Algorithms for discrete time- frequency distributions

O'Toole, John, Mesbah, Mostefa and Boashash, Boualem (2008) Algorithms for discrete time- frequency distributions. WSEAS Transactions on Signal Processing, 4 5: 320-329.


Author O'Toole, John
Mesbah, Mostefa
Boashash, Boualem
Title Algorithms for discrete time- frequency distributions
Journal name WSEAS Transactions on Signal Processing   Check publisher's open access policy
ISSN 1790-5022
Publication date 2008-01-01
Sub-type Article (original research)
Open Access Status Not Open Access
Volume 4
Issue 5
Start page 320
End page 329
Total pages 10
Editor Mikhael Wasfy
Place of publication Greece
Publisher WSEAS - The World Scientific and Engineering Academy and Society
Language eng
Abstract Time–frequency distributions (TFDs) are computationally costly to compute. We address this problem by presenting algorithms to reduce the computational load for computing TFDs. Before we can compute the TFDs, however, we first must define a discrete version of the TFD. Defining a discrete TFD (DTFD) is, unfortunately, not a straightforward process—for example, a popular DTFD definition does not satisfy all desirable mathematical properties that are inherent to the continuous TFD. In this paper, we define a new DTFD definition, the DTFDC. This definition is closely related to another DTFD definition which we recently proposed, the DTFD-B. The DTFD-B and DTFD-C satisfy all desirable properties. We provide algorithms for both these definitions and show that the DTFD-C requires only 50% of the computational complexity and memory required to compute the DTFDB.
Keyword Time-frequency analysis
Discrete time- frequency distributions (DFTD)
Discrete Wigner-Ville distribution (DWVD)
Analytic signal
Aliasing
Convolution
Computational complexity
Discrete-time signal processing (DSP)
Q-Index Code C1
Q-Index Status Confirmed Code

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
UQ Centre for Clinical Research Publications
 
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Created: Mon, 30 Mar 2009, 21:01:06 EST by Amanda Barnett on behalf of UQ Centre for Clinical Research