Splitting Magnitude Response into Real and Imaginary Parts

Shtrauss, Vairis; Kalpinsh, Aldis; Lomanovskis, Uldis

doi:10.1051/matecconf/201712505004

Cited by 1 publication

(1 citation statement)

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“…An advantage of ID method is that it effectively eliminates various effects, such as data truncation, rounding-off, etc., from which cannot be avoided by the frequency-domain methods. The identification method has been also used for constructing discrete-time algorithms for non-linear transforms, such as computing the real and imaginary parts [24,25] and the relaxation spectrum [26,27] from the magnitude response, where a non-linear transform is approximated by the convolution transform. A main drawback of the ID method often pointed out in the literature [17][18][19] is dependence of the filter coefficients on the pair of input and output functions chosen for the identification.…”

Section: Discrete-time Filters For Computing Convolution Transformsmentioning

confidence: 99%

Improving accuracy of FIR filters for computing convolution transforms for smooth non-bandlimited signals

Shtrauss

2019

MATEC Web Conf.

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We propose to improve the accuracy of FIR filters for computing convolution transforms for smooth non-bandlimited (NBL) signals by designing filters by the identification method with using a pair of bandlimited portions of the chosen NBL input and output signals related with each other by the given transform. A design example of type IV linear phase differentiator is presented, where filter coefficients are calculated from the bandlimited portions of the Cauchy pulse and its derivative. The performance of the designed differentiator is evaluated by comparing the accuracy of computed derivatives for several smooth NBL test signals, such as the Cauchy pulse, the Hilbert transform of Cauchy pulse, the Gaussian function, as well as for a bandlimited sinc-function. Evaluation results demonstrate that the proposed design method generates more accurate differentiators than the Parks-McClellan algorithm, the impulse response truncation method and the identification with using full-band Cauchy pulse and its derivative.

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