Paper Info
Title
Sufficient condition for invertibility of square FIR MIMO systems
Abstract
We derive a sufficient condition for a square FIR MIMO system to have a causal and stable IIR inverse. The condition requires that the spectral norm of the normalized channel impulse response (i.e., the first tap is the identity matrix) is below a certain bound. Intuitively, this means that the system has a strong first tap. This condition often is easier to check than the usual minimum-phaseness, where the roots of the systems determinant have to be computed. Simple approximations of the bound are found. Furthermore, we also give a negative result: the Wiener Filter, which approximates the inverse under low noise conditions, nevertheless always is non-causal. We apply our results to two inversion problems with causality and stability constraint. These problems arise in oversampled noise-shaping subband coding and residual interference cancellation in precoded systems, respectively.
Year
DOI
Venue
2010
10.1109/ICASSP.2010.5495876
ICASSP
Keywords
Field
DocType
FIR filters,IIR filters,MIMO communication,Wiener filters,encoding,interference suppression,transient response,IIR inverse,Wiener filter,causality constraint,channel impulse response,oversampled noise-shaping subband coding,residual interference cancellation,square FIR MIMO systems,stability constraint,Causality,Equalizers,IIR digital filters,MIMO Systems,Stability
Wiener filter,Inverse,Mathematical optimization,Infinite impulse response,MIMO,Matrix norm,Sub-band coding,Finite impulse response,Identity matrix,Mathematics
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
4
2
Name
Order
Citations
PageRank
Sander Wahls15817.32
Holger Boche22348265.41