Recursive digital filter synthesis in the time domain

DSP Applications and Student Projects

“…This project designs and implements a filter based on a modified Prony's method [33][34][35][36]. This method is based on the correlation property of the filter's representation and does not require computation of any derivatives or an initial guess of the coefficient vector.…”

Prony, Padé, and Linear Prediction for Interpolation and Approximation in the Time and Frequency Domain Design of IIR Digital Filters and in Parameter Identification

“…The Matlab command invfreqz() which is an inverse to the freqz() command gives a similar or, perhaps, the same result as the method described in this note but uses a different formulation [14,16]. [60,61,62] A particularly interesting new Matlab program is iirlpnorm.m which allows the design of IIR filters with different degree numerator and denominators. It also allows use of an L p error minimization.…”

Overview of Digital Signal Processing Theory

“…Timedomain designs can deal only with an overall frequency specification including both amplitude and phase. Such a design technique is proposed by Brophy and Salazar [55]. Due to the nonlinear programming and related problems involved in the determination of filter coefficients for a frequency-domain design of a desired IIR digital filter, it is suggested that a time-domain design may be more natural.…”

“…54 A time-domain design technique proposed in Ref. 55 requires the determination of a target time sequence. The approximating filter is then forced by one of several techniques to have its unit-sample response approximate (in a least-squares sense) the target sequence.…”