Design of Full-Band and Low-Pass FIR Differentiators: A Comparative Study
Chafia Mekhnache, Youcef Ferdi, Abdelmalik Taleb‐Ahmed, Hichem Arioui, Rochdi Merzouki, Hadj Ahmed Abbassi · AIP conference proceedings · 2008
Digital differentiators are useful in many fields of sciences and engineering. They can be designed using two approaches, namely, FIR filters design and FIR filters design. This paper is concerned by the first one in which great interest in the design of digital differentiators has encouraged the development of various design methods. The widely used methods for FIR differentiators are those based on criteria L1, L2, L∞ and that based on Taylor series. A comparison between these methods is carried out in terms of approximation accuracy and computational complexity. Numeric examples are presented to illustrate the performance of each method. It was found that the design results obtained by least squares method for fullband and low‐pass differentiators are better than the other ones.