A near-perfect reconstruction tree-structured hybrid filter bank (HFB) was presented. The analog analysis filters to analyze input signals are not the low-pass, band-pass or high-pass filters designed by using conventional methods, but the tree-structured analog filters based on power complementary pairs,whose parameters were optimized by genetic algorithm. And the digital synthesis filters were implemented by means of the optimization method based on inverse fast Fourier transforms. 3rd-order and 5th-order analog power complementary filter pairs were designed for 4-channel tree-structure HFB. And length 63 FIR(finite impulse respouse) synthesis filters were implemented to ensure the near-perfect reconstruction. The HFB, which yields 1.06×10-7dB average deviation from 0dB distortion and -111dB average aliasing, is suitable for systems up to 15 bits resolution.
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