The Regularized Low Pass Filter

DOI: 10.4236/jsip.2014.51003   PDF   HTML   XML   3,611 Downloads   5,038 Views  

Abstract

In this paper the low pass filter is discussed in the noisy case. And a regularized low pass filter is presented. The convergence property of the regularized low pass filtering algorithm is proved in theory and tested by numerical results.

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W. Chen, "The Regularized Low Pass Filter," Journal of Signal and Information Processing, Vol. 5 No. 1, 2014, pp. 14-16. doi: 10.4236/jsip.2014.51003.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] D. Georgakopoulos and W. Q. Yang, “Circuit Noise Reduction by Analogue Lowpass Filtering and Data Averaging,” Electronics Letters, Vol. 37 No. 19, 2001, pp. 1147-1148.
http://dx.doi.org/10.1049/el:20010782
[2] P. Daripa and W. Hua, “A Numerical Study of an Ill-Posed Boussinesq Equation Arising in Water Waves and Nonlinear Lattices: Filtering and Regularization Techniques,” Applied Mathematics and Computation, Vol. 101, No. 2-3, 1999, pp. 159-207.
http://dx.doi.org/10.1016/S0096-3003(98)10070-X
[3] O. Scherzer and J. Weickert, “Relations between Regularization and Diffusion Filtering,” Journal of Mathematical Imaging and Vision, Vol. 12, No. 1, 2000, pp. 43-63.
http://dx.doi.org/10.1023/A:1008344608808
[4] T. Daboczi and I. Kollarl, “Multiparameter Optimization of Inverse Filtering Algorithms,” IEEE Transactions On Instrumentation and Measurement, Vol. 45, No. 2, 1996, pp. 417-421. http://dx.doi.org/10.1109/19.492758
[5] D. Tschumperle and R. Deriche, “Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications,” IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 27, No. 4, 2005, pp. 506-517. http://dx.doi.org/10.1109/TPAMI.2005.87
[6] W. Chen, “An Efficient Method for An Ill-Posed Problem —Band-limited Extrapolation by Regularization,” IEEE Transaction on Signal Processing, Vol. 54, No. 12, 2006, pp. 4611-4618.
http://dx.doi.org/10.1109/TSP.2006.881255
[7] W. Chen, “Band-Limited Extrapolation by Regularization,” LAP Lambert Academic Publishing, 2010.

  
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