Localisation of Phase Spectrum using Modified Continuous Wavelet Transform
Rutuparna Panda, B.K. Panigrahi
Abstract
Rutuparna Panda, B.K. Panigrahi
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.
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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