Citation

Abstract

Motivated by recent advances in technology, a new look is taken at the problem of estimating the phase of a periodic waveform in additive gaussian noise. The maximum a posteriori probability criterion with signal space interpretation is used to obtain the structures of optimum and some suboptimum phase estimators for the following cases: (1) known constant frequency and unknown constant phase with an a priori distribution; (2) unknown constant frequency and phase with a joint a priori distribution, (3) frequency a parameterized function of time with a joint a priori distribution on parameters and phase; (4) frequency a gaussian random process. (Part I introduces the general problem and treats case 1). y(ft+ x) z(t) = y (ft + xy(t)) + AO)

Details

Volume
42-45
Published
June 15, 1978
Pages
152–164
File Size
1.1 MB