A widespread test of the PLL FM demodulator under Gaussian modulation is simulated using the Monte Carlo method. Unified noise-free and noise performance analyses of the PLL FM demodulator are presented. Substantial reduction of the modulation limit by the input bandpass filter is reported in the region of the input bandwidth of practical interest. Bessel bandpass filters of order greater than two are shown to compare favorably with Butterworth filters in front of the PLL FM demodulator relative to the IM distortion. A lower bound on the loop noise bandwidth is found by minimizing the output click rate for given IM distortion specifications. FM threshold of 4 dB and 7 dB for the rms frequency deviation-to-message bandwidth ratio 0.1 and 1.0, respectively, is reported on the worst-case IM distortion of 45 dB.
An equivalent model of the limiter phase detector in the presence of Gaussian noise and cochannel interference is reported. The model is based on effective characteristics conditioned on the interference phase. The effective phase detector characteristic and the variance of the effective phase noise for a specific interference phase are given. The model is used to calculate the phase error probability density function of the closed first-order phase-locked loop. Übersicht: Ein äquivalentes Modell des Begrenzer-Phasendiskriminators bei gaußschem Rauschen und Störüberlagerung wird vorgestellt Das Modell stützt sich auf effektive, durch die Störphase bedingte Kenngrößen. Es werden die effektive Modellkennlinie des Phasendiskriminators und die Varianz des effektiven Phasenrauschens für eine bestimmte Störphase gegeben. Das Modell wird zur Berechnung der Wahrscheinlichkeitsdichte des Phasenfehlers im geschlossenen Phase-Locked Loop erster Ordnung angewandt. Für die Dokumentation: Phase-Locked Loop / Phasendiskriminator / Rauschen / Störüberlagerung
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