TY - GEN
T1 - A natural transfer function space for linear discrete time-invariant and scale-invariant systems
AU - Alpay, Daniel
AU - Mboup, Mamadou
PY - 2009/11/18
Y1 - 2009/11/18
N2 - In a previous work, we have defined the scale shift for a discrete-time signal and introduced a family of linear scale-invariant systems in connection with characterautomorphic Hardy spaces. In this paper, we prove a Beurling-Lax theorem for such Hardy spaces of order 2. We also study an interpolation problem in these spaces, as a first step towards a finite dimensional implementation of a scale invariant system. Our approach uses a characterization of character-automorphic Hardy spaces of order 2 in terms of classical de Branges Rovnyak spaces.
AB - In a previous work, we have defined the scale shift for a discrete-time signal and introduced a family of linear scale-invariant systems in connection with characterautomorphic Hardy spaces. In this paper, we prove a Beurling-Lax theorem for such Hardy spaces of order 2. We also study an interpolation problem in these spaces, as a first step towards a finite dimensional implementation of a scale invariant system. Our approach uses a characterization of character-automorphic Hardy spaces of order 2 in terms of classical de Branges Rovnyak spaces.
UR - http://www.scopus.com/inward/record.url?scp=70449429540&partnerID=8YFLogxK
U2 - 10.1109/NDS.2009.5196173
DO - 10.1109/NDS.2009.5196173
M3 - Conference contribution
AN - SCOPUS:70449429540
SN - 9781424427987
T3 - 2009 International Workshop on Multidimensional (nD) Systems, nDS 2009
BT - 2009 International Workshop on Multidimensional (nD) Systems, nDS 2009
T2 - 2009 International Workshop on Multidimensional (nD) Systems, nDS 2009
Y2 - 29 June 2009 through 1 July 2009
ER -