Matlab Based Design of Adaptive Filters Using Least Pth Norm: FIR vs IIR

Abstract

Adaptive filters are considered nonlinear systems; therefore their behavior analysis is more complicated than for fixed filters. As adaptive filters are self designing filters, their design can be considered less involved than in the case of digital filters with fixed coefficients. The paper discusses adaptive filters, adaptive filtering with various approaches, optimization methods, algorithms for a filter, IIR and FIR filter designs, in order to improve a prescribed performance criterion. Further least Pth norm approach is compared for both FIR and IIR filter. Since no specifications are available, the adaptive algorithm that determines the updating of the filter coefficients requires extra information that is usually given in the form of a signal. This signal is in general called a desired or reference signal, whose choice depends on the application. 

Sensorless control of high‐speed BLDC motor using equal area criterion based precise commutation scheme with Fuzzy based phase delay compensation

“…In proposed work, least Pth-Norm IIR filter has been implemented for back EMF extraction. 38,39,44 During the filtering, it is assured that there should be least phase delay between the precise commutation point (terminal voltage ZCP) and ZCP of filtered back EMF. Discrete transfer function of proposed least Pth-Norm IIR filter the with numerator of first order and denominator of second order can be given as,…”

“…IIR filters can provide similar magnitude response with fewer coefficients. In proposed work, least P th‐Norm IIR filter has been implemented for back EMF extraction 38,39,44 . During the filtering, it is assured that there should be least phase delay between the precise commutation point (terminal voltage ZCP) and ZCP of filtered back EMF.…”

“…Various soft (digital) filters have been in practice for low pass filtering of high frequency or noisy signals for original signal reconstruction. Least Pth-Norm filter 38,39 is simple and cost-effective digital low pass filter and involves accurate computation inside controller. This is best alternative to replace bulky analog filters and reduces space and component requirement.…”

Improved Heart Rate Measurement Accuracy by Reducing Artifact Noise from Finger Sensors Using Digital Filters

“…The smaller the mean square error, but the slower the processing time, the higher the rank of the filter. Coefficient regulators in adaptive filters can respond to changing environmental circumstances and system modifications [20][21] [22]. Butterworth filters have a passband amplitude response that is almost flat (maximally flat) with no ripple, making them superior to Chebyshev and Elliptic filters, which are also frequent filter designs.…”