The Digital Phase-Locked Loop as a Near-Optimum FM Demodulator

This paper presents an approach to the optimum digital demodulation of a continuous-time FM signal using stochastic estimation theory. The primary result is a digital phase-locked loop realization possessing performance characteristics that approach those of the analog counterpart. Some practical considerations are presented and simulation results for a first-order message model are presented.

[1]  S. C. Gupta,et al.  On Optimum Digital Phase-Locked Loops , 1968 .

[2]  J. R. Woodyard,et al.  Application of the Autosynchronized Oscillator to Frequency Demodulation , 1937, Proceedings of the Institute of Radio Engineers.

[3]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[4]  C. J. Byrne.  Properties and design of the phase-controlled oscillator with a sawtooth comparator , 1962 .

[5]  H. Kushner.  On the Differential Equations Satisfied by Conditional Probablitity Densities of Markov Processes, with Applications , 1964 .

[6]  Richard Van Blerkom,et al.  ADVANCED DIGITAL RECEIVER DESIGN STUDY. , 1966 .

[7]  P. Westlake.  Digital Phase Control Techniques , 1960 .

[8]  A. J. Viterbi,et al.  Optimum Coherent Phase and Frequency Demodulation of a Class of Modulating Spectra , 1964, IEEE Transactions on Space Electronics and Telemetry.

[9]  A. Viterbi.  Phase-locked loop dynamics in the presence of noise by Fokker-Planck techniques , 1963 .

[10]  Someshwara C. Gupta,et al.  Discrete-time demodulation of continuous-time signals , 1972, IEEE Trans. Inf. Theory.

[11]  G. Pasternack,et al.  Analysis and synthesis of a digital phase-locked loop for FM demodulation , 1968 .

[12]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[13]  Dante C. Youla.  The use of the method of maximum likelihood in estimating continuous-modulated intelligence which has been corrupted by noise , 1954, Trans. IRE Prof. Group Inf. Theory.

[14]  A. Jazwinski.  Stochastic Processes and Filtering Theory , 1970 .