MIMO biorthogonal partners and applications

Author

Vrcelj, Bojan ; Vaidyanathan, P.P.

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

50

Issue

3

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

528

Lastpage

542

Abstract

Multiple input multiple output (MIMO) biorthogonal partners arise in many different contexts, one of them being multiwavelet theory. They also play a central role in the theory of MIMO channel equalization, especially with fractionally spaced equalizers. In this paper, we first derive some theoretical properties of MIMO biorthogonal partners. We develop conditions for the existence of MIMO biorthogonal partners and conditions under which FIR solutions are possible. In the process of constructing FIR MIMO biorthogonal partners, we exploit the nonuniqueness of the solution. This will lead to the design of flexible fractionally spaced MIMO zero-forcing equalizers. The additional flexibility in design makes these equalizers more robust to channel noise. Finally, other situations where MIMO biorthogonal partners occur are also considered, such as prefiltering in multiwavelet theory and deriving the vector version of the least squares signal projection problem

Keywords

FIR filters; MIMO systems; equalisers; least squares approximations; wavelet transforms; FIR solutions; MIMO biorthogonal partners; MIMO channel equalization; channel noise; flexible fractionally spaced MIMO zero-forcing equalizers; fractionally spaced equalizers; least squares signal projection problem; multiple input multiple output biorthogonal partners; multiwavelet theory; prefiltering; vector version; Digital communication; Equalizers; Finite impulse response filter; Least squares approximation; Least squares methods; MIMO; Noise robustness; Sampling methods; Space technology; Sufficient conditions;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.984730

Filename

984730