An Improved Quality Adaptive Rate Filtering Technique Based on the Level Crossing Sampling

Authors: Saeed Mian Qaisar, Laurent Fesquet, Marc Renaudin

Abstract:

Mostly the systems are dealing with time varying signals. The Power efficiency can be achieved by adapting the system activity according to the input signal variations. In this context an adaptive rate filtering technique, based on the level crossing sampling is devised. It adapts the sampling frequency and the filter order by following the input signal local variations. Thus, it correlates the processing activity with the signal variations. Interpolation is required in the proposed technique. A drastic reduction in the interpolation error is achieved by employing the symmetry during the interpolation process. Processing error of the proposed technique is calculated. The computational complexity of the proposed filtering technique is deduced and compared to the classical one. Results promise a significant gain of the computational efficiency and hence of the power consumption.

Keywords: Level Crossing Sampling, Activity Selection, Rate Filtering, Computational Complexity, Interpolation Error.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082325

References:

[1] J.W. Mark and T.D. Todd, "A nonuniform sampling ap-proach to data compression", IEEE Transactions on Communica-tions, vol. COM-29, pp. 24-32, January 1981.
[2] E. Allier, G. Sicard, L. Fesquet and M. Renaudin, "A new class of asyn-chronous A/D converters based on time quantization", ASYNC'03, pp.197-205, May 2003.
[3] F. Aeschlimann, E. Allier, L. Fesquet and M. Renaudin, "Asynchronus FIR filters, towards a new digital processing chain", ASYNC'04, pp. 198-206, April 2004.
[4] N. Sayiner, H.V. Sorensen and T.R. Viswanathan, "A Level-Crossing Sampling Scheme for A/D Conversion", IEEE Transactions on Circuits and Systems II, vol. 43, pp. 335-339, April 1996.
[5] S.C. Sekhar and T.V. Sreenivas, "Adaptive window zero-crossing based instantaneous frequency estimation", EURASIP Journal on Applied Signal Processing, pp.1791-1806, Volume 2004, Issue 1, January 2004.
[6] D.M. Klamer and E.Marsy, "Polynomial interpolation of randomly sam-pled band-limited functions and processes", SIAM Review, vol.42, No.5, pp. 1004-1019, October 1982.
[7] F.J. Beutler, "Error free recovery from irregularly spaced samples", SIAM Review, vol. 8, pp. 328-335, 1996.
[8] S.M. Qaisar, L. Fesquet and M. Renaudin "Spectral Analysis of a signal Driven Sampling Scheme", EUSIPCO-06, September 2006.
[9] S. de Waele and P.M.T.Broersen, "Time domain error measures for resampled irregular data", IEEE Transactions on Instrumentation and Meas-urements, pp.751-756, May 1999.
[10] S. de Waele and P.M.T. Broersen, "Error measures for resampled irregu- lar data", IEEE Transactions on Instrumentation and Measurements, pp.216-222, April 2000.
[11] S.M. Qaisar, L. Fesquet and M. Renaudin, "Computationally efficient adaptive rate sampling and filtering", EUSIPCO-07, pp.2139-2143, Septem-ber 2007.
[12] M. Gretains, "Time-frequency representation based chirp like signal analysis using multiple level crossings", EUSIPCO-07, pp.2154-2158, Sep-tember 2007.
[13] S.M. Qaisar, L. Fesquet and M. Renaudin, "Adaptive rate filtering for a signal driven sampling scheme", ICASSP-07, pp.1465-1468, April 2007.
[14] F. Marvasti, "Nonuniform sampling theory and practice", Kluwer academic/ Plenum Publisher, New York, 2001.
[15] Martin Vetterli, "A theory of multirate filter banks", IEEE transaction on Acoustic, Speeh and Signal Processing, vol. 35, pp.356-372, March 1987.
[16] S. Chu and C.S. Burrus, "Multirate filter designs using comb filters", IEEE transaction on Circuits and Systems, vol. 31, PP. 913-924, November 1984.
[17] K. M. Guan et al. "Oppertunistic Sampling by Level-Crossing", ICASSP-07, pp.1513-1516, April 2007.
[18] F. Akopyan et al. "A level-crossing flash analog-to-digital converter", ASYNC-06, pp.12-22, March 2006.
[19] S.M. Qaisar, L. Fesquet and M. Renaudin, "An Adaptive resolution computationally efficient short time Fourier transform", EURASIP, RLSP, April 2008.