Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.
Digital Object Identifier (DOI) : 10.14569/IJACSA.2013.041208
Article Published in International Journal of Advanced Computer Science and Applications(IJACSA), Volume 4 Issue 12, 2013.
Abstract: This work looks at optimizing finite impulse response (FIR) filters from an arithmetic perspective. Since the main two arithmetic operations in the convolution equations are addition and multiplication, they are the targets of the optimization. Therefore, considering carry-propagate-free addition techniques should enhance the addition operation of the filter. The signed-digit number system is utilized to speedup addition in the filter. An alternative carry propagate free fast adder, carry-save adder, is also used here to compare its performance to the signed-digit adder. For multiplication, Booth encoding is used to reduce the number of partial products. The two filters are modeled in VHDL, synthesized and place-and-routed. The filters are deployed on a development board to filter digital images. The resultant hardware is analyzed for speed and logic utilization
Hesham Altwaijry and Yasser Mohammad Seddiq, “Fir Filter Design Using The Signed-Digit Number System and Carry Save Adders – A Comparison” International Journal of Advanced Computer Science and Applications(IJACSA), 4(12), 2013. http://dx.doi.org/10.14569/IJACSA.2013.041208