New signal adaptive approach for the reduction of interference terms in quadratic time-frequency distributions

Robert M. Nickel; William J. Williams

doi:10.1117/12.325674

2 October 1998 New signal adaptive approach for the reduction of interference terms in quadratic time-frequency distributions

Robert M. Nickel, William J. Williams

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Proceedings Volume 3461, Advanced Signal Processing Algorithms, Architectures, and Implementations VIII; (1998) https://doi.org/10.1117/12.325674
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

One of the key problems in high resolution, time-varying spectral analysis is the suppression of interference terms which can obscure the true location of auto components in the resulting time-frequency distribution (TFD). Commonly used reduced interference distributions tackle the problem with a properly chosen 2D low pass filter (kernel). A recently published novel approach uses alternative means to achieve the desired goal. The idea of the new method is to obtain an estimate of the cross terms form a given prior distribution based on the magnitude and location of its negative components. The estimate is constructed via an iterative projection method that guarantees that the resulting distribution is positive and satisfies the marginals. Even though the marginals are usually a desirable property of TFDs in general, they can impose an undesirably strong constraint on positive TFDs in particular. For these cases it is thus beneficial to relax the marginals-constraints. In this paper we present a new method that does not require the incorporation of this constraint and thus leads to positive TFDs with reduced interference terms but without the restrictions due to the marginals.

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Robert M. Nickel and William J. Williams "New signal adaptive approach for the reduction of interference terms in quadratic time-frequency distributions", Proc. SPIE 3461, Advanced Signal Processing Algorithms, Architectures, and Implementations VIII, (2 October 1998); https://doi.org/10.1117/12.325674

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KEYWORDS

Time-frequency analysis

Frequency modulation

Linear filtering

Correlation function

Interference (communication)

Signal processing

Nickel

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