Filtering in rotated time-frequency domains with unknown noise statistics

Subramaniam, S. R., Ling, B.W.-K. and Georgakis, A. (2012) Filtering in rotated time-frequency domains with unknown noise statistics. IEEE Transactions on Signal Processing, 60 (1). pp. 489-493. ISSN 1053-587X

Full content URL: http://dx.doi.org/10.1109/TSP.2011.2171956

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Item Type:Article
Item Status:Live Archive

Abstract

The concept of rotation in the joint time-frequency plane can be exploited in order to generalize classical Fourier-based operations. It is known that filtering in rotated time-frequency domains can lead to significant performance advantages for certain types of signals as compared to conventional linear time invariant systems. In this correspondence, we revisit the design problem of such a scheme and derive a formulation that does not require knowledge of the statistics of the corrupting noise. Simulations have been used to confirm the validity of the proposed solution. © 2006 IEEE.

Keywords:Design problems, Fractional Fourier transforms, Linear time invariant systems, Noise statistics, Strip filters, Time frequency domain, Time-frequency planes, Linear systems, Invariance
Subjects:H Engineering > H100 General Engineering
Divisions:College of Science > School of Engineering
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ID Code:11227
Deposited On:17 Jan 2014 14:20

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