Showing math.CVShow all
3 papers · 1 filter
math.CV2022
Discrete Wiener Algebra in the Bicomplex Setting, Spectral Factorization with Symmetry, and Superoscillations
Daniel Alpay, Izchak Lewkowicz, Mihaela Vajiac
In this paper we present parallel theories on constructing Wiener algebras in the bicomplex setting. With the appropriate symmetry condition, the bicomplex matrix valued case can b…
math.CV2014
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…
math.CV2014
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…