Design of Adjustable Square-Shaped 2D IIR Filters

This paper proposes an analytical design method for two-dimensional square-shaped IIR filters. The designed 2D filters are adjustable since their bandwidth and orientation are specified by parameters appearing explicitly in the filter matrices. The design relies on a zero-phase low-pass 1D prototype filter. To this filter a frequency transformation is next applied, which yields a 2D filter with the desired square shape in the frequency plane. The proposed method combines the analytical approach with numerical approximations. Since the prototype transfer function is factorized into partial functions, the 2D filter also will be described by a factorized transfer function, which is an advantage in implementation.

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Gaussian Circular 2D FIR Filters Designed Using Analytical Approach

WSEAS TRANSACTIONS ON SIGNAL PROCESSING ◽

10.37394/232014.2020.16.14 ◽

2020 ◽

Vol 16 ◽

Keyword(s):

Analytical Approach ◽

Design Procedure ◽

Peak Frequency ◽

Fir Filters ◽

Chebyshev Series ◽

Analytical Design ◽

Frequency Transformation ◽

Low Pass ◽

Band Pass ◽

2D Fir Filters

This paper proposes an analytical design procedure for a particular class of 2D filters, namelyGaussian-shaped, circularly-symmetric FIR filters. We approach both low-pass and band-pass circular filters,which are adjustable in selectivity and peak frequency. The design starts from a given 1D Gaussian prototypefilter, approximated using the Chebyshev series. A frequency transformation is applied to derive the circularfilter. Several design examples are provided for both types of filters. The filters designed through this methodare efficient, their frequency response results in a factored or nested form, convenient for implementation.

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Z Transformation by Pascal Matrix and its Applications in the Design of IIR Filters

Journal of Applied Research and Technology ◽

10.22201/icat.16656423.2011.9.03.430 ◽

2011 ◽

Vol 9 (03) ◽

Author(s):

F. J. García-Ugalde ◽

B. Psenicka ◽

M.O. Jiménez-Salinas

Keyword(s):

Transfer Function ◽

Continuous Time ◽

Direct Method ◽

Time Transfer ◽

Iir Filters ◽

Pascal Matrix ◽

Low Pass ◽

Z Transformation ◽

A Direct Method

In this work, we summarize a direct method to transform the low-pass continuous-time transfer function

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Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming

Journal of Electrical and Computer Engineering ◽

10.1155/2015/304174 ◽

2015 ◽

Vol 2015 ◽

pp. 1-8

Author(s):

Yasunori Sugita

Keyword(s):

Transfer Function ◽

Digital Filters ◽

Design Method ◽

Infinite Impulse Response ◽

Linear Matrix ◽

Linear Phase ◽

Iir Filters ◽

Matrix Equality ◽

Iir Digital Filters ◽

The Stability

This paper presents a design method of Chebyshev-type and inverse-Chebyshev-type infinite impulse response (IIR) filters with an approximately linear phase response. In the design of Chebyshev-type filters, the flatness condition in the stopband is preincorporated into a transfer function, and an equiripple characteristic in the passband is achieved by iteratively solving the QP problem using the transfer function. In the design of inverse-Chebyshev-type filters, the flatness condition in the passband is added to the constraint of the QP problem as the linear matrix equality, and an equiripple characteristic in the stopband is realized by iteratively solving the QP problem. To guarantee the stability of the obtained filters, we apply the extended positive realness to the QP problem. As a result, the proposed method can design the filters with more high precision than the conventional methods. The effectiveness of the proposed design method is illustrated with some examples.

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Design of IIR Digital Filter Based on FPGA

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.427-429.1968 ◽

2013 ◽

Vol 427-429 ◽

pp. 1968-1971

Author(s):

Hui Zhang ◽

Kun Yang ◽

Si Ming He ◽

Jun Li

Keyword(s):

Transfer Function ◽

Digital Filter ◽

Hardware Implementation ◽

Design Method ◽

Schematic Diagram ◽

Practical Applications ◽

Iir Filters ◽

Iir Filter ◽

Parameterized Design ◽

Diagram Design

From the request of practical applications,according to the basic theory of IIR filters, a scheme of hardware implementation is worked out combining with the fact that coefficients of numerator and denominator of transfer function are fixed and the structural feature of selected FPGA. From the clew of implementing stratified ,modularized and parameterized design ,the thesis describes the hardware implementation of the IIR filter with VHDL and schematic diagram design method.

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An effective technique for the synthesis of an equiripple low pass prototype filter with asymmetric frequency response and arbitrary transfer function zeros

10.1109/euma.1995.337055 ◽

1995 ◽

Cited By ~ 10

Author(s):

Giuseppe Macchiarella

Keyword(s):

Transfer Function ◽

Frequency Response ◽

Effective Technique ◽

Prototype Filter ◽

Low Pass ◽

Function Zeros

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A class of circularly-symmetric CNN spatial linear filters

Facta universitatis - series Electronics and Energetics ◽

10.2298/fuee0602299m ◽

2006 ◽

Vol 19 (2) ◽

pp. 299-316 ◽

Cited By ~ 1

Author(s):

Radu Matei ◽

Liviu Goraş

Keyword(s):

Neural Networks ◽

Design Method ◽

Peak Frequency ◽

Linear Filters ◽

Frequency Transformation ◽

Biomedical Image ◽

Prototype Filter ◽

Low Pass ◽

Band Pass ◽

Simulation Results

This paper proposes a simple and efficient method for designing a class of circularly-symmetric spatial linear filters implemented on cellular neural networks. The design method relies on a so-called 1-D prototype filter, with desired characteristics and on a 1-D to 2-D spatial frequency transformation. Several design examples are given, for 2-D low-pass and band-pass filters (both of FIR and IIR type) with imposed cut-off or peak frequency and a specified selectivity. Finally, simulation results are provided, on a real grayscale biomedical image.

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