10 citations · 17 across the 26 of their papers we have counts for
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Characterizations of families of rectangular finite impulse response, para-unitary systems
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz
We here study Finite Impulse Response (FIR) rectangular, not necessarily causal, systems which are (para)-unitary on the unit circle (=the class ). First, we offer thr…
Characterizations of rectangular (para)-unitary rational Functions
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz
We here present three characterizations of not necessarily causal, rational functions which are (co)-isometric on the unit circle: (i) Through the realization matrix of Schur stabl…
A new realization of rational functions, with applications to linear combination interpolation
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz +1
We introduce the following linear combination interpolation problem (LCI): Given distinct numbers and complex numbers and , find all…
Realizations of infinite products, Ruelle operators and wavelet filters
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz
Using the notions and tools from realization in the sense of systems theory, we establish an explicit and new realization formula for families of infinite products of rational matr…