Fractional Delayer Utilizing Hermite Interpolation with Caratheodory Representation
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Date
2018-04
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Mark
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Společnost pro radioelektronické inženýrství
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Abstract
Fractional delay is indispensable for many sorts of circuits and signal processing applications. Fractional delay filter (FDF) utilizing Hermite interpolation with an analog differentiator is a straightforward way to delay discrete signals. This method has a low time-domain error, but a complicated sampling module than the Shannon sampling scheme. A simplified scheme, which is based on Shannon sampling and utilizing Hermite interpolation with a digital differentiator, will lead a much higher time-domain error when the signal frequency approaches the Nyquist rate. In this letter, we propose a novel fractional delayer utilizing Hermite interpolation with Caratheodory representation. The samples of differential signal are obtained by Caratheodory representation from the samples of the original signal only. So, only one sampler is needed and the sampling module is simple. Simulation results for four types of signals demonstrate that the proposed method has significantly higher interpolation accuracy than Hermite interpolation with digital differentiator.
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Radioengineering. 2018 vol. 27, č. 1, s. 335-341. ISSN 1210-2512
https://www.radioeng.cz/fulltexts/2018/18_01_0335_0341.pdf
https://www.radioeng.cz/fulltexts/2018/18_01_0335_0341.pdf
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Peer-reviewed
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en