Please use this identifier to cite or link to this item: https://doi.org/10.1109/78.771036
Title: Improved weighted least squares algorithm for the design of quadrature mirror filters
Authors: Goh, C.-K.
Lim, Y.C. 
Ng, C.S. 
Issue Date: 1999
Source: Goh, C.-K., Lim, Y.C., Ng, C.S. (1999). Improved weighted least squares algorithm for the design of quadrature mirror filters. IEEE Transactions on Signal Processing 47 (7) : 1866-1877. ScholarBank@NUS Repository. https://doi.org/10.1109/78.771036
Abstract: This paper presents an improved weighted least squares (WLS) algorithm for the design of quadrature mirror filters (QMF's). First, a new term is incorporated into the objective function that effectively prevents an optimization algorithm from producing suboptimal QMF's. These suboptimal QMF's exhibit transition band anomaly; the frequency responses of the filters have large oscillatory components in the transition band. The new term can be applied to the WLS design of any FIR filter to prevent similar transition band anomaly. Next, we present the algorithm to obtain the QMF coefficients that minimizes the objective function incorporating the new term. The computational requirement of this algorithm is also briefly discussed. Last, we include a set of practical design rules for use with our algorithm. These rules simplify the design process by providing good estimation of the design parameters, such as the minimum filter length, to meet a given set of QMF specifications.
Source Title: IEEE Transactions on Signal Processing
URI: http://scholarbank.nus.edu.sg/handle/10635/62323
ISSN: 1053587X
DOI: 10.1109/78.771036
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