Abstract
A unique methodology employing a linear phase finite impulse response (FIR) low pass filter (LPF) was proposed with an attempt to mitigate passband and stopband ripples due to Gibb’s phenomenon. The three regions of the filter response in the frequency domain are approximated using trigonometric functions. The proposed filter model achieved a sharp transition of 2π, fairly flat passband and a stopband attenuation of 40 dB. Our algorithm suppressed the oscillations near the edge of the transition region as well as in the passband region, reducing the Gibb’s phenomenon from the conventional passband ripples from 18% to as low as 2%. Thus a threefold satisfactory performance was achieved in all the three bands namely passband, transition and stopband. Our proposed linear phase FIR LPF was effectively used to filter out power line interference and higher unwanted frequencies from the real time electroencephalogram signals.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ifeachor EC, Jervis BW (2002) Digital signal processing: a practical approach. Pearson Education, pp 367–379
Proakis JG, Manolakis DG (1992) Digital signal processing-principles, algorithms and applications
Gibbs AJ (1970) The design of digital filters in Australian. Telecommun Res J 4:29–34
Johnson JR (1989) Introduction to digital signal processing. Prentice Hall, Englewood Cliffs, NJ, pp 426-440
Rabiner LR et al (1975) FIR digital filter design techniques using weighted Chebyshev approximation. Proc IEEE 63(4):595–610
Alkhairy A et al (1991) Design of FIR filters by complex Chebyshev approximation. In: IEEE international conference on acoustics, speech, and signal processing, ICASSP-91, pp 1985–1988
Saramäki T, Lim YC (2003) Use of the Remez algorithm for designing FRM based FIR filters. Circ Syst Signal Process 22(2):77–97
Vaidyanathan P (1985) Optimal design of linear phase FIR digital filters with very flat passbands and equiripple stopbands. IEEE Trans Circuits Syst 32(9):904–917
Saramaki T et al (1988) Design of computationally efficient interpolated FIR filters. IEEE Trans Circ Syst 35(1):70–88
Lim Y (1986) Frequency-response masking approach for the synthesis of sharp linear phase digital filters. IEEE Trans Circ Syst 33(4):357–364
Jing Z, Fam A (1984) A new structure for narrow transition band, low pass digital filter design. IEEE Trans Acoust Speech Signal Process 32(2):362–370
Henzel N, Leski JM (2013) Generalized constraint design of linear-phase FIR digital filters. In: Proceedings of the 8th international conference on computer recognition systems CORES 2013. Springer, Heidelberg, pp 53–62
Marchon N et al (2018) Linear phase sharp transition BPF to detect noninvasive maternal and fetal heart rate. J Healthc Eng Hindawi 2018:1–14
Rodrigues J, Pai KR (2005) New approach to the synthesis of sharp transition FIR digital filter. In: Proceedings of the IEEE international symposium industrial electronics, vol 3, pp 1171–1173
Marchon N et al (2018) Monitoring of fetal heart rate using sharp transition FIR filter. Biomed Signal Process Control 44:191–199
Britton JW et al (2016) Electroencephalography (EEG): an introductory text and atlas of normal and abnormal findings in adults, children, and infants. American Epilepsy Society, Chicago
Akiyama M et al (2017) Theta-alpha EEG phase distributions in the frontal area for dissociation of visual and auditory working memory. Sci Rep 7:42776
Malmivuo J, Plonsey R (1995) Bioelectromagnetism: principles and applications of bioelectric and biomagnetic fields. Oxford University Press, USA
Acknowledgements
The authors would like to thank Mr. Noel Tavares, research scholar from the Electronics department, Goa University for collecting the EEG clinical data for testing our filter algorithm.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Marchon, N., Naik, G. (2020). FIR Filter Design Technique to Mitigate Gibb’s Phenomenon. In: Shreesha, C., Gudi, R. (eds) Control Instrumentation Systems. Lecture Notes in Electrical Engineering, vol 581. Springer, Singapore. https://doi.org/10.1007/978-981-13-9419-5_10
Download citation
DOI: https://doi.org/10.1007/978-981-13-9419-5_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-9418-8
Online ISBN: 978-981-13-9419-5
eBook Packages: EngineeringEngineering (R0)