Efficient Design of Fixed Point Digital FIR Filters by Using Differential Evolution Algorithm

2005 ◽  
pp. 812-819 ◽  
Author(s):  
Nurhan Karaboğa ◽  
Bahadır Çetinkaya
Keyword(s):  
Fixed Point ◽  
Differential Evolution ◽  
Differential Evolution Algorithm ◽  
Fir Filters ◽  
Efficient Design ◽  
Evolution Algorithm ◽  
Digital Fir Filters

scholarly journals Differential Evolution under Fixed Point Arithmetic and FP16 Numbers

2021 ◽  
Vol 26 (1) ◽  
pp. 13
Author(s):  
Luis Gerardo de la Fraga
Keyword(s):  
Fixed Point ◽  
Differential Evolution ◽  
Differential Evolution Algorithm ◽  
C Programming Language ◽  
Fixed Point Arithmetic ◽  
C Programming ◽  
Evolution Algorithm ◽  
Power Storage ◽  
Point Arithmetic ◽  
Dedicated Hardware

In this work, the differential evolution algorithm behavior under a fixed point arithmetic is analyzed also using half-precision floating point (FP) numbers of 16 bits, and these last numbers are known as FP16. In this paper, it is considered that it is important to analyze differential evolution (DE) in these circumstances with the goal of reducing its consumption power, storage size of the variables, and improve its speed behavior. All these aspects become important if one needs to design a dedicated hardware, as an embedded DE within a circuit chip, that performs optimization. With these conditions DE is tested using three common multimodal benchmark functions: Rosenbrock, Rastrigin, and Ackley, in 10 dimensions. Results are obtained in software by simulating all numbers using C programming language.

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