基于总体最小二乘法的混合滤波器组误差补偿算法-信息工程大学学报.pdf

第 11 卷第 6 期 信息工程大学学报 Vo l. 11 No.6 2010 年 12 月 Journal of Information Engineering University Dec.20 1O 基于总体最小二乘法的混合滤波器组误差补偿算法 蔡振浩，于宏毅，刘 洋 (信息工程大学信息工程学院，河南郑州 450002) 摘要:模拟分析滤波器的实现误差以及各子带间的增益、相位失配误差的存在都将影响混合滤 波器组(HFB) 的完美重构效果。针对以往矫正方法对信号源稳定度要求高、调试复杂的缺 点，提出一种模数混合的 HFB 失配误差矫正系统结构。利用伪随机噪声覆盖信号全谱且功率 谱密度为常数的特点作为矫正信号源，根据其二阶统计量计算期望的补偿器频域响应。提出 一种新的基于总体最小二乘(TLS) 算法的 IIR 形式补偿器设计方法，推导了以 IIR 滤波器系数 为未知变量的线性方程组，并利用 TLS 算法有效抑制设计误差以及量化噪声等扰动因素影 响，优化滤波器系数，减小失配误差影响。仿真结果表明该算法的结构简单、易于实现，同时能 有效改善 HFB 的重构效果。 关键词:总体最小二乘;混合滤波器组;增益误差 中图分类号:TN91 1. 72 文献标识码:A 文章编号:1671 -0673(2010)06 -0719 -05 Hybrid Filter Banks Compensation Design Using Total Least Squares Solution CAI Zhen-hao , YU Hong-yi , LIU Yang (Institute of Infonnation Engineer吨， Information Engineering University , Zhengzhou 450002 , China) Abstract: The problems caused by analogy analysis filters realization error and gain phase error usu- ally impact the reconstruction performance of the hybrid filter banks (HFB). A novel approach for designing analogy-digital compensator system is given to replace the old method which is ve叮 com­ plicated and need higher stabilized signal recourse. The additive Gaussian white noise is used as the input signal and calculating the transform of compensator utilizing the property of power spectrum density is a constant and throughout the whole spectrum. A novel criterion for designing IIR-type compensator based on Total Least Squares (TLS) is proposed , which can optimize the coefficients of filters. The disturbers which caused by realization and random noise can be restrained by means of t