Design of High-Resolution Quadratic TFDs with Separable Kernels

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Design of High-Resolution Quadratic TFDs with Separable Kernels

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dc.contributor.author Boashash, B
dc.contributor.author Putland, G.R.
dc.date.accessioned 2012-03-04T19:29:53Z
dc.date.available 2012-03-04T19:29:53Z
dc.date.issued 2003
dc.identifier.citation Time-Frequency Signal Analysis & Processing: A Comprehensive Reference, Elsevier Science, Oxford, 2003, Chapter 5, Article 5.7, pages 213-222 en_US
dc.identifier.isbn 0080443354
dc.identifier.isbn 9780080443355
dc.identifier.uri http://hdl.handle.net/10576/10791
dc.description This Article presents the use of separable kernel TFDs for separate control of the frequency-smoothing and time-smoothing of the WVD as the lag-dependent factor causes a convolution in the fre- quency direction in the (t, f) plane, while the Doppler-dependent factor causes a convolution in the time direction. This separable-kernel approach the construction of high-resolution quadratic TFDs using the classical smoothing functions commonly encountered in digital signal processing and spectral analysis. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated). en_US
dc.description.abstract A separable kernel gives separate control of the frequency-smoothing and time- smoothing of the WVD: the lag-dependent factor causes a convolution in the fre- quency direction in the (t, f) plane, while the Doppler-dependent factor causes a convolution in the time direction. A Doppler-independent (DI) kernel smoothes the WVD in the frequency direction only, reducing the inner artifacts and preserving the time marginal. A lag-independent (LI) kernel smoothes the WVD in the time direction only, reducing the cross-terms and preserving the frequency marginal. For an LI kernel, slower variations in component frequencies allow easier sup- pression of cross-terms and higher frequency resolution in the TFD; such kernels should therefore be considered for representing multicomponent signals with slowly- varying instantaneous frequencies. For a multicomponent signal with at least one highly nonlinear IF law, a lag-dependent factor is also needed to suppress the inner artifacts. The separable-kernel approach allows a complete understanding and appraisal of the properties and behavior of the smoothed WVD [2], the B-distribution [5] and the modified B-distribution [3,4]. It also enables the construction of high-resolution quadratic TFDs using the classical smoothing functions commonly encountered in digital signal processing and spectral analysis. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Reduced-Interference-TFD en_US
dc.subject Quadratic TFD en_US
dc.subject time-frequency analysis en_US
dc.subject Doppler-Lag domain en_US
dc.subject lag-independent kernel en_US
dc.subject doppler-independent kernel en_US
dc.subject separable kernel TFD en_US
dc.subject B distribution en_US
dc.subject modified B distribution en_US
dc.subject MBD en_US
dc.subject Hanning-Hamming-TFD en_US
dc.subject multicomponent signals en_US
dc.subject WVD en_US
dc.subject Wigner-Ville Distribution en_US
dc.subject inner artifacts en_US
dc.subject outer artifacts en_US
dc.title Design of High-Resolution Quadratic TFDs with Separable Kernels en_US
dc.type Book chapter en_US

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