tailieunhanh - 36 Filter Bank Design

The interest in digital filter banks has grown dramatically over the last few years. Owing to the trend toward lower cost, higher speed microprocessors, digital solutions are becoming attractive for a wide variety of applications. | Arrowood J. Randolph T Smith . Filter Bank Design Digital Signal Processing Handbook Ed. Vijay K. Madisetti and Douglas B. Williams Boca Raton CRC Press LLC 1999 1999 by CRC Press LLC 36 Filter Bank Design Joseph Arrowood Georgia Institute of Technology Tami Randolph Georgia Institute of Technology Mark . Smith Georgia Institute of Technology Filter Bank Equations The AC Matrix Spectral Factorization Lattice Implementations Time-Domain Design Finite Field Filter Banks Nonlinear Filter Banks References The interest in digital filter banks has grown dramatically over the last few years. Owing to the trend toward lower cost higher speed microprocessors digital solutions are becoming attractive for a wide variety of applications. Filter banks allow signals to be decomposed into subbands often facilitating more efficient and effective processing. They are particularly visible in the areas of image compression speech coding and image analysis. The desired characteristics of a subband decomposition will naturally vary from application to application. Moreover within any given application there are a myriad of issues to consider. First one might consider whether to use FIR or IIR filters. IIR designs can offer computational advantages while FIR designs can offer greater flexibility in filter characteristics. In this chapter we focus exclusively on FIR design. Second one might identify the time-frequency or space-frequency representation that is most appropriate. Uniform decompositions and octave-band decompositions are particularly popular at present. At the next level characteristics of the analysis filters should be defined. This involves imposing specifications on the analysis filter passband deviations transition bands and stopband deviations. Alternately or in addition time domain characteristics may be imposed such as limits on the step response ripples and degree of regularity. One can consider similar constraints for the synthesis filters. .