Wavelets

Nice Animation
Allows you to produce spectrograms by corresponding the intensity of a certain frequency at a certain time to the magnitude of the complex convolution of a small wavelet curve on the sample of interest.

$T(a,b)={\int }_{-\infty }^{\infty }y(t)\Psi \left(\frac{t-b}{a}\right)\mathrm{d}t$

• $T(a,b)$ is the intensity of the wave at a time $b$ and scaling (opposite of frequency) $a$ and is found as the convolution of the sample and wavelet
• $y(t)$ is the sample
• $\Psi$ is the wavelet and may be
• $t$ is time
• $b$ is the