TY - GEN
T1 - A two channel approach for system approximation with general measurement functionals
AU - Monich, Ullrich J.
AU - Boche, Holger
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/8/4
Y1 - 2015/8/4
N2 - The approximation of linear time-invariant (LTI) systems by sampling series is an important topic in signal processing. However, the convergence of the approximation series is not guaranteed: there exist stable LTI systems and bandlimited input signals such that the approximation series diverges, regardless of the oversampling factor and the sampling pattern. Recently, it has been shown that this divergence can be overcome by using measurement functionals instead of pointwise sampling. However, the bandwidth of the approximation series needs to be strictly larger than the signal bandwidth. In this paper we derive a two channel system approximation approach based on measurement functionals that converges for all stable LTI systems and all signals in the Paley-Wiener space PWπ1. Thanks to the two channel structure it is possible to achieve an approximation bandwidth that is equal to the signal bandwidth.
AB - The approximation of linear time-invariant (LTI) systems by sampling series is an important topic in signal processing. However, the convergence of the approximation series is not guaranteed: there exist stable LTI systems and bandlimited input signals such that the approximation series diverges, regardless of the oversampling factor and the sampling pattern. Recently, it has been shown that this divergence can be overcome by using measurement functionals instead of pointwise sampling. However, the bandwidth of the approximation series needs to be strictly larger than the signal bandwidth. In this paper we derive a two channel system approximation approach based on measurement functionals that converges for all stable LTI systems and all signals in the Paley-Wiener space PWπ1. Thanks to the two channel structure it is possible to achieve an approximation bandwidth that is equal to the signal bandwidth.
KW - approximation
KW - bandlimited signal
KW - linear time-invariant system
KW - measurement functional
KW - two channel approach
UR - http://www.scopus.com/inward/record.url?scp=84946068412&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2015.7178698
DO - 10.1109/ICASSP.2015.7178698
M3 - Conference contribution
AN - SCOPUS:84946068412
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3881
EP - 3885
BT - 2015 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015
Y2 - 19 April 2014 through 24 April 2014
ER -