http://www.iaeme.com/IJEET/index.asp 64 editor@iaeme.com
International Journal of Electrical Engineering and Technology (IJEET)
Volume 11, Issue 5, July 2020, pp. 64-72, Article ID: IJEET_11_05_007
Available online at http://www.iaeme.com/ijeet/issues.asp?JType=IJEET&VType=11&IType=5
ISSN Print: 0976-6545 and ISSN Online: 0976-6553
DOI: 10.34218/IJEET.11.5.2020.007
© IAEME Publication Scopus Indexed
SPARSITY ASSISTED SIGNAL SMOOTHING IN
TIME-SERIES SEISMIC DATA
Abhishek Kesharwani, Devika Chib and Shubham Singh
Third Year (B-Tech), Vellore Institute of Technology, Vellore, Tamil Nadu, India
Dr. Malaya Kumar Hota
Professor, Department of Communication Engineering, School of Electronics Engineering,
Vellore Institute of Engineering, Vellore, Tamil Nadu, India
ABSTRACT
Sparsity-assisted signal smoothing (SASS) is dependent on a banded matrix
formulation of the recursive filtering of finite length input signals. This paper presents
a formulation of higher-order zero-phase lowpass, high-pass, and band-pass infinite
impulse response filters as matrices, using the spectral transformation of the state-
space representation of digital filters, that avoids the unwanted transient artifacts at
signal end-points in the original formulation and denoises marine seismic signals. The
simulations have been created by running the code in MATLAB, using synthesized
data, thus the results can be compared with the other methods easily. The problems
posed while noise removal by conventional methods are also discussed. We have tried
our best in presenting this new technology and the output obtained for the same
clearly indicates the effectiveness and robustness of a SASS denoising algorithm and
has a wide scope of application in the future, which can be a very important asset to
the research process.
Key words: Sparsity-assisted signal smoothing, banded matrix formulation, low-pass,
high-pass, band-pass filter.
Cite this Article: Abhishek Kesharwani, Devika Chib, Shubham Singh and Dr.
Malaya Kumar Hota, Sparsity Assisted Signal Smoothing in Time-Series Seismic
Data. International Journal of Electrical Engineering and Technology, 11(5), 2020,
pp. 64-72.
http://www.iaeme.com/IJEET/issues.asp?JType=IJEET&VType=11&IType=5
1. INTRODUCTION
The presence of Noise in marine seismic signals is a major menace and must be removed for
the data to be further processed. This noise is incoherent along the spatial direction. Hence,
there are several methods that have been developed to tackle this problem.
Signal denoising of time-series data is a very widely used technology and many areas of
science are implementing it extensively in research these days. One of its many popular uses,