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Higher Order Low Pass FIR Digital Differentiators

by Simranjot Singh, Kulbir Singh
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 87 - Number 5
Year of Publication: 2014
Authors: Simranjot Singh, Kulbir Singh
10.5120/15203-3594

Simranjot Singh, Kulbir Singh . Higher Order Low Pass FIR Digital Differentiators. International Journal of Computer Applications. 87, 5 ( February 2014), 13-18. DOI=10.5120/15203-3594

@article{ 10.5120/15203-3594,
author = { Simranjot Singh, Kulbir Singh },
title = { Higher Order Low Pass FIR Digital Differentiators },
journal = { International Journal of Computer Applications },
issue_date = { February 2014 },
volume = { 87 },
number = { 5 },
month = { February },
year = { 2014 },
issn = { 0975-8887 },
pages = { 13-18 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume87/number5/15203-3594/ },
doi = { 10.5120/15203-3594 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:05:08.166838+05:30
%A Simranjot Singh
%A Kulbir Singh
%T Higher Order Low Pass FIR Digital Differentiators
%J International Journal of Computer Applications
%@ 0975-8887
%V 87
%N 5
%P 13-18
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper design of non-recursive higher order low pass digital differentiators satisfying given specifications is investigated. The concept of low pass differentiation is further generalized to higher order differentiators. A formula is derived using Fourier integral to compute impulse response coefficients of the differentiator. The equation is then used to design first order differentiators and results are compared with Salesnick's technique. The proposed FIR low pass differentiator has improvement in transition width and flexibility to choose cutoff frequency. The same technique has been demonstrated for second order design according to provided specifications. This method is used in the design of second order low pass differentiator for QRS detection in ECG. It is shown that the proposed implementation has low hardware and software complexity as compared to existing second derivative based techniques of QRS detection, giving advantage in optimization of current real time ECG systems.

References
  1. I. Salesnick, Maximally flat lowpass digital differentiators, IEEE Trans. Circuits Syst. II, vol. 49 (2002), no. 3, pp. 219–223.
  2. S. C. Dutta Roy, B. Kumar, Handbook of Statistics, Vol. 10, Elsevier Science Publishers, Amsterdam, pp. 159-205, 1993.
  3. M. A. Al-Alaoui, Linear phase low-pass IIR digital differentiators, IEEE Trans. Signal Process. (2007), vol. 55, no. 2, pp. 691–706.
  4. A. Antoniou, Design of digital differentiators satisfying prescribed specifications, IEEE Proc. E. Comput. Digital Tech. , vol. 127(1980).
  5. J. G. Proakis and D. G. Manolakis, Digital Signal Processing. Englewood Cliffs, Prentice-Hall, 1996.
  6. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, Prentice-Hall, Englewood Cliffs, 1999.
  7. P. Bois, Table of Infinite Integrals, Dover Publications, NY, 1962.
  8. G. E. Forsythe, M. A. Malcolm, C. B. Moler, Computer Methods for Mathematical Computations, Prentice-Hall, 1976.
  9. P. B. Richard, Algorithms for Minimization without Derivatives, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.
  10. A. Antoniou, C. Charalambous, Improved design method for Kaiser differentiators and comparison with equiripple method, IEEE Proc. E. Comput. Digital Tech. (1981) vol. 128.
  11. H. Zhao, G. Qiu, L. Yao, J. Yu, Design of fractional order digital FIR differentiators using frequency response approximation, Proc. 2005 Int. Conf. Communications, Circuits and Systems. (2005) pp. 1318–1321.
  12. N. M. Arzeno, Z. D. Deng, C. S. Poon, Analysis of first derivative based QRS detection algorithms, IEEE transactions on Biomedical Engg. 55(2008) 478-484.
  13. G. M. Friesen, T. C. Jannett, M. A. Jadallah, S. L. Yates, S. R. Quint, H. T. Nagle, A comparison of the noise sensitivity of nine QRS detection algorithms. IEEE Trans. Biomed. Eng. BME-37 (1990). 85–97.
  14. A. L. Goldberger et al. , PhysioBank, PhysioToolkit, and PhysioNet:Components of a new research resource for complex physiologic signals, Circulation, vol. 101 (2000), no. 3, pp. 215–220.
  15. A. Ghaffari, H. Golbayani, M. Ghasemi, A new mathematical based QRS detector using continuous wavelet transform, Computers and Electrical Engineering 34 (2008) 81–91
  16. P. S. Hamilton, W. J. Tompkins, Quantitative investigation of QRS detection rules using the MIT/BIH arrhythmia database. IEEE Trans. Biomed. Eng. BME-33 (1986). 1157–65
Index Terms

Computer Science
Information Sciences

Keywords

FIR Filter Higher order differentiator Low pass differentiator QRS complex detection Fourier Integral

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