of multiplicative and additive signals - the Fourier transforms of both types of signals exhibit the property of self-affinity. The power spectra of additive signals produced by different generating vectors have similar forms and can be divided into similar branches. The number of branches depends on the generation level and the symmetry of the power spectrum of the generating vector.",

author = "T. Alieva and A.M. Barb{\'e} and M.J. Bastiaans",

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doi = "10.1109/ICASSP.1999.756295",

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booktitle = "ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ",

note = "1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999), ICASSP 1999 ; Conference date: 15-03-1999 Through 19-03-1999",

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Alieva, T, Barbé, AM & Bastiaans, MJ 1999, Spectral analysis of discrete signals generated by multiplicative and additive iterative procedures. in ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ. vol. 3, pp. 1605-1608, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999), Phoenix, United States, 15/03/99. https://doi.org/10.1109/ICASSP.1999.756295

Spectral analysis of discrete signals generated by multiplicative and additive iterative procedures. / Alieva, T.; Barbé, A.M.; Bastiaans, M.J.

ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ. Vol. 3 1999. p. 1605-1608.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

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AU - Barbé, A.M.

AU - Bastiaans, M.J.

PY - 1999

Y1 - 1999

N2 - We consider specific features of the discrete Fourier transform for signals constructed through multiplicative and additive iterative procedures. It is shown that - in spite of the rather different structure of multiplicative and additive signals - the Fourier transforms of both types of signals exhibit the property of self-affinity. The power spectra of additive signals produced by different generating vectors have similar forms and can be divided into similar branches. The number of branches depends on the generation level and the symmetry of the power spectrum of the generating vector.

AB - We consider specific features of the discrete Fourier transform for signals constructed through multiplicative and additive iterative procedures. It is shown that - in spite of the rather different structure of multiplicative and additive signals - the Fourier transforms of both types of signals exhibit the property of self-affinity. The power spectra of additive signals produced by different generating vectors have similar forms and can be divided into similar branches. The number of branches depends on the generation level and the symmetry of the power spectrum of the generating vector.

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DO - 10.1109/ICASSP.1999.756295

M3 - Conference contribution

VL - 3

SP - 1605

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BT - ICASSP 99, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ

T2 - 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1999)

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