Title :
Maximally flat low-pass digital differentiator
Author :
Selesnick, Ivan W.
Author_Institution :
Dept. of Electr. Eng., Polytech. Univ. Brooklyn, NY, USA
fDate :
3/1/2002 12:00:00 AM
Abstract :
This paper describes the design of type III and type IV linear-phase finite-impulse response (FIR) low-pass digital differentiators according to the maximally flat criterion. We introduce a two-term recursive formula that enables the simple stable computation of the impulse response coefficients. The same recursive formula is valid for both Type III and Type IV solutions
Keywords :
FIR filters; differentiating circuits; digital filters; frequency response; linear phase filters; low-pass filters; transfer functions; FIR digital differentiators; automatic sum simplification; frequency response; impulse response coefficients; low-pass filter; low-pass linear-phase differentiators; maximally flat criterion; polynomials; simple stable computation; transfer function; two-term recurrence relation; type III differentiators; type IV differentiators; Algorithm design and analysis; Cutoff frequency; Digital filters; Engineering profession; Finite impulse response filter; Frequency response; Least squares approximation; Least squares methods; Linear approximation; Low pass filters;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
DOI :
10.1109/TCSII.2002.1013869
