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1 vote

Tracking a sine wave with noise

That's actually not a trivial problem and the best approach really depends on your specific requirements. My first approach would be a phase-locked loop and simply use the local oscillator as the pr …
Hilmar's user avatar
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1 vote
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How to specify the cut-off frequence in cascaded biquad filters?

Do we just cleverly set the $a_{1,2}$ and $b_{0,1,2}$ coefficents? Yes. The coefficients determine entirely what he filter does: shape (lowpass, highpass, bandpass, peaking EQ, shelve, etc.), steepn …
Hilmar's user avatar
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2 votes
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converting complex sum of exponential signal to real signal

For what values of the model parameters, does it generate a real signal? That's probably not possible. Roughly speaking, your frequencies are all positive and a real signal must have a conjugate sym …
Hilmar's user avatar
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6 votes

Estimate Sine Frequency under White Noise — simple and effective method

This depends on the precision needed. If it's a pure sine wave that's noise free, you can get a very quick estimate by measuring the difference between two zero crossings. The tricky part is that most …
Hilmar's user avatar
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