Fractional order self-adaptation signal processor based on fractional order steepest descent method

Abstract

A fractional order self-adaptation signal processor based on a fractional order steepest descent method provided by the invention is a fractional order self-adaptation training processer which performs fractional order extremum search to the signal quadric form energy functional. The invention relates to the order v of fractional order calculus, which is not the conventional integral order, but a non-integral order, a fraction or a rational decimal fraction is generally taken in the engineering application. The self-adaptation signal processor is formed by a -v power square power device, a 1-v power square power device, a 2-v power square power device, a mu generator, a multiplying unit I, a multiplying unit II, a multiplying unit III and an adder in a cascading manner. The fractional order self-adaptation signal processor has the significant advantage of capability of performing fractional order extremum search to the signal quadric form energy functional. A filter is particularly suitable for the applications of fractional order self-adaptation signal processing and fractional order self-adaptation control. The processor belongs to the technical field of applied mathematics, digital signal processing and digital circuit interdisciplinary branches of science.

Description

technical field [0001] The fractional-order adaptive signal processor based on the fractional-order steepest descent method proposed by the present invention is a fractional-order adaptive training and processor for performing fractional-order extremum search on the signal quadratic energy functional. The order v of the fractional calculus involved in the present invention is not a traditional integer order, but a non-integer order, and generally takes fractions or rational decimals in engineering applications. See figure 1 , the fractional order adaptive signal processor adopts -v power generator 2, 1-v power power device 3, 2-v power power device 4, μ generator 5, multiplier one 6, The second multiplier 7, the third multiplier 8 and the adder 9 are formed in a cascaded manner. The fractional-order adaptive signal processor has the remarkable advantage of being able to search for the fractional-order extremum of the quadratic energy functional of the signal. The filter is ...

AI Technical Summary

Problems solved by technology

It is difficult to deal with some nonlinear, non-causal, non-minimum phase systems, non-Gaussian, non-stationary, non-integer dimensional (fractal) signals and non-white additive noise, etc.

Images