2D FIR Filter Research Articles

2D Zero-Phase FIR Filter Design with Nonuniform Frequency Sampling

In this paper, nonuniform frequency sampling techniques used in the design of two-dimensional zero-phase FIR filters are proposed and investigated. The design problem is treated as a bivariate interpolation problem with unevenly spaced data. The main idea is to select (find) sampling locations in the (ω1, ω2) frequency plane and corresponding sample values Hd(ω1k, ω2k) of the desired filter frequency response such that the designed filter performance is high. Although the filters designed with the proposed techniques are not optimal, the methods are conceptually simple and produce filters with high degree of shape regularity and approximation error comparable and sometimes even smaller than the conventional 2D FIR filter design methods.

2D ZERO-PHASE FIR FILTER DESIGN WITH NONUNIFORM FREQUENCY SAMPLING

In this paper, nonuniform frequency sampling techniques used in the design of two-dimensional zero-phase FIR filters are proposed and investigated. The design problem is treated as a bivariate interpolation problem with unevenly spaced data. The main idea is to select (find) sampling locations in the (ω1, ω2) frequency plane and corresponding sample values Hd(ω1k, ω2k) of the desired filter frequency response such that the designed filter performance is high. Although the filters designed with the proposed techniques are not optimal, the methods are conceptually simple and produce filters with high degree of shape regularity and approximation error comparable and sometimes even smaller than the "conventional" 2D FIR filter design methods.

Simple design and realisation of linear phase 2D FIR filters with diamond frequency support

A simple design method for linear-phase 2D FIR filters with diamond frequency support is proposed. The method is based on a 1D halfband linear-phase FIR filter design and offers some flexibility in the choice of specifications; the resulting realisation is efficient in terms of computational cost. A design example is also included.

Iterative reweighted least-squares design of FIR filters

Develops a new iterative reweighted least squares algorithm for the design of optimal L/sub p/ approximation FIR filters. The algorithm combines a variable p technique with a Newton's method to give excellent robust initial convergence and quadratic final convergence. Details of the convergence properties when applied to the L/sub p/ optimization problem are given. The primary purpose of L/sub p/ approximation for filter design is to allow design with different error criteria in pass and stopband and to design constrained L/sub 2/ approximation filters. The new method can also be applied to the complex Chebyshev approximation problem and to the design of 2D FIR filters. >

Design of 2D FIR digital filters by McClellan transformation and least squares eigencontour mapping

A powerful eigenfilter approach is proposed to determine the optimal coefficients of McClellan transformation. It can design arbitrary shape transformation contours to map from 1D prototypes to 2D FIR filters very effectively. This paper presents the design methods for 2D fan filters with general slope and inclination angle, elliptically symmetric filters of arbitrary orientation, circularly symmetric filters, and diamond-shaped filters. Several numerical examples are given to demonstrate the usefulness and the efficiency of the present method.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Fast block implementation of two-dimensional FIR digital filters by systolic arrays

A systolic block implementation is described of two-dimensional (2D) FIR and quarter-plane digital filters. Initially, a general 2D block realization model is presented, which does not assume any restricted relation with respect to the block lengths. A high degree of concurrency is achieved by exploiting the pipelining of the array processors in conjunction with the inherent parallelism of the block realization structures. The resulting systolic implementation is characterized by a high degree of modularity, regularity, repetitiveness and local communications and permits very high sampling rates. The increase of the block lengths of the implementation is analogous to the attained throughput rate, with respect to the cost of supporting hardware. The proposed systolic implementation is suitable for real-time image processing applications.

Active resistor networks as 2D sampled data filters

The use of resistor networks to implement 2D spatial IIR and FIR filters operating in real time is described. A correspondence is drawn between such networks and digital signal processors. A broad array of filtering functions can be realized using networks of positive resistors, voltage-controlled resistors, and negative resistors. The transfer functions effected by networks of this type are precisely defined, and the applications, limitations, and design of two-dimensional resistive mesh computers are discussed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>