A method for eliminating aliasing in a sub band adaptive filtering system and the sub band adaptive filtering system without alias are provided to improve the performance of the sub band adaptive filtering system by removing an interband aliasing extracted from each sub band signal by using a bandwidth-increased linear phase FIR analysis filter. An input signal is passed through a plurality of sub-band analysis filters to remove the input signal passed through the unknown system. The passed input signal is classified into a plurality of sub-band signals. The sub-band signal is down-sampled. The down sampled sub band signal is passed through the corresponding sub band adaptive filter. An interband aliasing signal is extracted from the down sampled sub band signal. The interband aliasing signal extracted from the down sampled sub band signal is removed. An aliasing extraction filter extracts the interband aliasing signal from the down sampled sub band signal.
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