Analysis filter bank and computing procedure thereof, analysis filter bank based signal processing system and procedure suitable for real-time applications

An analysis filter bank corresponding to a plurality of sub-bands, wherein the analysis filter bank performs frequency-division filtering on an input signal to generate a plurality of sub-band signals, the analysis filter bank comprising:

• a sub-band response pre-compensator, which performs linear filtering on the input signal to generate a response pre-compensated signal;
• a plurality of sub-filters with different central frequencies, which perform complex-type first-order infinite impulse response (IIR) filtering respectively on the response pre-compensated signal to generate a plurality of sub-filter signals;
• and
• a plurality of binomially-combining and rotating devices based on a set of binomial weights, each of which performs a weighted summation on at least two number of the sub-filter signals with the set of binomial weights, and rotates a result of the weighted-summation with a rotating phase according to a corresponding sub-band central frequency to generate one of the sub-band signals, or each of the binomially-combining and rotating devices rotates the at least two number of the sub-filter signals respectively with a rotating phase according to a corresponding sub-band central frequency and performs a weighted summation on at least two number rotating results with the set of binomial weights to generate one of the sub-band signals,
• wherein the at least two number of the sub-filter signals are generated by the at least two number of the sub-filters adjacent in central frequency;
• wherein the set of binomial weights is defined as a coefficient set of polynomial expansion of (1−x)M given by:
• BM,m=(−1)m·M!/m!(M−m)!, M≥1.0≤m≤M, and BM,m denotes the mth coefficient of the set of binomial weights.