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0 answers
39 views

Identifying a single dominant number with high probability in a data point array of 4 to 20 numbers

EDIT 3: added below picture of raw readings of oscope from doppler data showing "periods" of sine waves before processed sine signal into square pulses. EDIT 1: These numbers on the left ...
3 votes
1 answer
1k views

Dimensionality reduction of multiple signals using Fourier transform

I have $N$ recorded signals, $x$, each of which have been sampled 672 times across a time period of a week (= 15 min intervals). I will denote $x_{ij}$ as the $j$th sample for the $i$th recorded ...
3 votes
1 answer
2k views

Clustering data with Fourier series representation

We are analyzing temporal behavioral patterns across many users and we want to cluster users in order to understand "natural types of behavior". Our idea is to represent the data (672 bins for each ...
3 votes
0 answers
72 views

Testing discrete data for periodicity [duplicate]

I have some data which looks roughly periodic - is there a nice way to measure this? This is an example I'm working on and I'd like a metric that I will be able to just threshold to give a decision ...
0 votes
2 answers
393 views

Separating two complex-valued datasets that have been multiplied together

I have two complex-valued datasets, A and B that can be considered as vectors with the same number of elements. The datasets are multiplied together using complex point-by-point multiplication, ...
4 votes
1 answer
2k views

Noise in the Fourier transform

I have a smooth but rather complex curve, sampled with a good frequency. I apply the discrete Fourier transform to it using the fast Fourier transform (FFT) algorithm and get its Fourier image. I need ...