Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246890
A. Kumar, Y. Bar-Shalom
This paper analyzes the effect of source separation on the estimation accuracy of the TDOA of multiple exponentially autocorrelated signals at two sensors in white noise. The analysis is carried out for uncorrelated signals (separate sources) as well as unity correlated signals, as in multipath propagation from a single source. The estimates are obtained from cross-correlations based on moving average samples of the noisy signals from the two sensors. The effect of the source separation on the degradation ratio is evaluated and compared with the optimal processor. The theoretical performance is verified through simulations for different SNRs and time-bandwidth products. Another advantage of the technique is that it avoids ambiguities in the cross-correlation.<>
{"title":"Time-domain analysis of cross-correlation for multitarget/multipath time delay estimation","authors":"A. Kumar, Y. Bar-Shalom","doi":"10.1109/SSAP.1992.246890","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246890","url":null,"abstract":"This paper analyzes the effect of source separation on the estimation accuracy of the TDOA of multiple exponentially autocorrelated signals at two sensors in white noise. The analysis is carried out for uncorrelated signals (separate sources) as well as unity correlated signals, as in multipath propagation from a single source. The estimates are obtained from cross-correlations based on moving average samples of the noisy signals from the two sensors. The effect of the source separation on the degradation ratio is evaluated and compared with the optimal processor. The theoretical performance is verified through simulations for different SNRs and time-bandwidth products. Another advantage of the technique is that it avoids ambiguities in the cross-correlation.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"2004 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127332374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246798
W. Radich, K. Buckley
Analytical expressions for MUSIC DOA estimator variance and bias are used to study the effects of beam-space preprocessor matrix characteristics on beam-space MUSIC. It is shown that simultaneously steering to a desired sector while nulling another via the beamformer matrix in general degrades variance performance with respect to the performance achievable in beam-space. This the degradation is ascribed to the fact that as the null sector approaches the source sector of interest, the beamformer matrix range no longer contains both the span of the array response vectors within the source sector and their derivatives.<>
{"title":"Analysis of effect of non-ideal beam-space preprocessors on eigenspace DOA estimators","authors":"W. Radich, K. Buckley","doi":"10.1109/SSAP.1992.246798","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246798","url":null,"abstract":"Analytical expressions for MUSIC DOA estimator variance and bias are used to study the effects of beam-space preprocessor matrix characteristics on beam-space MUSIC. It is shown that simultaneously steering to a desired sector while nulling another via the beamformer matrix in general degrades variance performance with respect to the performance achievable in beam-space. This the degradation is ascribed to the fact that as the null sector approaches the source sector of interest, the beamformer matrix range no longer contains both the span of the array response vectors within the source sector and their derivatives.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123756437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246834
S. Haykin
This paper presents a tutorial review of chaotic signal processing, emphasizing its nonlinear dynamical roots, important characteristics, and potential areas of application.<>
本文介绍了混沌信号处理的教学综述，强调了其非线性动力学根源、重要特征和潜在的应用领域。
{"title":"Chaotic signal processing: new research directions and novel applications","authors":"S. Haykin","doi":"10.1109/SSAP.1992.246834","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246834","url":null,"abstract":"This paper presents a tutorial review of chaotic signal processing, emphasizing its nonlinear dynamical roots, important characteristics, and potential areas of application.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114958317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246839
S. Kadambe
The short time Fourier transform (STFT), a time-frequency representation, is linear by definition. However, the magnitude squared distribution of the STFT (the spectrogram) which signal processors often use to represent a signal is non-linear by definition. Therefore, in general, there exist cross terms in the spectrogram of a multi-component signal. The existence of these depends on (a) the nature of a multi-component signal, (b) the choice of the STFT analysis window and (c) the window length selection. This paper studies the effect of (i) the choice of the STFT analysis window, and (ii) the nature of signals to be analyzed, on the cross terms, in detail with representative examples.<>
{"title":"On the window selection and the cross terms that exist in the magnitude squared distribution of the short time Fourier transform","authors":"S. Kadambe","doi":"10.1109/SSAP.1992.246839","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246839","url":null,"abstract":"The short time Fourier transform (STFT), a time-frequency representation, is linear by definition. However, the magnitude squared distribution of the STFT (the spectrogram) which signal processors often use to represent a signal is non-linear by definition. Therefore, in general, there exist cross terms in the spectrogram of a multi-component signal. The existence of these depends on (a) the nature of a multi-component signal, (b) the choice of the STFT analysis window and (c) the window length selection. This paper studies the effect of (i) the choice of the STFT analysis window, and (ii) the nature of signals to be analyzed, on the cross terms, in detail with representative examples.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115054174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246836
L. Cohen
The author develops the relationship between time, frequency, and scale, and their respective operators and representations. A scale operator is proposed and its eigenfunctions are obtained. This leads to the scale transform. The convolution and correlation theorems for scale are developed. The concepts of filtering and linear shift-invariant systems are formulated for scale.<>
{"title":"Scale, frequency, time, and the scale transform","authors":"L. Cohen","doi":"10.1109/SSAP.1992.246836","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246836","url":null,"abstract":"The author develops the relationship between time, frequency, and scale, and their respective operators and representations. A scale operator is proposed and its eigenfunctions are obtained. This leads to the scale transform. The convolution and correlation theorems for scale are developed. The concepts of filtering and linear shift-invariant systems are formulated for scale.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122877599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246841
A. Petropulu
A time-frequency (T-F) representation is defined which forces the contribution of the auto terms to appear at fixed positions on the T-F plane, while the cross terms appear at positions that vary depending on the particular slice. The choice of the moment slice is not unique as long as it satisfies certain conditions. Considering different moment slices yields different T-F representations. Summing the distributions corresponding to different moment slices, causes only the parts due to the auto terms to add up, since their positions depend only on the signal parameters.<>
{"title":"Detection of multiple chirp signals based on a slice of the instantaneous higher-order moments","authors":"A. Petropulu","doi":"10.1109/SSAP.1992.246841","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246841","url":null,"abstract":"A time-frequency (T-F) representation is defined which forces the contribution of the auto terms to appear at fixed positions on the T-F plane, while the cross terms appear at positions that vary depending on the particular slice. The choice of the moment slice is not unique as long as it satisfies certain conditions. Considering different moment slices yields different T-F representations. Summing the distributions corresponding to different moment slices, causes only the parts due to the auto terms to add up, since their positions depend only on the signal parameters.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114158895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246821
B. Friedlander, B. Porat
Detection of a non-Gaussian signal in additive Gaussian noise is assumed to be done in two steps. A selected set of sample cumulants and/or moments of the data are computed; next a detection statistic based on these sample moments/cumulants is evaluated. The paper outlines the asymptotic performance analysis of this detector for a fairly general class of signal and noise models. A simple example is worked out in detail.<>
{"title":"On the performance of cumulant-based detection of nonGaussian signals","authors":"B. Friedlander, B. Porat","doi":"10.1109/SSAP.1992.246821","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246821","url":null,"abstract":"Detection of a non-Gaussian signal in additive Gaussian noise is assumed to be done in two steps. A selected set of sample cumulants and/or moments of the data are computed; next a detection statistic based on these sample moments/cumulants is evaluated. The paper outlines the asymptotic performance analysis of this detector for a fairly general class of signal and noise models. A simple example is worked out in detail.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122061076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246870
R. Kumaresan, A. G. Sadasiv, C. S. Ramalingam, J. Kaiser
The authors have extended the Kaiser-Teager algorithm for separating the contributions of the amplitude modulation and frequency modulation of a single sinusoid to a signal consisting of multiple components. An instantaneous nonlinear operator turns out to be the determinant of a Toeplitz matrix formed with the signal samples. Because of its instantaneously adaptive nature, this algorithm can be used to track parameter variations in the signal components, provided these variations are not too rapid. This is demonstrated using a synthetic signal containing two AM-FM components and a speech signal. The method's relationship to Prony's method is pointed out.<>
{"title":"Instantaneous non-linear operators for tracking multicomponent signal parameters","authors":"R. Kumaresan, A. G. Sadasiv, C. S. Ramalingam, J. Kaiser","doi":"10.1109/SSAP.1992.246870","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246870","url":null,"abstract":"The authors have extended the Kaiser-Teager algorithm for separating the contributions of the amplitude modulation and frequency modulation of a single sinusoid to a signal consisting of multiple components. An instantaneous nonlinear operator turns out to be the determinant of a Toeplitz matrix formed with the signal samples. Because of its instantaneously adaptive nature, this algorithm can be used to track parameter variations in the signal components, provided these variations are not too rapid. This is demonstrated using a synthetic signal containing two AM-FM components and a speech signal. The method's relationship to Prony's method is pointed out.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128963780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246822
José A. R. Fonollosa, J. Mendel
The covariances of the third- and fourth-order sample cumulants of stationary processes are derived. The resulting expressions are used to obtain the analytical performance of such methods as a function of the coefficients and statistics of the input sequence. The lower bound in the variance is compared for different sets of sample statistics to provide insight about the information carried by each sample statistic. The effect of the presence of noise on the accuracy of the estimates is studied analytically. The results are illustrated graphically with plots of the variance of the estimates as a function of the parameters or the signal-to-noise ratio. Monte Carlo simulations are included for comparison with the predicted analytical performance.<>
{"title":"Analytic performance evaluation of cumulant-based FIR system identification methods","authors":"José A. R. Fonollosa, J. Mendel","doi":"10.1109/SSAP.1992.246822","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246822","url":null,"abstract":"The covariances of the third- and fourth-order sample cumulants of stationary processes are derived. The resulting expressions are used to obtain the analytical performance of such methods as a function of the coefficients and statistics of the input sequence. The lower bound in the variance is compared for different sets of sample statistics to provide insight about the information carried by each sample statistic. The effect of the presence of noise on the accuracy of the estimates is studied analytically. The results are illustrated graphically with plots of the variance of the estimates as a function of the parameters or the signal-to-noise ratio. Monte Carlo simulations are included for comparison with the predicted analytical performance.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121963386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1992-10-07DOI: 10.1109/SSAP.1992.246843
V.J. Samar, M. Raghuveer, K. Swartz, S. Rosenberg, T. Chaiyaboonthanit
Transient time-voltage neural waveforms recorded at the scalp are elicited by discrete sensory or perceptual events and thought to be composed of fundamental waveform components. A new definition is proposed of ERP components as 'wavepackets', which are oscillating waveforms that extend throughout the ERP. The wavelet transform is used to extract orthogonal wavepacket components. Each component is restricted to its own frequency band, and may strongly influence the ERPs over local time regions. Unilateral visual field stimulation data from human subjects show that wavepacket components reveal visual processing events earlier than direct amplitude measurements on the ERPs. Wavepackets provide new insights into ERP morphology and its relationship to the timecourse of neural processes.<>
{"title":"Wavelet decomposition of event related potentials: toward the definition of biologically natural components","authors":"V.J. Samar, M. Raghuveer, K. Swartz, S. Rosenberg, T. Chaiyaboonthanit","doi":"10.1109/SSAP.1992.246843","DOIUrl":"https://doi.org/10.1109/SSAP.1992.246843","url":null,"abstract":"Transient time-voltage neural waveforms recorded at the scalp are elicited by discrete sensory or perceptual events and thought to be composed of fundamental waveform components. A new definition is proposed of ERP components as 'wavepackets', which are oscillating waveforms that extend throughout the ERP. The wavelet transform is used to extract orthogonal wavepacket components. Each component is restricted to its own frequency band, and may strongly influence the ERPs over local time regions. Unilateral visual field stimulation data from human subjects show that wavepacket components reveal visual processing events earlier than direct amplitude measurements on the ERPs. Wavepackets provide new insights into ERP morphology and its relationship to the timecourse of neural processes.<<ETX>>","PeriodicalId":309407,"journal":{"name":"[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132043280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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