Antipodal paraunitary matrices and their application to OFDM systems

Author

Phoong, See-May ; Chang, Kai-Yen

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

53

Issue

4

fYear

2005

fDate

4/1/2005 12:00:00 AM

Firstpage

1374

Lastpage

1386

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.

Keywords

OFDM modulation; computational complexity; matrix algebra; OFDM system; antipodal paraunitary matrix; computational complexity; filterbank; orthogonal frequency division multiplexing; precoding matrix; Adaptive filters; Adaptive signal processing; Costs; Error correction; Error correction codes; Multiaccess communication; Noise reduction; OFDM; Source coding; Spread spectrum communication; Antipodal paraunitary matrices; OFDM; filterbanks;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2005.843735

Filename

1408189