Localisation of Phase Spectrum using Modified Continuous Wavelet Transform

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.

Indexing terms:

• Signal processing
• Wavelet transform
• B-spline
• Phase spectrum
• Spline window

Additional information

Notes on contributors

R Panda

Rutuparna Panda obtained BSc (Engg) in Electronics and Telecommunication Engg, MSc (Engg) in Electronic systems and Communication Engg and PhD (Engg) from Sambalpur University in 1985 and 1990 and IIT, Kharagpur in 1998, respectively. He is the recipient of the Institution Gold Medal from Institute of Engineers(I), Orissa state center in 1993 and Rashtriya Ratna Award from India International Society for Unity in 2001. He has more than 25 papers in International and National Journals/Conference Proceedings to his credit. He was the Head of Electronics and Telecommunication Engineering Department at University College of Engineering, Burla from Feburary 2000 to February 2002. He is a Fellow of IETE and Life Member of IE(I) and ISTE and a Member of ISTD. His research interests include—multiresolution signal decomposition techniques for digital signal and image processing applications, B-spline wavelet based signal/image processing tools for agriculture, medicine and remote sensing applications.

B K Panigrahi

B K Panigrahi obtained BSc (Engg) in Electrical Engineering from OUAT, Bhubaneswar, ME in Power System Engineering from Sambalpur University in 1990 and 1995, respectively. He has submitted his PhD Thesis in “Application and Control of Electric Power quality in Distribution Networks” to Sambalpur University. He has more than five research papers in IEEE and EPSR to his credit. He is actively involved in the research area of application of advanced digital signal processing techniques to power quality events monitoring and control, FACTS devices for power quality improvement using nonlinear control theory.