# To find angular frequency and wave vector for time series data

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Star Strider
on 17 Feb 2024

From what I’ve been able to discover, the ‘minimum vairance method’ is a heirarchical clustering approach. MATLAB has a few ways to do that. See the documentation section on Hierarchical Clustering, linkage and related functions for details.

If you want to fit those data to a function instead (estimating the function’s parameters using the data to optimise them), that is an entirely different problem. MATLAB has a number of different ways to solve it.

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Star Strider
on 4 Mar 2024

I have no idea what you are doing or what your data are.

I would probably use the fft function to find the frequency in time-varying waveform data. (I asume the data are amplitude as a function of time.)

If you have defined a system (for example a control system) ot diferential equations describing it, the eigenvalues of the ‘A’ matrix will be the charactreristic (resonant) frequencies of the system. I would be hesitant to apply that to time-series data.

With a 5-minute (300 second) sampling interval, the sampling frequency is 0.2 cycles/minute (0.00333 ... Hz) and ths highest frequency you could estimate (the Nyquist frequency) would be 0.1 cycles/minute (0.00166 ... Hz).

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