How to Determine Amplitude and Phase of a Time-Varying Sinusoidal Signal?

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Discussion Overview

The discussion revolves around determining the amplitude and phase of a time-varying sinusoidal signal. Participants explore various methods and approaches for estimating these parameters, considering both theoretical and practical aspects.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about finding the time-varying amplitude and phase of a sinusoidal signal represented as x(t).
  • Another participant suggests that the Hilbert transform could be an effective method for estimating instantaneous amplitude and phase.
  • Additional methods mentioned include the short time Fourier transform, wavelet transform, least squares method, and auto regressive methods.
  • A question is raised regarding whether the signal is being compared to a reference signal with constant amplitude and phase/frequency, and whether the solution sought is software-based or hardware-based.

Areas of Agreement / Disagreement

Participants present multiple methods for estimating amplitude and phase, indicating that there is no consensus on a single approach. The discussion remains open with various competing views on the best methods to use.

Contextual Notes

Some methods may depend on specific assumptions about the signal characteristics or the context in which they are applied, which are not fully explored in the discussion.

umarkhan
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hello,
if I have a sinusoidal signal that has changing amplitude and phase with respect to time, how can I find the amplitude and phase with respect to time?

So given x(t) the probem is to find a(t) and p(t)?

Thanks.
 
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There are various ways of estimating instantaneous amplitude and phase. Hilbert transform might be a good choice for that.
 
There are many methods available. Short time Fourier transform, Wavelet transform, least squares method, auto regressive methods etc.
 
Are you comparing this signal to a reference signal with constant amplitude and phase/frequency? Are you looking for a software solution, or a hardware circuit?
 

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