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Examples and Worked Solutions

Paul Victor Brennan

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Abstract

1. Explain, with the aid of circuit and timing diagrams, the operation of an RS flip-flop phase detector and a dual D-type phase/frequency detector. Include sketches of the phase detector characteristics in your explanation. Derive an expression describing the characteristic of the phase/frequency detector when the input signals are of different frequencies. Also, derive a corresponding expression for the RS phase detector characteristic with input signals of different frequencies and use this to explain why loops incorporating phase/frequency detectors have superior acquisition performance.

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What this paper is about

1. Explain, with the aid of circuit and timing diagrams, the operation of an RS flip-flop phase detector and a dual D-type phase/frequency detector. Include sketches of the phase detector characteristics in your explanation. Derive an expression describing the characteristic of the phase/frequency detector when the input signals are of different frequencies. Also, derive a corresponding expression for the RS phase detector characteristic with input signals of different frequencies and use this to explain why loops incorporating phase/frequency detectors have superior acquisition performance.

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Available abstract

1. Explain, with the aid of circuit and timing diagrams, the operation of an RS flip-flop phase detector and a dual D-type phase/frequency detector. Include sketches of the phase detector characteristics in your explanation. Derive an expression describing the characteristic of the phase/frequency detector when the input signals are of different frequencies. Also, derive a corresponding expression for the RS phase detector characteristic with input signals of different frequencies and use this to explain why loops incorporating phase/frequency detectors have superior acquisition performance.

Key concepts: Detector, Phase detector characteristic, Phase detector, Phase (matter), Dual (grammatical number), Physics, Expression (computer science), Optics

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