A novel approach to design optimal 2-D digital differentiator using vortex search optimization algorithm

Abstract

The designing of 2-D digital differentiator is multimodal and high dimensional problem which requires large number of differentiator coefficients to be optimized, hence conventional design techniques will not lead to optimal 2-D differentiator design. Metaheuristic approaches is a good approach to handle multimodal and high dimensional problem under consideration. In this paper, a novel method for the design of FIR two-dimensional (2-D) digital differentiator with quadrantally odd symmetric properties is proposed. The coefficients of 2-D digital differentiator are computed and optimized using vortex search optimization (VSO) algorithm with the support of L 1 error objective function. The unique combination of VSO and L 1 error fitness function aids in achieving flatter magnitude response in designing of 2-D differentiator. Further, some comparative analysis with the well-known established techniques like cuckoo search algorithm (CSA), particle swarm optimization (PSO) and real coded genetic algorithm (RCGA) methodology is reported over full frequency bands, in order to demonstrate the advantage of the proposed novel 2-D digital differentiator design approach. To measure the performance of proposed system, some parameters are selected for illustration such as absolute magnitude error, mean absolute error, standard deviation and execution time. The excellence of the proposed approach is observed in approximating the ideal response of 2-D differentiator in contrast to other algorithms and to provide global optimal solution.

An efficient VLSI architecture of 2‐D finite impulse response filter using enhanced approximate compressor circuits

“…In the paper, 5 exact circular symmetric contour‐based wideband 2‐D FIR filters are composed and explained using appropriate modifications in the Park–McClellan transformation technique. The fractional derivative constraints (FDCs)‐based and 2‐D L 1 method‐based quadrantal symmetric filters are represented by Aggarwal et al 6,7 Recently, Yadav et al 8 proposed an optimized 2‐D FIR filter‐based differentiator adopting a vortex search algorithm with quadrantal odd symmetry in the coefficients. The above‐stated works are exclusively converged on the design of the 2‐D FIR filters, but no architecture exploration is presented.…”