2003IETE Journal of ResearchRequires access

Localisation of Phase Spectrum using Modified Continuous Wavelet Transform

Rutuparna Panda, B.K. Panigrahi

Open publisher page 1 citations

Abstract

This paper presents a modified Continuous Wavelet Transform (CWT) for localisation of phase spectrum. The proposed transform provides us a frequency dependent resolution while maintaining a relationship with the Windowed Fourier Transform (WFT) and Continuous Wavelet Transform (CWT). A localized scalable spline window is used for dilation and translation while keeping modulating sinusoids fixed along the time axis. These distinctive features are absent in both WFT and CWT.

About this research paper

What this paper is about

This paper presents a modified Continuous Wavelet Transform (CWT) for localisation of phase spectrum. The proposed transform provides us a frequency dependent resolution while maintaining a relationship with the Windowed Fourier Transform (WFT) and Continuous Wavelet Transform (CWT). A localized scalable spline window is used for dilation and translation while keeping modulating sinusoids fixed along the time axis. These distinctive features are absent in both WFT and CWT.

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Available abstract

This paper presents a modified Continuous Wavelet Transform (CWT) for localisation of phase spectrum. The proposed transform provides us a frequency dependent resolution while maintaining a relationship with the Windowed Fourier Transform (WFT) and Continuous Wavelet Transform (CWT). A localized scalable spline window is used for dilation and translation while keeping modulating sinusoids fixed along the time axis. These distinctive features are absent in both WFT and CWT.

Key concepts: Continuous wavelet transform, Harmonic wavelet transform, S transform, Wavelet transform, Second-generation wavelet transform, Mathematics, Wavelet, Short-time Fourier transform

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