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A wavelet is a wave-like oscillation with an amplitude that starts out at zero, increases, and then decreases back to zero.

6 votes

Why does a narrower window in a Fourier transform or STFT give poor frequency resolution?

The other answers are good, but I thought that I would try to give a more intuitive/visual answer since I am an intuitive/visual guy. The picture below is the plot of two tones that are almost the sa …
Jim Clay's user avatar
  • 12.2k
2 votes

Signal matching: How to quantify the difference between two signals of varying frequency

For a relatively easy answer you can use a short-time Fourier transform and use the largest value as the estimate of your sinusoid frequency. The basic idea is that you do short Fourier transforms at …
Jim Clay's user avatar
  • 12.2k
2 votes
Accepted

Time-Frquency Resolution issues

I understand that when we take longer time windows and take the fourier transform we would suffer in the time resolution, But Why if we take a shorter time window we would suffer in frequency resol …
Jim Clay's user avatar
  • 12.2k
7 votes

Adding noise to an ECG signal

1) Create a 50 Hz sinusoid and then simply add it to your ECG signal. You can control the power of the 50 Hz noise by multiplying the sinusoid by some gain factor (can be less than or more than 1) be …
Jim Clay's user avatar
  • 12.2k