WAVELET SPECTROGRAM OF NOISY SIGNALS

被引：10
作者：
QIU, LJ
ER, MH
机构：
[1] School of Electrical and Electronic Engineering, Nanyang Technological University, 2263, Nanyang Avenue
来源：
INTERNATIONAL JOURNAL OF ELECTRONICS | 1995年 / 79卷 / 05期
关键词：
D O I：
10.1080/00207219508926302
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The wavelet transform is of interest for analysing non-stationary signals. The squared modulus of the wavelet transform leads to the wavelet spectrogram or scalogram. When signals are embedded in additive noise, it is important to study the estimation accuracy in terms of bias and variance. The mean and variance statistical properties of the wavelet spectrogram of a signal embedded in additive gaussian white noise are derived in this paper. Examples and simulation results are also presented.
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页码：665 / 677
页数：13
相关论文
共 7 条
[1]  
Caldern A.-P., 1964, STUDIA MATH, V24, P113
[2]   THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].
DAUBECHIES, I .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (05) :961-1005
[3]   A COMPARISON OF THE EXISTENCE OF CROSS TERMS IN THE WIGNER DISTRIBUTION AND THE SQUARED MAGNITUDE OF THE WAVELET TRANSFORM AND THE SHORT-TIME FOURIER-TRANSFORM [J].
KADAMBE, S ;
BOUDREAUXBARTELS, GF .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1992, 40 (10) :2498-2517
[4]   A THEORY FOR MULTIRESOLUTION SIGNAL DECOMPOSITION - THE WAVELET REPRESENTATION [J].
MALLAT, SG .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1989, 11 (07) :674-693
[5]  
Noonan J. P., 1993, Digital Signal Processing, V3, P89, DOI 10.1006/dspr.1993.1013
[6]   TIME-SCALE ENERGY-DISTRIBUTIONS - A GENERAL-CLASS EXTENDING WAVELET TRANSFORMS [J].
RIOUL, O ;
FLANDRIN, P .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1992, 40 (07) :1746-1757
[7]   Wavelets and signal processing [J].
Rioul, Olivier ;
Vetterli, Martin .
IEEE SIGNAL PROCESSING MAGAZINE, 1991, 8 (04) :14-38
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