In mathematics, symmetric convolution is a special subset of convolution operations in which the convolution kernel is symmetric across its zero point. Many common convolution-based processes such as Gaussian blur and taking the derivative of a signal in frequency-space are symmetric and this property can be exploited to make these convolutions easier to evaluate.
Read more about Symmetric Convolution: Convolution Theorem, Mutually Compatible Transforms, Advantages of Symmetric Convolutions