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An elegant analytical method for the derivation of the non-linear mathematical model of classical Costas electric circuit with non-sinusoidal signal waveforms is presented. Resulting model is similar to classical phase-locked loop (PLL) with special waveform of the phase detector characteristic. Phase detector characteristic can be computed analytically using Fourier series representation. The method...
A modification of BPSK Costas loop, where low pass filters are applied separately from the loop, is considered. Such modification of the loop can work with non-sinusoidal signals or with some special phase detectors instead of multipliers. In this paper a general approach to the analytical computation of phase detector characteristic of the loop for general periodic signal waveforms is demonstrated...
Discovery of undesirable hidden oscillations, which cannot be found by simulation, in models of phase-locked loop (PLL) showed the importance of development and application of analytical methods for the analysis of such models. Approaches to a rigorous nonlinear analysis of analog PLL with multiplier phase detector (classical PLL) and linear filter are discussed. An effective analytical method for...
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