Optimal filter design for sampling pattern conversion

P. Siohan
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Abstract

Summary form only given. Two types of spatial sampling patterns, one with an orthogonal structure and one having a quincunx structure, both related by two parameters, L and K, with integer values, have been investigated. The following results have been obtained: (1) the definition of a family of diamond-shaped filters having an ideal shape for an up- or down-sampling conversion with given parameters L and K; (2) the determination of a set of constraints in the frequency domain and their equivalent in the spatial domain for linear-phase 2D finite-impulse-response (FIR) digital filters; (3) the design of 2D FIR filters with specifications and constraints depending on the parameters L and K; (4) the presentation with a zone plane of the distortion introduced by the sampling pattern conversion for various values of L and K; and (5) the cascading of two sampling pattern conversions in order to convert a (L/sub 1/, K/sub 1/) quincunx structure into a (L/sub 2/, K/sub 2/) quincunx structure.<>
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采样模式转换的优化滤波器设计
只提供摘要形式。研究了两种空间采样模式,一种是正交结构,另一种是正交结构,这两种模式都是由整数参数L和K联系起来的。得到了以下结果:(1)在给定参数L和K的情况下,具有理想上采样或下采样转换形状的菱形滤波器族的定义;(2)确定线性相位二维有限脉冲响应(FIR)数字滤波器的一组频域约束及其空间等效约束;(3)根据参数L和K设计具有规格和约束的二维FIR滤波器;(4)用带平面表示对不同的L和K值进行采样模式转换所引起的畸变;(5)两个采样模式转换的级联,以便将(L/sub 1/, K/sub 1/) quincunx结构转换为(L/sub 2/, K/sub 2/) quincunx结构
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