2014/10/01 by Daniel Alpay, Alpay, Daniel, Palle E. T. Jørgensen +3
Computer Science · Engineering · Mathematics · #11C08 #11C20 #20H05 #26C05 #47A15 #47B35 #51F25 #93B20 #94A05 #94A08 #94A11 #94A12 #Complex Variables (math.CV) #Digital Filter Design and Implementation #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Mathematical Analysis and Transform Methods #Matrix Theory and Algorithms #Ultra-Wideband Communications Technology
paper · pdf · doi:10.48550/arxiv.1410.0280
openalex publication_date 2014/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We here study Finite Impulse Response (FIR) rectangular, not necessarily\ncausal, systems which are (para)-unitary on the unit circle (=the class\n\U). First, we offer three characterizations of these systems. Then,\nintroduce a %easy-to-use description of all FIRs in \U, as copies of\na real polytope, parametrized by the dimensions and the McMillan degree of the\nFIRs.\n Finally, we present six simple ways (along with their combinations) to\nconstruct, from any FIR, a large family of FIRs, of various dimensions and\nMcMillan degrees, so that whenever the original system is in \U, so\nis the whole family.\n A key role is played by Hankel matrices.\n