Phase Demodulation: A Nonlinear Filtering Approach

The paper studies nonlinear filtering techniques. It discusses their application to several classes of phase modulation (PM) problems: cyclic and absolute PM problems. It considers the long time or tracking behavior of the PM demodulators, and their short time or acquisition ability. After motivating examples, the mathematical model is presented. The continuous and the discrete optimal nonlinear filtering solutions are then analysed.The PM problems are described. A brief exposition of the PLL theory follows, with emphasis on a operator type solution of the associated Kolmogoroff equations. Finally, the implementation of the nonlinear demodulator and their performance in the context of absolute PM tracking and acquisition is pursued.

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