Orthogonal rational functions on the unit circle : theory , applications and generalizations

  • Adhemar Bultheely, Pablo Gonz, alez-Veraz, Erik Hendriksenx
  • Published 1994


We give a survey of the basic theory of orthogonal rational functions with poles outside the unit disk. We give a motivation by linear prediction and signal processing applications. We include the basic theory of recurrence relations, Christooel-Darboux relations, reproducing kernels, associated functions and interpolation properties, para-orthogonal… (More)