Many digital signal processing (DSP) systems tend to have a very high computational complexity when they target a large part of the Nyquist band. This corresponds to a wide-band system with one or several so called don’t-care bands approaching zero. Examples of such systems include frequency selective filters, fractional-delay filters, and differentiators. This chapter considers finite-length i...

The recursive algorithm for the impulse response coefficients of FIR filters with maximally flat specifications [4] was recently developed. Based on differential equation for the almost equiripple specifications [2] a similar recursion is derived and presented in this paper. Both backward recursions give an explicit access to the evaluation of asymptotic values to which the impulse response coe...

In this communication, we have made an attempt to design multiplier-less low-pass finite impulse response (FIR) filter with the aid of various mutation strategies of Differential Evolution (DE) algorithm. Impulse response coefficient of the designed FIR filter has been represented as sums or differences of powers of two. Performance of the proposed filter has been evaluated in terms of its freq...

The polynomial-based interpolation is that it can be efficiently implemented using the so called Farrow structure. This discrete-time filter structure consists of Finite Impulse Response (FIR) branch filters having fixed coefficient values. The interpolated samples are obtained by weighting the output samples of these FIR filters by the fractional interval m. In this paper, a new method for des...

This paper presents a novel simple method for the direct design of low-pass minimum-phase (MP) filters. The method is based on a linear-phase (LP) finite impulse response (FIR) prototype, sharpening and IFIR (interpolated finite impulse response) techniques, usually used for the design of LP filters. As a result, a more complex minimum phase filter can be designed by using less complex filters....

We present an algorithmic approach to the design of low-power frequency-selective digital filters based on the concepts of adaptive filtering and approximate processing. The proposed approach uses a feedback mechanism in conjunction with wellknown implementation structures for finite impulse response (FIR) and infinite impulse response (IIR) digital filters. Our algorithm is designed to reduce ...

A general parameter (GP) extension to expand the applicability of discrete time finite impulse response (FIR) filters designed for sinusoidal or polynomial signal prediction while attenuating white noise is proposed. These FIR filters are simple and powerful linear methods for filtering, predicting and modeling many real world phenomena. With only a single adaptive GP, it is computationally eff...

The frequency-response masking approach for highspeed recursive infinite-impulse response (IIR) digital filters is introduced. In this approach, the overall filter consists of a periodic model filter, its power-complementary periodic filter, and two masking filters. The model filters are composed of two all-pass filters in parallel, whereas the masking filters are linear-phase finite-impulse re...

The analysis of eye-movement (EM) signals poses problems for the designer of smoothing filters since many of the interesting types of EMs are bimodal. For example, optokinetic and/or vestibular stimulation results in an EM pattern called nystagmus consisting of alternating fast- and slow-phase components. Also, saccadic (refixation) EMs do not occur continuously, but are interspersed with perio...

Optimal or unbiased estimators are widely used for state estimation and tracking. We propose a new minimum variance unbiased (MVU) finite impulse response (FIR) filter which minimizes the estimation error variance in the unbiased FIR (UFIR) filter. The relationship between the filter gains of the MVU FIR, UFIR and optimal FIR (OFIR) filters is found analytically. Simulations provided using a po...