SOO-CHANG PEIKao, M.-P.M.-P.KaoJIAN-JIUN DING2020-06-042020-06-04200502714310https://scholars.lib.ntu.edu.tw/handle/123456789/497045https://www.scopus.com/inward/record.uri?eid=2-s2.0-67649107526&doi=10.1109%2fISCAS.2005.1465017&partnerID=40&md5=bbca2cdb570bcf6f8da8da5723568457Most of the existing methods designed to implement fractional interpolation and decimation are limited by rational scaling factors such as L/M, where L and M are positive integers. The general procedure is usually done with up-sampling by L first, and then followed by down-sampling by M. This scheme, however, requires two steps to fulfill and is not capable in dealing with irrational scaling factors, which can not be represented by L/M. In this paper, we propose a new method to solve the above two difficulties by a single step. Furthermore, a perfect reconstruction filter bank is derived using this new method and the experimental results are presented. © 2005 IEEE.Decimation; Interpolation; Irrational scaling; Nonuniform filter bank; Perfect reconstructionDecimation; Downsampling; Existing method; Fractional interpolation; Irrational scaling; Nonuniform filter bank; Perfect reconstruction; Perfect reconstruction filter bank; Positive integers; Scaling factors; Single-step; Interpolation; Restoration; Filter banksA perfect reconstruction filter bank with irrational down-sampling factorsconference paper10.1109/ISCAS.2005.14650172-s2.0-67649107526