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3
votes
1answer
66 views

How can we compute statistics of the DFT of a random signal?

I would like to know how to compute the statistics of the discrete Fourier transform of a noise signal. To illustrate what I mean, I will first explain in detail a computation I have managed to do ...
2
votes
0answers
44 views

Error in treating non-uniformly spaced data as uniform

In discussing smoothing filters, Numerical Recipes p. 772 says ... irregularly sampled data, where the values $f_i$ are not uniformly spaced ... one can simply pretend that the data points are ...
5
votes
1answer
119 views

Calculate large and small frequency separation for the Sun

I want to determine the big and small frequency seperation from timeseries data for the sun. An excerpt of the data (timeseries and power series) is plotted below. The power series is calculated in ...
5
votes
1answer
91 views

Use Butterworth and Chebychev filters

I need to calculate frequency response, phase response and apply to signals the Butterworth, Chebychev1 and Chebychev2 band-pass filters. I'm developing in C++ with Qt, and I'm looking for algorithms ...
16
votes
4answers
835 views

What is the best way to find discontinuities of a black-box function?

It was suggested that this might be a better place for this question than Mathematics Stack Exchange where I asked it before. Suppose one has a black-box function which can be evaluated anywhere ...