Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
Xiang-Gen Xia , Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA
B.W. Suter , Dept. of Electr. & Comput. Eng., Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA
We study general vector filter banks where the input signals and transfer functions in conventional multirate filter banks are replaced by vector signals and transfer matrices, respectively. We show that multirate filter banks with block sampling and linear time invariant transfer functions studied by Khansari and Leon-Garcia (see IEEE Trans. on Signal Processing, vol.41, p.3365-3376, Dec. 1993) are special vector filter banks where the transfer matrices are pseudo-circulant. We then present necessary and sufficient conditions for the alias free property, FIR systems with FIR inverses, paraunitariness for vector filter banks. We also present a necessary and sufficient condition for paraunitary multirate filter banks with block sampling.<
band-pass filters, filtering theory, signal sampling, transfer function matrices, vectors
Xiang-Gen Xia and B. Suter, "Vector filter banks and multirate filter banks with block sampling," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 1020-1024.