Two-Channel QMF Bank Design and Optimization – Two Different Approaches
Date Issued
2007
Date
2007
Author(s)
Chuah, Seong-Ping
DOI
en-US
Abstract
The two-channel quadrature mirror filter bank design problems are studied in this thesis. Tow different methods for designing a near perfect reconstruction low-order IIR filter bank and a near orthogonal linear phase FIR filter bank are proposed and compared.
In the near perfect reconstruction low-order IIR filter bank design, the quadrature mirror filter bank design problem is first converted to an equalizer design optimization problem and described in the polyphase representation, so the optimization variables and coefficients are reduced by half, and significant reduction
of computation load is achieved for high-order system. The quadrature mirror filter bank delay in the optimization problem is selected based on the result of a least square
estimation problem. High-order optimal FIR solutions are then obtained from the H2/H∞/mixed-norm minimization problems in the linear matrix inequality framework.
Finally, approximate low-order IIR solutions are obtained by applying the balanced realization and model order reduction techniques.
In the near orthogonal linear phase FIR filter bank design, the filter bank design is first reduced to an FIR lowpass filter design problem. The FIR lowpass filter design problem is then formulated as an optimization problem with soft constraints corresponding to the multiple objectives to fulfill. Constraints for each objective are derived from its error norm. The optimization problem is then formulated in the linear
matrix inequality framework so that it can be solved efficiently by the currently available software.
Subjects
雙通道正交鏡像濾
波器組
完美重建
線性相位
正交性
延遲值選擇
多相位分析
線性矩陣不
等式
H2/H∞/混合範數
最佳化
軟性限制最佳化
平衡實現
降
階演算法
quadrature mirror filter bank
perfect reconstruction
linear phase
orthogonality
delay selection
polyphase analysis
linear matrix inequality
H2/H∞-norm optimization
soft constraint optimization
balanced realization
model order reduction
Type
thesis
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