scholarly journals A novel analytical method for the selective multiplierless linear-phase 2D FIR filter function

2016 ◽  
Vol 29 (4) ◽  
pp. 689-700
Author(s):  
Jelena Djordjevic-Kozarov ◽  
Vlastimir Pavlovic
Keyword(s):  
Impulse Response ◽  
Chebyshev Polynomials ◽  
Analytical Method ◽  
Finite Impulse Response ◽  
Fir Filter ◽  
Two Dimensional ◽  
Linear Phase ◽  
Filter Function ◽  
New Class ◽  
Fundamental Research

In this paper, a novel analytical method for new class of selective linear-phase two-dimensional (2D) finite impulse response (FIR) filter functions generated by applying a new modified 2D Christoffel-Darboux formula for classical orthogonal Chebyshev polynomials of the first and the second kind is proposed. Fundamental research proposed in this paper is also illustrated by examples of 2D FIR filter and adequate comparison with new class of multiplierless linear-phase 2D FIR filter function given in the literature.

scholarly journals Shape of impulse response characteristics of linear-phase nonrecursive 2D FIR filter function

2013 ◽  
Vol 26 (2) ◽  
pp. 133-143
Author(s):  
Vlastimir Pavlovic ◽  
Dejan Milic ◽  
Jelena Djordjevic-Kozarov
Keyword(s):  
Surface Area ◽  
Impulse Response ◽  
Stop Band ◽  
Fir Filter ◽  
Pass Band ◽  
Linear Phase ◽  
Filter Function ◽  
Response Characteristics ◽  
New Class ◽  
The Given

An analytical method for the new class of linear-phase multiplierless 2D FIR filter functions generated by applying the Christoffel-Darboux formula for classical Chebyshev polynomials of the first and the second kind, proposed in [6] was used for designing of linear-phase multiplierless 2D FIR filter described in this paper. Correct transformation from continuous two-dimensional domain into the z domains without residuum and without errors is described. The proposed solution high selectivity is a filter function in the z1 domain, and the Hilbert transformer in the z2 domain. The impulse response coefficients of proposed 2D FIR filter functions are presented in this paper, and corresponding examples of impulse response are illustrated. The paper also presents detailed analysis of the size of pass-band and stop-band of proposed multiplierless linear-phase 2D FIR filter function. Normalized surface area of the filter function pass-band is 3.45789156 10-5 for given maximal attenuation of 0.28 dB. Normalized surface area of the filter function stop-band is 80.395% for the given minimal attenuation of 100 dB.

scholarly journals Transitional Selective Linear Phase 1D FIR Filter Function Generated by Christoffel-Darboux Formula for Chebyshev Polynomials

2014 ◽  
Vol 20 (4) ◽  
Author(s):  
V. D. Pavlovic ◽  
D. S. Antic ◽  
S. L. Peric ◽  
S. S. Nikolic ◽  
M. T. Milojkovic
Keyword(s):  
Chebyshev Polynomials ◽  
Fir Filter ◽  
Linear Phase ◽  
Filter Function

Low Power Transposed Form 4-Tap Finite Impulse Response Filter using Power Efficient Multiply Accumulate Unit

2021 ◽  
pp. 2250016
Author(s):  
S. Rakesh ◽  
K. S. Vijula Grace
Keyword(s):  
Low Power ◽  
Impulse Response ◽  
Speech Processing ◽  
Video Processing ◽  
Filter Design ◽  
Finite Impulse Response ◽  
Low Power Design ◽  
Fir Filter ◽  
Efficient Design ◽  
Power Efficient

Finite impulse response (FIR) filters find wide application in signal processing applications on account of the stability and linear phase response of the filter. These digital filters are used in applications, like biomedical engineering, wireless communication, image processing, speech processing, digital audio and video processing. Low power design of FIR filter is one of the major constraints that researchers are trying hard to achieve. This paper presents the implementation of a novel power efficient design of a 4-tap 16-bit FIR filter using a modified Vedic multiplier (MVM) and a modified Han Carlson adder (MHCA). The units are coded using Verilog hardware description language and simulated using Xilinx Vivado Design Suite 2015.2. The filter is synthesized for the 7-series Artix field programmable gate array with xc7a100tcsg324-1 as the target device. The proposed filter design showed an improvement of a maximum of 57.44% and a minimum of 2.44% in the power consumption compared to the existing models.

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