Streamlining Digital Signal Processing 2012
DOI: 10.1002/9781118316948.ch28
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A Differentiator with a Difference

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Cited by 33 publications
(43 citation statements)
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“…Based on those results, we derive accurate formulas for estimating the optimal DFT lengths, which have not been reported before and differ from other works where optimal design refers to optimal overall filtering performance for fixed DFT and filter lengths [17], [18]. It will also be shown that, using optimal DFT lengths, that minimize the computational complexities (multiplication rates), the frequency-domain implementations become more efficient than the corresponding time-domain implementations for filter lengths that are shorter than those reported earlier in the literature [1], [3], [20].…”
Section: A Contributionsmentioning
confidence: 66%
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“…Based on those results, we derive accurate formulas for estimating the optimal DFT lengths, which have not been reported before and differ from other works where optimal design refers to optimal overall filtering performance for fixed DFT and filter lengths [17], [18]. It will also be shown that, using optimal DFT lengths, that minimize the computational complexities (multiplication rates), the frequency-domain implementations become more efficient than the corresponding time-domain implementations for filter lengths that are shorter than those reported earlier in the literature [1], [3], [20].…”
Section: A Contributionsmentioning
confidence: 66%
“…Consequently, each F kn (z M ) is here a constant, viz. F kn (z M ) = f k (n), and it then follows from ( 19), (20), and (29), that d n (q) can be written as…”
Section: B Overlap-savementioning
confidence: 99%
“…The main step of the proposed method of determining the envelope is to use a moving average, i.e., by replacing the samples in a defined time window with the local average calculated in this window. The window width was empirically selected and set to 5000, which gives the equivalent of 1.25 s, taking into account the sampling frequency of 4 kHz [ 27 ].…”
Section: Methodsmentioning
confidence: 99%
“…An important part of the demodulators is the discrete-time differentiators, which are normally FIR differentiators, to avoid distortion. A discrete-time differentiator structure suggested by Lyons (2007) was used in the implementation of the demodulator. This differentiator is described by the difference equation d ]…”
Section: Methodsmentioning
confidence: 99%