A new Configurable Decimation Filter using Pascal-s Triangle Theorem

Authors: A. Chahardah Cherik, E. Farshidi

Abstract:

This paper presents a new configurable decimation filter for sigma-delta modulators. The filter employs the Pascal-s triangle-s theorem for building the coefficients of non-recursive decimation filters. The filter can be connected to the back-end of various modulators with different output accuracy. In this work two methods are shown and then compared from area occupation viewpoint. First method uses the memory and the second one employs Pascal-s triangle-s method, aiming to reduce required gates. XILINX ISE v10 is used for implementation and confirmation the filter.

Keywords: Decimation filter, sigma delta, Pascal's triangle'stheorem, memory

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060461

References:

[1] E. B. Hogenauer, "An Economical Class of Digital filters for Decimation and Interpolation", IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. ASSP-29(No. 2):155-162, April 1981.
[2] Y. Dumonteix, H. Aboushady, H. Mehrez and M. M. Lou┬¿erat, "Low power Comb Decimation Filter Using Polyphase Decomposition For Mono-Bit ΣΔ Analog-to-Digital Converters", International Conference on Signal Processing Applications & Technology, ICSPAT, 2009.
[3] Chi Zhang and Erwin Ofner, "Low Power Non-Recursive Decimation Filters", Electronics, Circuits and Systems, 2007. ICECS 2007. 14th IEEE International Conference on, 804 - 807 Dec. 2007.
[4] Hong-Kui Yang and W. Martin Snelgrove, "High Speed Polyphase CIC Decimation Filters", Circuits and Systems, 1996. ISCAS '96., 'Connecting the World'., 1996 IEEE International Symposium on, 229 - 232 vol.2, May 1996.
[5] A. W. F. Edwards, "Pascal-s arithmetical triangle: the story of a mathematical idea", John Hopkins paperback, 2002.