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In this paper, we show that an NPR M -channel filter bank with a diagonal system inserted between the analysis and synthesis filter banks may be used to decompose an FIR system of order L into M complex subband components each of order L K , where K is the downsampling rate. This decomposition is at the expense of using complex arithmetic for the subband processing. The theory surrounding the proposed filter bank structure leads to a new understanding of subbanded adaptive filteringdoi:10.1109/tsp.2002.804068 fatcat:picdth5ko5cf3cizgsgivvg5za