Gaussian Kernel Smoothing
نویسنده
چکیده
where K is the kernel of the integral. Given the input signal X , Y represents the output signal. The smoothness of the output depends on the smoothness of the kernel. We assume the kernel to be unimodal and isotropic. When the kernel is isotropic, it has radial symmetry and should be invariant under rotation. So it has the form K(t, s) = f(‖t− s‖) for some smooth function f . Since the kernel only depends on the difference of the arguments, with the abuse of notation, we can simply write K as K(t, s) = K(t− s).
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