An analytical least square solution to the design problem of two-dimensional FIR filters with quadrantally symmetric or antisymmetric frequency response

1989 ◽  
Vol 36 (7) ◽  
pp. 968-979 ◽  
Author(s):  
M.O. Ahmad ◽  
J.-D. Wang
Keyword(s):  
Frequency Response ◽  
Design Problem ◽  
Least Square ◽  
Fir Filters ◽  
Two Dimensional

A New Algorithm for Non-Multiplier Approximation of Frequency Transformation for Two-Dimensional FRM Filters

2013 ◽  
Vol 339 ◽  
pp. 451-456
Author(s):  
Li Chen ◽  
Rong Hua Peng
Keyword(s):  
Computational Complexity ◽  
Frequency Response ◽  
Experimental Results ◽  
Fir Filters ◽  
Two Dimensional ◽  
Arithmetic Operations ◽  
Frequency Transformation ◽  
Stopband Attenuation

In this paper, non-multiplier approximation of frequency transformation is examined. 2-D frequency response marking filters with sum of powers-of-two (SOPOT) coefficients are designed. The numbers of adders allocated to transformation coefficients are determined in the experiments so that the resulting 2-D filters preserve the stopband attenuation of the original 1-D prototype filters. Experimental results of 2-D wideband FIR filters with low arithmetic operations and computational complexity are presented.

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