{"title":"Noise reduction with sinusoidal signals","authors":"C. Servière, D. Baudois","doi":"10.1109/HOST.1993.264561","DOIUrl":"https://doi.org/10.1109/HOST.1993.264561","url":null,"abstract":"Three methods using higher order statistics (HOS) are proposed to solve a particular noise cancelling application: the elimination of rotating machines noises. In this case, the signal and noise reference both contain sinusoidal components of the same frequency and random parts. The inputs are necessary uncorrelated. These methods are developed in the frequency-domain with the help of first, second and third order moments of the observations. The authors first propose a probabilistic approach in order to identify the complex gain of a linear filter between reference and the additive noise. The step to the deterministic approach may be only realized under some conditions on the estimation window of first, second and third order moments. Then they compare these practical methods; they compute their quadratic error using limited temporal windows. They show that the method taking into account third order information is particularly attractive for low signal to noise ratio in the noise reference; it has a lower quadratic error than more classical methods using only second order information.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132047867","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}
{"title":"New higher-order statistics based criteria for the design of linear prediction error filters","authors":"Chong-Yung Chi, Wen-Jie Chang","doi":"10.1109/HOST.1993.264587","DOIUrl":"https://doi.org/10.1109/HOST.1993.264587","url":null,"abstract":"The authors propose two criteria for the design of (minimum-phase) linear prediction error (LPE) filters with a set of non-Gaussian measurements x(n). The first one requires a slice of Mth-order (M>or=3) cumulants of x(n) and the other requires a slice of third-order cumulants of the prediction error of x(n). They show that when x(n) is contaminated by additive Gaussian noise, the designed LPE filters based on the proposed criteria are identical to the conventional correlation-based LPE filter associated with the case that x(n) is noise-free. Moreover, as the conventional LPE filter, coefficients of the cumulant-based LPE filter associated with the first criterion can be obtained by solving a set of symmetric Toeplitz linear equations. Finally, some simulation results are provided to support the analytical results.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134268219","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}
{"title":"An efficient technique for the blind separation of complex sources","authors":"J. Cardoso, A. Souloumiac","doi":"10.1109/HOST.1993.264552","DOIUrl":"https://doi.org/10.1109/HOST.1993.264552","url":null,"abstract":"Blind identification of spatial mixtures allows an array of sensors to implement source separation when the array manifold is unknown. A family of 4th-order cumulant-based criteria for blind source separation is introduced. These criteria involve a set of cumulant matrices whose joint diagonalization is equivalent to criterion optimization. An efficient algorithm is described to this effect. Simulations on both real and synthetic signals are provided.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131843011","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}
{"title":"Blind estimation of a complex channel impulse response","authors":"S. Bellini","doi":"10.1109/HOST.1993.264581","DOIUrl":"https://doi.org/10.1109/HOST.1993.264581","url":null,"abstract":"Extends to complex channels and data an efficient technique for blind channel identification. The method, which is a variant of maximum likelihood estimation, approaches the Cramer-Rao bound for small (residual) distortion and large sample size, and is recommended as a final step of blind deconvolution. After an analysis for general probability density functions of input data, 'square-' and 'round-shaped' PDFs, and PSK constellations used in digital transmission systems are considered.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124139760","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}
{"title":"Identification of nonlinear channels in digital transmission systems","authors":"Ching-Hsiang Tseng, E. Powers","doi":"10.1109/HOST.1993.264600","DOIUrl":"https://doi.org/10.1109/HOST.1993.264600","url":null,"abstract":"Nonlinearity in digital transmission channels has long been an important problem in digital communications. Being able to identify the nonlinear characteristics of the channels can help in the design of the nonlinear equalizer. The authors consider identification of PSK and QAM nonlinear channels which can be expressed as a third-order complex-valued Volterra series. Based on higher-order moment analysis, they derive a simple algorithm to identify the Volterra kernels. In addition, it is shown that, for properly designed input sequences, the estimate obtained by the proposed method is equal to the optimum minimum mean square error solution.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122615041","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}
{"title":"Transient detection, higher-order time-frequency distributions and the entropy","authors":"P. Amblard, J. Lacoume, J. Brossier","doi":"10.1109/HOST.1993.264554","DOIUrl":"https://doi.org/10.1109/HOST.1993.264554","url":null,"abstract":"The authors deal with the use of higher-order time-frequency distributions for the detection of transient signals. They show that a recent method is linked to those objects and also related to information measures. They then propose an heuristic method to detect transients. This method uses a new adaptive estimator of the fourth-order cumulant that they study in details, before presenting simulations that validate the detection method.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125420542","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}
{"title":"Classification of clutter using the bispectrum","authors":"I. Jouny","doi":"10.1109/HOST.1993.264558","DOIUrl":"https://doi.org/10.1109/HOST.1993.264558","url":null,"abstract":"Three statistically independent time series associated with three forms of clutter, namely ground, weather and bird, and sea clutter are being classified based on their bicoherences. The key feature used for identifying clutter is the skewness of each clutter distribution. The performance of the proposed bispectral based classifier is compared with that of spectral based classifiers. Scenarios entailing different combinations of clutter are also being examined under the assumption that all clutter scattering features are corrupted with additive white Gaussian noise.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126891928","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}
{"title":"Comparison of higher-order and cyclic approaches for estimating random amplitude modulated harmonics","authors":"G. Zhou, G. Giannakis","doi":"10.1109/HOST.1993.264562","DOIUrl":"https://doi.org/10.1109/HOST.1993.264562","url":null,"abstract":"To estimate harmonics observed in random multiplicative and additive noise, algorithms relying upon second- or higher-order statistics have been derived after stationarizing the available cyclostationary and nonGaussian time series. Recently developed cyclic approaches exploit cyclostationarity and rely upon the cyclic mean, cyclic covariance, or, higher-order cyclic cumulants in order to: (i) detect and estimate frequencies of mono- and multicomponent random amplitude modulated harmonics, and (ii) characterize the multiplicative processes. Comparison based on estimator variances and simulations illustrate that cyclic approaches surmount existing methods in SNR gains and resolution and obviate restrictions on the bandwidth and distributions of the additive and multiplicative noise.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123390052","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}