Stochastic formulation of bandlimited signal interpolation

Author

Choi, Hyeokho ; Munson, David C., Jr.

Author_Institution

Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA

Volume

47

Issue

1

fYear

2000

fDate

1/1/2000 12:00:00 AM

Firstpage

82

Lastpage

85

Abstract

We formulate the problem of bandlimited signal interpolation within a stochastic framework. Existing literature on this subject is fragmented and requires deep knowledge of probability, functional analysis, and estimation theory. In addition, previous developments have not clarified the relationship between the theories for the stochastic and deterministic cases. We find that by formulating interpolation as a problem in linear estimation, several commonly used interpolation algorithms readily follow. This formulation of the signal interpolation problem is highly accessible to engineers and scientists having rudimentary knowledge of random processes

Keywords

bandlimited signals; interpolation; random processes; signal reconstruction; stochastic processes; bandlimited signal interpolation; linear estimation; random processes; stochastic formulation; Constraint optimization; Design optimization; Finite impulse response filter; IIR filters; Interpolation; Nonlinear filters; Robustness; Signal processing; Signal processing algorithms; Stochastic processes;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.818900

Filename

818900