Efficient Design Method for Modified DFT Modulated Filter Banks with Perfect Reconstruction

This paper presents an efficient iterativeLagrange multiplier approach to the design of Modified discreteFourier transform (MDFT) filter banks with perfect reconstruction. Thedesign is formulated as a quadratic constrained least squaresminimization problem, in which the constraint is reformulated as alinear form at each iteration. This approach is computationallyefficient and particularly suitable for designing MDFT filter bankswith a large number of channels. A MDFT filter bank with 1024 channelsis designed to demonstrate the efficiency of the new method.