Software FindGraph Tools

Convolution

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How to smooth data with convolution

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In linear systems convolution is used to describe the relationship between three signals of interest:
the input signal Y[i],
the impulse response F[i] (filter kernel),
the output signal W[i].
Convolution is defined by the convolution sum: Convolution formula Smooth data with convolution

FindGraph includes several filter kernels F(u):
Common filter kernels (Delta function, Amplification, Attenuation, Inverting, Shift, Echo, First derivative, Integral).
Low-pass filter kernels to provide an averaging (smoothing) of the signal (exponential, rectangular, Gauss function, sinc function with Hamming or with Blackman windows).
High-pass filter kernels.

You can draw your own signal or to modify a selected signal. Simple click on left chart and use the mouse to draw your own signal.