Title :
On the construction of a digital transfer function from its real part on unit circle
Author :
Vaidyanathan, P.P. ; Mitra, S.K.
Author_Institution :
University of California, Santa Barbara, CA
Abstract :
It is shown in this correspondence that the system function H(z) of a linear time invariant (LTI) causal digital filter with real impulse response coefficients can be obtained from the real part of its frequency response HR(ejω) given in the form of a rational trigonomentric function, using algebraic methods rather than complex contour integration techniques.
Keywords :
Continuous time systems; Convergence; Digital filters; Discrete time systems; Discrete transforms; Frequency response; Impedance; Mirrors; Polynomials; Transfer functions;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1982.12263
