Estimation of Mixing Coefficients using the Joint Probability Distribution of Mixed Signals

Abstract

Source separation has numerous applications, namely, biomedical signal processing, exploration seismology, speech and image enhancement, localization, etc., which includes the estimation of the mixing model. The technique of source separation aims to estimate both the original sources and the mixing model using only the observations. We have analysed the source separation problem with the assumption that sources are statistically independent. On the basis of prior statistical information of the source signals and joint probability distributions function (PDF) between the observed signals, the information of the mixing model has been extracted and examined. It has been observed that the shape of joint PDF is highly useful in characterizing the mixing coefficients.

KEYWORDS:

• Blind source separation
• Independent components
• Joint probability distribution
• Mixing coefficient
• Signal restoration
• Source separation

Additional information

Notes on contributors

Mohd Wajid

Mohd Wajid is an assistant professor in the Department of Electronics Engineering, AMU, Aligarh. Wajid did his BTech (Electronics) from AMU – Aligarh and MTech (VLSI and Embedded Systems) from IIIT Hyderabad. He obtained PhD degree in signal processing from the Indian Institute of Technology Delhi, India. Before joining Aligarh Muslim University, he was associated with Jaypee University of Information Technology, Texas Instruments, Xilinx India Technology Services Private Limited, and BlueStar Limited. He is also a senior member of IEEE, USA. Corresponding author. Email: [email protected]

Meenu Kumari

Meenu Kumari has completed her MTech degree from Jaypee University of Information Technology, Solan. Her research interest is in signal processing and its applications. Meenu also possesses bachelors in engineering with specialization in electronics and communication. She had also worked as an assistant professor in the Department of Electronics and Communication Engineering, Poornima University, Jaipur. Email: [email protected]

Mohammed Usman

Mohammed Usman received BE in electronics and communication engineering from the University of Madras, India in 2002. He joined the University of Strathclyde in Glasgow, United Kingdom as a graduate student and was awarded Master of Science in communications, control and digital signal processing in the year 2003. In 2008, he was awarded the PhD degree for his research on fountain codes for wireless communications. He has more than 10 years’ experience in academics has also led administrative roles within academia. He is a senior member and member of IEEE and IET, respectively. Email: [email protected]

Omar Farooq

Omar Farooq received his BSc Engineering and MSc Engineering from AMU in 1991 and 1993, respectively. He joined the Department of Electronics Engineering, AMU Aligarh as lecturer in 1992 and is currently working as a professor. He was awarded Commonwealth Scholar from 1999 to 2002 towards PhD at Loughborough University, UK and one year UKIERI postdoctoral fellowship in 2007-08. He has authored/co-authored over 180 papers in journal conference proceedings. He is a Fellow of Acoustical Society of India (ASI) and Fellow IETE, India. He is also a senior member of IEEE, USA. Email: [email protected]