Representation and Analysis of Signals. Part XXVII. Phase-Locked Loops with Tangent Phase Detector and Quasi-Linear Phase Detector,
Abstract
A new phase-locked loop, the Tangent loop, is introduced and a sub-family of loops derived from its basic structure is presented. A representative of the sub-family, the Quasi-linear loop, is singled out for further study. Several performance aspects of the new loops in both first- and second-order versions are derived and compared with the corresponding features of more standard loop structures. The notion of an overdamped nonlinear system is introduced and sufficient conditions for its existence are derived. It is shown that the Tangent loop can be made overdamped for almost all initial conditions. A qualitative treatment of the Tangent loop operating in a weak noise environment is presented, but analytical difficulties preclude a precise analysis. The Quasi-linear loop and the widely used Sine loop are compared in both the high and low signal-to-noise ratio regimes. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1970
- Accession Number
- AD0735909
Entities
People
- Joseph H. Yang
Organizations
- Johns Hopkins University