caa a22 4500 46798896X CHVBK 20180323112539.0 cr unu---uuuuu 170328e19900601xx s 000 0 eng 10.1007/BF02551363 doi (NATIONALLICENCE)springer-10.1007/BF02551363 Hilbert transforms from interpolation data [Elektronische Daten] [Philip Parker, Brian Anderson] This paper studies the construction of stable transfer functions for which the real or imaginary part takes prescribed values at discrete uniformly spaced points on the unit circle. Formulas bounding the error between a particular interpolating function and any function consistent with the data are presented; these have the desirable property that the error goes to zero exponentially fast with the number of interpolating points. The paper also examines construction of stable minimum phase transfer functions for which the magnitude takes prescribed values at uniformly spaced points on the unit circle, and presents error bounds for this problem. Connection with the discrete Hilbert transform is made. The effect of uncertainty in the original data is also examined, and we show that oversampling is possible. Springer-Verlag New York Inc, 1990 Hilbert transform nationallicence Gain-phase relations nationallicence Interpolation nationallicence Spectral factorization nationallicence Error bounds nationallicence Parker Philip Department of Systems Engineering, Research School of Physical Sciences, Australian National University, G.P.O. Box 4, 2601, Canberra, A.C.T., Australia aut Anderson Brian Department of Systems Engineering, Research School of Physical Sciences, Australian National University, G.P.O. Box 4, 2601, Canberra, A.C.T., Australia aut Mathematics of Control, Signals and Systems Springer-Verlag 3/2(1990-06-01), 97-124 0932-4194 3:2<97 1990 3 498 https://doi.org/10.1007/BF02551363 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02551363 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Parker Philip Department of Systems Engineering, Research School of Physical Sciences, Australian National University, G.P.O. Box 4, 2601, Canberra, A.C.T., Australia aut NATIONALLICENCE 700 1- Anderson Brian Department of Systems Engineering, Research School of Physical Sciences, Australian National University, G.P.O. Box 4, 2601, Canberra, A.C.T., Australia aut NATIONALLICENCE 773 0- Mathematics of Control, Signals and Systems Springer-Verlag 3/2(1990-06-01), 97-124 0932-4194 3:2<97 1990 3 498 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer