The Design and Application of Digital Filters

Wilson, D.R.; Corrall, D. R.; Mathias, R. F.

doi:10.1109/tieci.1973.5408887

Cited by 14 publications

(3 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…D IGITAL filters are essential elements of signal processing and have many applications in industrial electronics such as automatic control, communications engineering, and power system. A lot of papers on digital filters have been published in various journals [1]- [17], and the descriptions of digital filters are usually introduced in reference books [18]- [20]. According to the difference of structures, digital filters can be classified into two types; finite impulse response (FIR) filters [6], [14]- [17] and infinite impulse response (IIR) filters [2]- [5], [7]- [13].…”

Section: Introductionmentioning

confidence: 99%

Design of Multi-Band Digital Filters and Full-Band Digital Differentiators Without Frequency Sampling and Iterative Optimization

Nakamoto

Ohno

2014

IEEE Trans. Ind. Electron.

View full text Add to dashboard Cite

Most design problems of digital filters (or differentiators) are formulated with a set of grid point in the frequency region (frequency sampling). These problems are usually difficult to solve, and often require iterative optimization. The objective of this paper is to provide an efficient and simplified design approach to multi-band filters (including low-pass filters or high-pass filters) as well as full-band differentiators. The proposed method does not require frequency sampling and iterative optimization to compute the coefficients of the filters or that of the differentiators. The magnitude and phase specifications are simultaneously approximated, and the errors in the specified frequency bands are controlled by using frequency-weighting factors. In addition, a maximum pole radius, which corresponds to a stability margin, can be specified to robustly ensure the stability of the filters or the differentiators. To evaluate the efficiency of proposed method, we compare the proposed method with several established methods. Simulation results show that, although the propose method does not utilize frequency sampling and iterative optimization, the designed filters and differentiators have sufficient performance.

show abstract

Section: Introductionmentioning

confidence: 99%

Design of Multi-Band Digital Filters and Full-Band Digital Differentiators Without Frequency Sampling and Iterative Optimization

Nakamoto

Ohno

2014

IEEE Trans. Ind. Electron.

View full text Add to dashboard Cite

show abstract

“…Digital filters find wide variety of applications in modern digital signal processing systems [1,2]. As a result of the recent progress in such systems, there is an ever growing demand for sharp transition band digital filters.…”

Section: Introductionmentioning

confidence: 99%

Particle Swarm Optimization of Highly Selective Digital Filters over the Finite-Precision Multiplier Coefficient Space

Hashemi¹,

Nowrouzian²

2013

Digital Filters and Signal Processing

View full text Add to dashboard Cite

“…D IGITAL filters find wide variety of applications in modern digital signal processing systems [1], [2]. The practical design of digital filters usually makes recourse to an optimization step en route to satisfying a given set of stringent design specifications.…”

Section: Introductionmentioning

confidence: 99%

A Novel Discrete Particle Swarm Optimization for FRM FIR Digital Filters

Hashemi¹,

Nowrouzian

2012

JCP

View full text Add to dashboard Cite

This paper presents a novel discrete particle swarm optimization (PSO) for frequency response masking (FRM) finite impulse response (FIR) digital filters over the canonical signed-digit (CSD) multiplier coefficient space. A look-up table (LUT) scheme is employed to ensure that the PSO automatically searches through permissible CSD multiplier coefficient values in the course of optimization without any recourse to backtracking. This is achieved by searching through the indices of the CSD multiplier coefficient values in the LUT instead of the coefficient values themselves. In this way, the resulting multiplier coefficient values are ensured to conform to a prespecified wordlength as well as to a prespecified maximum number of non-zero digits. The salient feature of this LUT scheme is that by introducing barren layers in the LUT, there is no need to limit the search space manually in the course of PSO to prevent from going over the boundaries of the search space. Examples are given to illustrate the application of the proposed PSO to the design and optimization of a lowpass and a bandpass FRM FIR digital filters

show abstract

The Design and Application of Digital Filters

Cited by 14 publications

References 1 publication

Design of Multi-Band Digital Filters and Full-Band Digital Differentiators Without Frequency Sampling and Iterative Optimization

Design of Multi-Band Digital Filters and Full-Band Digital Differentiators Without Frequency Sampling and Iterative Optimization

Particle Swarm Optimization of Highly Selective Digital Filters over the Finite-Precision Multiplier Coefficient Space

A Novel Discrete Particle Swarm Optimization for FRM FIR Digital Filters

Contact Info

Product

Resources

About