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In many applications such as wireless communications and subband adaptivefiltering, we need to design non-uniform filter banks (NUFB), which may lead tobetter performances and reduced hardware complexity when compared to uniformfilter bank. NUFB satisfying linear phase property for all the constituentfilters, are desirable in applications such as speech and image processing andin communication. This paper proposes a novel design of non-uniform modifieddiscrete fourier transform filter bank (MDFT FB). Here, each non-uniformchannel is obtained by merging the nearby channels of a uniform MDFT FB. Thereported works of non-uniform cosine modulated filter banks (CMFBs) do notsatisfy linear phase property for all the constituent filters. In this work, weintroduce the design of a non-uniform MDFT FB which satisfies linear phaseproperty for all the constituent filters. The proposed design of thenon-uniform MDFT FB is checked utilizing the alias cancellation among thechannels, distortion and flatness condition of the channels. A condition isderived to find the channels when merged with adjacent channels, will causealiasing in M channels. In the design and implementation of the proposednon-uniform MDFT FB, the structure of the uniform MDFT filter bank is preservedand hence all the advantages of MDFT FB over the DFT filter bank, areguaranteed. Hence without increasing the design complexity, the non-uniformMDFT FB is designed.

A Novel Design of Linear Phase Non-uniform Digital Filter Banks