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Spectral Zero-Crossings: Localization Properties and Applications

Shenoy, Ravi R and Seelamantula, Chandra Sekhar (2015) Spectral Zero-Crossings: Localization Properties and Applications. In: IEEE TRANSACTIONS ON SIGNAL PROCESSING, 63 (12). pp. 3177-3190.

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Official URL: http://dx.doi.org/ 10.1109/TSP.2015.2420538

Abstract

We present an analysis of the rate of sign changes in the discrete Fourier spectrum of a sequence. The sign changes of either the real or imaginary parts of the spectrum are considered, and the rate of sign changes is termed as the spectral zero-crossing rate (SZCR). We show that SZCR carries information pertaining to the locations of transients within the temporal observation window. We show duality with temporal zero-crossing rate analysis by expressing the spectrum of a signal as a sum of sinusoids with random phases. This extension leads to spectral-domain iterative filtering approaches to stabilize the spectral zero-crossing rate and to improve upon the location estimates. The localization properties are compared with group-delay-based localization metrics in a stylized signal setting well-known in speech processing literature. We show applications to epoch estimation in voiced speech signals using the SZCR on the integrated linear prediction residue. The performance of the SZCR-based epoch localization technique is competitive with the state-of-the-art epoch estimation techniques that are based on average pitch period.

Item Type: Journal Article
Publication: IEEE TRANSACTIONS ON SIGNAL PROCESSING
Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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: Spectral zero-crossing rate; random phase modulation; temporal centroid; transient localization; glottal closure instants; epoch estimation
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 26 Jun 2015 05:20
Last Modified: 26 Jun 2015 05:20
URI: http://eprints.iisc.ac.in/id/eprint/51759

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