Room Response Equalization of Non-Minimum Phase Systems Using Kautz Filter and Sparse Autoencoder: A Hybrid Approach

Abstract

Room Response Equalization (RRE) systems play a vital role in enhancing the hearing experience in different real-time application areas such as cinema theatres, home theatres, hearing aid implementation, car hi-fi systems, etc. Thenceforth, RRE using digital signal processing techniques has been a matter of great interest to researchers for a long time. RRE is intended to provide a listener with a profound audio experience alike the original audio signal. Conventional filtering approaches have been used by several researchers to perform room equalization. However, this article presents a novel technique by cascading a Kautz filter and a sparse autoencoder in performing room equalization. Kautz filters belong to a category of fixed pole IIR filters that use least-square (LS) minimization to generate orthonormal tap-output impulse responses. This LS approximated signal is further trained by a sparse autoencoder, which provides filter coefficients, iteratively optimized, to minimize a cost function. The cost function is considered here in terms of the reconstruction error function. The performance of this hybrid network of equalization is evaluated in terms of mean square error and spectral deviation measures. Computational results show that this hybrid approach yields better results both qualitatively and quantitatively in comparison with the other filtering techniques.

Keywords:

• Kautz filter
• Non-minimum phase systems
• Nyquist criterion
• Room response equalization
• Sparse autoencoder
• Spectral deviation measure

Acknowledgement

This work is supported by Science & Technology and Biotechnology Department, Government of West Bengal, Grant Number ST/P/S&T/6G-2/2018.

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Sayanti Chaudhuri

Sayanti Chaudhuri (Member, IEEE) received the BTech degree in engineering from West Bengal University of Technology, Kolkata, India, in 2010, and the ME degree in biomedical engineering from Jadavpur University, Kolkata, in 2013. She is currently working toward the PhD degree in signal processing from the Electrical Engineering Department, Jadavpur University. Her current research interests include applications of signal conditioning and processing tools related to condition assessment. Corresponding author. Email: [email protected]

Debangshu Dey

Debangshu Dey (Senior Member, IEEE) received his BEE, MEE and PhD degrees from Jadavpur University, Kolkata, India in 2003, 2005 and 2009, respectively. Presently, he is working as an associate professor in the Electrical Engineering Department, Jadavpur University, Kolkata, India. Dr Dey has published more than 100 research papers in international journals and conferences in the fields of his research including 27 papers in IEEE Transactions and co-authored 2 books from Springer-Verlag London and Elsevier also edited 2 volumes published by IEEE. He is the principal investigator of 3 Government funded projects. 4 patents have been granted to him, of which 1 is a US Patent. He is the recipient of IEI Young Engineer Award in 2014, TARE research associateship from SERB, Govt. of India in 2018, Visvesvaraya Young Faculty Research Fellowship in 2019, Outstanding Chapter Engineer Award by IEEE PES, Kolkata and two best paper awards. His name is included in the list of the top 2 percentile researchers worldwide for the year of 2020, published by Stanford University & Elsevier BV. His areas of interest are applications of signal and image conditioning and processing tools in electrical and bio-medical systems, condition monitoring of electrical equipment, non-invasive testing related to condition assessment.Email: [email protected]

Sugata Munshi

Sugata Munshi (Member, IEEE) received the BEE and MEE degrees in electrical engineering from Jadavpur University, Kolkata, India, in 1980 and 1985, respectively. He is currently a professor with the Department of Electrical Engineering, Jadavpur University. He worked with the Plasma Physics Department, Saha Institute of Nuclear Physics from 1985 to 1990 and then joined Jadavpur University. He has about 50 research papers in refereed journals and 30 conference papers. His current research interests include signal processing, sensor systems, and intelligent instrumentation. Prof Munshi was the recipient of the President of India’s Prize, Pandit Madan Mohan Malaviya Memorial Prize, Thomas Ward Memorial Prize, Tata Rao Medal and two Certificates of Merit awarded by The Institution of Engineers (India).Email: [email protected]