A Non-Uniform Regional Partition Coding of One Dimension Signal and its Application

Abstract:

In this paper, a novel method for one-dimension-signal coding based on non-uniform regional partition is proposed. A given 1D signal can automatically be partitioned into different regions with different lengths and the one-variable polynomial is used to do the Least Square Approximation for signal values in each sub-region. When the approximation error and initial partition are specified, a specific signal partition result is obtained. Based on this algorithm, an effective denoising scheme of 1D signal is implemented and some of the experimental examples are illustrated to prove that the quality of the re-constructed signal, the denoising effect are all satisfactory and can be referenced by other researchers.

• Periodical: Applied Mechanics and Materials (Volume 441)
• Pages: 674-677
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.441.674
• Online since: December 2013
• Authors: U. Kintak*, Gang Qiang Xiong, Ze Sheng Tang
• Keywords: Least Square Approximation, Non-Uniform Regional Partition, Signal Denoising

References

[1] Bagchi S., Mitra S.K. The nonuniform discrete Fourier transform and its applications in filter design. I. 1-D. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing. 1996, Vol. 43, Issue 6, pp.422-433.

DOI: 10.1109/82.502315

[2] Makur A.; Mitra, S.K. Warped discrete-Fourier transform: Theory and applications IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. 2001, Vol. 49, Issue 9, pp.1086-1093.

DOI: 10.1109/81.948436

[3] Yanyan Liang. The Nonuniform V-Transform: Theory and Applications. PHD thesis of Macau University of Science and Technology, 2009, 6.

[4] Donoho D. Wedgelets: nearly minimax estimation of edges. Annals of Smfisfies, 1999, s the one-variable n denosing process with oe 5(c)uniform Partition and Wavelet. ����������������������������������������������27(3): 859-897.

DOI: 10.1214/aos/1018031261