A new Configurable Decimation Filter using Pascal-s Triangle Theorem
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.
[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.
[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.
@article{"International Journal of Electrical, Electronic and Communication Sciences:54216", author = "A. Chahardah Cherik and E. Farshidi", title = "A new Configurable Decimation Filter using Pascal-s Triangle Theorem", 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", volume = "5", number = "6", pages = "743-4", }