Convolution flip and shift

1. Why do we flip in convolution?
2. How do you flip a kernel for convolution?
3. Do we need to flip the kernel in convolution?
4. What is the inverse of convolution?

Why do we flip in convolution?

Basically it's because time goes along the x axis with the small time values on the left and the big (later) time values on the right. So if you start shifting in, you're having the big time values hit your signal first, which is not right (causal). So you have to flip it to make the small time values shift in first.

How do you flip a kernel for convolution?

In Convolution operation, the kernel is first flipped by an angle of 180 degrees and is then applied to the image. The fundamental property of convolution is that convolving a kernel with a discrete unit impulse yields a copy of the kernel at the location of the impulse.

Do we need to flip the kernel in convolution?

When performing the convolution, you want the kernel to be flipped with respect to the axis along which you're performing the convolution because if you don't, you end up computing a correlation of a signal with itself.

What is the inverse of convolution?

Computing the inverse of the convolution operation is known as deconvolution.