Multichannel Frequency Representation of a Signal using Harmonic Spline Basis Functions

Abstract

This paper presents a new technique for multichannel frequency representation of a signal using harmonic spline basis functions. Spectral properties of these harmonic spline basis functions are discussed. These basis functions are band-pass in nature and are suitable for the harmonic analysis of distorted signal. Experimentally it has been shown that band-pass filter outputs (by properly choosing the filter center frequency) are associated with harmonics and are useful to detect and analyse transients in a signal voltage disturbance.

Indexing terms:

• Fourier transform
• Wavelet transform
• Harmonic analysis
• Time-frequency analysis
• Spline functioins

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 Institution 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 February 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.

V Sharma

Vikash Sharma is Head, Department of Electronics & Telecommunication Engineering at Padmashree Krutartha Acharya College of Engineering, Bargarh (Orissa). He has received Masters Degree in Industrial Management in 1995 and Masters Degree in Communication System Engineering in 2001 from Sambalpur University. He has submitted PhD thesis on “Turnaround Strategy” to Sambalpur University and result is expected soon. He is Life Member of ISTE and IE (India). His areas of interest include multiresolution signal decomposition techniques for digital signal and image procesing applications. Pattern Recognition, Biometrics and Strategic Management. He has published some papers.