A Class of Wide-Band Linear-Phase FIR Differentiators Using a Two-Rate Approach and the Frequency-Response Masking Technique
2011 (English)In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, ISSN 1549-8328, Vol. 58, no 8, 1827-1839 p.Article in journal (Refereed) Published
This paper introduces a class of wide-band linear-phase finite-length impulse response (FIR) differentiators. It is based on two-rate and frequency-response masking techniques. It is shown how to use these techniques to obtain all four types of linear-phase FIR differentiators. Design examples demonstrate that differentiators in this class can achieve substantial savings in arithmetic complexity in comparison with conventional direct-form linear-phase FIR differentiators. The savings achievable depend on the bandwidth and increase with increasing bandwidth beyond the break-even points which are in the neighborhood of 90% (80%) of the whole bandwidth for Type II and III (Type I and IV) differentiators. The price to pay for the savings is a moderate increase in the delay and number of delay elements. Further, in terms of structural arithmetic operations, the proposed filters are comparable to filters based on piecewise-polynomial impulse responses. The advantage of the proposed filters is that they can be implemented using non-recursive structures as opposed to the polynomial-based filters which are implemented with recursive structures.
Place, publisher, year, edition, pages
IEEE Press, 2011. Vol. 58, no 8, 1827-1839 p.
Differentiators, linear-phase FIR differentiators, minimax design, wide-band differentiators
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-70226DOI: 10.1109/TCSI.2011.2107270ISI: 000293713100013OAI: oai:DiVA.org:liu-70226DiVA: diva2:436994