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The problem of designing optimum filter banks for different applications is a popular research subject. It has also been shown that principal component filter banks (PCFB) are the optimum filter bank for many application. Existing methods to design FIR PCFBs are based on designing energy compaction filters. In this work we concentrate on designing FIR PCFBs with the same frequency response as the ideal one. The presented approach results in filter banks with a very good approximation of the ideal PCFB, as verified by simulations.