THESIS
2002
xi, 61 leaves : ill. ; 30 cm
Abstract
The focus of our research was the design of induced norm optimal two-channel multirate filter banks using LMIs. In our research the l
2 norm, L
∞ norm and H
∞ norm were used as the design criteria for two-channel filter bank design.
2 ∞ ∞...[
Read more ]
The focus of our research was the design of induced norm optimal two-channel multirate filter banks using LMIs. In our research the l
2 norm, L
∞ norm and H
∞ norm were used as the design criteria for two-channel filter bank design.
To design QMF banks, we optimized the stopband attenuation level of the individual subband filter, the allowable maximal ripple size of the reconstruction error, and the l
2 norm of the impulse response sequence of the FIR lowpass filter. The constraints for the three minimization objectives were converted into LMIs.
The H
∞ norm was employed when the multirate filter bank design problem was converted into a model-matching design problem. The H
∞ optimal model-matching design problem was converted to a series of LMIs.
The above LMI constrained optimization problems were solved by semi-definite programmings.
The solutions of the l
2 and L
∞ norm optimal design were globally optimal. The most attractive part of the H
∞ optimization result was the stable two-channel filter banks where the passband of the IIR synthesis subband filter was nearly linear phase; the analysis subband filter was an exactly linear phase FIR or a nearly linear phase IIR filter. As a result, the overall filter banks were approximately linear phase. The magnitude, phase and aliasing distortions were all incorporated in the H
∞ optimal design procedure.
Post a Comment