Antipodal Paraunitary Matrices and Their Application to OFDM Systems
Journal
IEEE Transactions on Signal Processing
Journal Volume
53
Journal Issue
4
Pages
1374-1386
Date Issued
2005
Date
2005
Author(s)
Chang, Kai-Yen
Abstract
Paraunitary (PU) matrices and filterbanks have played an important role in many applications. This paper studies a special class of PU matrices, called antipodal paraunitary (APU) matrices. APU matrices are PU matrices whose coefficient matrices consist of ±1 only. Several new methods will be introduced for the construction of APU matrices. In particular, a new method based on the butterfly structure that has a low cost implementation is proposed. Moreover, one application of APU matrices in precoded orthogonal frequency division multiplexing (OFDM) systems will be considered. By using an APU precoding matrix, the complexity will be very low, and experiments show that the use of APU matrices can greatly enhance the performance. © 2005 IEEE.
Subjects
Antipodal paraunitary matrices; Filterbanks; OFDM
Other Subjects
Computational complexity; Computer simulation; Digital filters; Discrete Fourier transforms; Matrix algebra; Monte Carlo methods; Polynomials; Signal receivers; Z transforms; Antipodal paraunitary matrices; Filterbanks; Orthogonal frequency division multiplexing
Type
journal article
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