D7.1 Reflections on Levinson's Recursion
David S. Maze, Monson H. Hayes III · 1988
Levinson's recursion allows for the parameterization of an all-zero or an all-pole filter in terms of a sequence of reflection coefficients. Such a parameterization leads to a simple stability test for filters and serves as the foundation for the lattice filter structure. In this paper, we explore the properties of the mapping from the reflection coefficient sequence to the system function and show that, in many cases, they parallel the properties of the mapping from the filter coefficients to the system function.