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Convolução: Q1 - Coggle Diagram
Convolução: Q1
Applications
Blurring images
Savitzky-Golay smoothing filters
Weighted moving average
Reverberation
Kernel Density Distribution
Edge detection
Convolutional neural networks
Circular Convolution
Convolution of 2 periodic functions that have the same period.
Applications
Discrete-time Fourier Transform
Properties
Algebric Properties
Commutativity
f ∗ g = g ∗ f
Associativity
f ∗ (g ∗ h) = (f ∗ g) ∗ h
Distributivity
f ∗ ( g ∗ h) = (f ∗ g) ∗ h
Multiplicative identity
f ∗ 𝛿 = f
Differentiation
(f ∗ g)' = f' ∗ g = f ∗ g'
Convolution Theorem
Convolution in one domain equals point-wise multiplication in the other domain.
F{f ∗ g} = F{f} . F{g}
F{f . g} = F{f} ∗ F{g}
Discrete Convolution
Applications
Cauchy product
Digital Signal Processing
