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A Zero-Crossing Rate Property of Power Complementary Analysis Filterbank Outputs

Shenoy, Ravi R and Seelamantula, Chandra Sekhar (2015) A Zero-Crossing Rate Property of Power Complementary Analysis Filterbank Outputs. In: IEEE SIGNAL PROCESSING LETTERS, 22 (12). pp. 2354-2358.

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Official URL: http://dx.doi.org/10.1109/LSP.2015.2481720

Abstract

We establish zero-crossing rate (ZCR) relations between the input and the subbands of a maximally decimated M-channel power complementary analysis filterbank when the input is a stationary Gaussian process. The ZCR at lag is defined as the number of sign changes between the samples of a sequence and its 1-sample shifted version, normalized by the sequence length. We derive the relationship between the ZCR of the Gaussian process at lags that are integer multiples of Al and the subband ZCRs. Based on this result, we propose a robust iterative autocorrelation estimator for a signal consisting of a sum of sinusoids of fixed amplitudes and uniformly distributed random phases. Simulation results show that the performance of the proposed estimator is better than the sample autocorrelation over the SNR range of -6 to 15 dB. Validation on a segment of a trumpet signal showed similar performance gains.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA
Keywords: Cosine-weighted centroid; Gaussian processes; power complementary; zero-crossing rate
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 31 Oct 2015 05:55
Last Modified: 31 Oct 2015 05:55
URI: http://eprints.iisc.ac.in/id/eprint/52628

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