DocumentCode :
1016399
Title :
A signal-dependent time-frequency representation: fast algorithm for optimal kernel design
Author :
Baraniuk, Richard G. ; Jones, Douglas L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Volume :
42
Issue :
1
fYear :
1994
fDate :
1/1/1994 12:00:00 AM
Firstpage :
134
Lastpage :
146
Abstract :
A time-frequency representation based on an optimal, signal-dependent kernel has been previously been proposed in an attempt to overcome one of the primary limitations of bilinear time-frequency distributions: that the best kernel and distribution depend on the signal to be analyzed. The optimization formulation for the signal-dependent kernel results in a linear program with a unique feature: a tree structure that summarizes a set of constraints on the kernel. The authors present a fast algorithm based on sorting to solve a special class of linear programs that includes the problem of interest. For a kernel with Q variables, the running time of the algorithm is O(Q log Q), which is several orders of magnitude less than any other known method for solving this class of linear program. This efficiency enables the computation of the signal-dependent, optimal-kernel time-frequency representation at a cost that is on the same order as a fixed-kernel distribution. An important property of the optimal kernel is that it takes on essentially only the values of 1 and 0
Keywords :
linear programming; linear systems; signal processing; time-frequency analysis; tree data structures; bilinear time-frequency distributions; fast algorithm; linear program; optimal kernel design; optimization formulation; running time; signal-dependent time-frequency representation; sorting; tree structure; Algorithm design and analysis; Constraint optimization; Cost function; Distributed computing; Kernel; Signal analysis; Signal design; Sorting; Time frequency analysis; Tree data structures;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.258128
Filename :
258128
Link To Document :
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