A multi-rate filter bank including an anti-aliasing filter, a plurality of multiplier block modules, a folding block, and a data composer is disclosed. The anti-aliasing filter receives an anti-aliasing input signal. The multiplier block modules receive an original signal and sequentially generate a plurality of processed signals. The multiplier block modules also receive a plurality of block input signals and a select signal. Each of the multiplier block modules is configured into a decimation block or an expanding anti-aliasing filter according to the select signal. The folding block receives the select signal and a folding input signal and generates a folding block output signal. The data composer receives and composes the folding block output signal and the outputs of the multiplexer block modules and the anti-aliasing filter and generates an anti-aliasing filter output signal.
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