The Regularized Low Pass Filter ()
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.
Share and Cite:
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.
|