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There is a somewhat more fundamental issue with delay/range estimation in this scenario, of which you haven't made mention, and that is the inherent phase ambiguity when trying to match two continuous-wave sine functions. If you send a waveform out with phase of $0$ rad, and get one back with a phase of $\pi/2$ rad, was it delayed by 250ns or was it delayed ...


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In measurement science there is less talk of resolution and more talk of accuracy and precision. Accuracy is how close to the true value your are; and precision is how much spread (variance) you expect a variable to have. In my experience precision and resolution are often "mixed" together, maybe because they are a bit similar in some cases. ...


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