A linearly constrained minimization approach for time-frequency kernel design.

This paper introduces a new approach for time-frequency distribution kernel design. In this approach, the desired time-frequency properties are obtained as a solution of linearly constrained minimization problem. The problem is presented in a matrix form in which the desired t-f linear constraints constitute a constraint matrix and the time-frequency kernel is one dimensional. This formulation permits a closed form solution, similar to that encountered in beam forming, where the Quiescent pattern corresponds to the Born-Jordan kernel. The constraint matrix can be augmented by other point and derivative constraints which extend the solution space to include kernels with various characteristics.

Main Author: Amin, Moeness G.
Other Authors: Carroll, James F.
Format: Villanova Faculty Authorship
Language: English
Published: 1993
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:173054
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dc_source_str_mv Proceedings of the Asilomar Conference on Circuits, Systems, and Computers, Pacific Grove, CA, November 1993.
author Amin, Moeness G.
author_facet_str_mv Amin, Moeness G.
Carroll, James F.
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Carroll, James F.
author_s Amin, Moeness G.
spellingShingle Amin, Moeness G.
A linearly constrained minimization approach for time-frequency kernel design.
author-letter Amin, Moeness G.
author_sort_str Amin, Moeness G.
author2 Carroll, James F.
author2Str Carroll, James F.
dc_title_str A linearly constrained minimization approach for time-frequency kernel design.
title A linearly constrained minimization approach for time-frequency kernel design.
title_short A linearly constrained minimization approach for time-frequency kernel design.
title_full A linearly constrained minimization approach for time-frequency kernel design.
title_fullStr A linearly constrained minimization approach for time-frequency kernel design.
title_full_unstemmed A linearly constrained minimization approach for time-frequency kernel design.
collection_title_sort_str linearly constrained minimization approach for time-frequency kernel design.
title_sort linearly constrained minimization approach for time-frequency kernel design.
format Villanova Faculty Authorship
description This paper introduces a new approach for time-frequency distribution kernel design. In this approach, the desired time-frequency properties are obtained as a solution of linearly constrained minimization problem. The problem is presented in a matrix form in which the desired t-f linear constraints constitute a constraint matrix and the time-frequency kernel is one dimensional. This formulation permits a closed form solution, similar to that encountered in beam forming, where the Quiescent pattern corresponds to the Born-Jordan kernel. The constraint matrix can be augmented by other point and derivative constraints which extend the solution space to include kernels with various characteristics.
publishDate 1993
normalized_sort_date 1993-01-01T00:00:00Z
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dc.title A linearly constrained minimization approach for time-frequency kernel design.
dc.creator Amin, Moeness G.
Carroll, James F.
dc.description This paper introduces a new approach for time-frequency distribution kernel design. In this approach, the desired time-frequency properties are obtained as a solution of linearly constrained minimization problem. The problem is presented in a matrix form in which the desired t-f linear constraints constitute a constraint matrix and the time-frequency kernel is one dimensional. This formulation permits a closed form solution, similar to that encountered in beam forming, where the Quiescent pattern corresponds to the Born-Jordan kernel. The constraint matrix can be augmented by other point and derivative constraints which extend the solution space to include kernels with various characteristics.
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