Signals filtering based on 2D convolution

1. Convolution 2D based on FT2. Zonal high pass filter3. Zonal low pass filter4. Gaussian filter5. Butterworth high pass filter6. Butterworth low pass filter7. Small generating kernel convolution

2D Convolution based on FT

P(x,y)=F(x,y)*H(x,y)=

FT{FT[F(x,y)] FT[H(x,y)]}=

= FT{F(u,v)H(u,v)}

Zonal high pass filter

Zonal filter transfer function definition

Zonal high-pass

Zonal low pass filter

Zonal low-pass filter

Zonal filtering

Gaussian filter

Butterworth high pass filter

Butterworth high-pass

Butterworth low pass filter

Butterworth low-pass

Small generating kernel convolution

Small generating kernel convolution