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### The Matrix Form of a 2D Circular Convolution

Yes, indeed. You may represent the convolution in a Matrix Form. Pay attention that this form assumes the image is column / row stacked into a vector. If you're after a circular convolution, you may ...
• 42.6k
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### What is the complexity of multiplication a real matrix with real vector

If you multiply an $M \times N$ matrix with an $N \times 1$ vector you get a vector of size $M \times 1$ For the generic case you will need $M \cdot N$ multiplications and $M \cdot (N-1)$ additions. ...
• 34.1k
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• 81k
1 vote
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### Can we recover a vector from one element of resulted vector after multiplication?

I think the answer is there is no way to recover $s$. Here I will be using a superscript $*$ to indicate the complex conjugate. First lets expand the matrix multiplication: y_1 = \frac{1}{2}\left[(...

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