Description
During my undergraduate studies, which I did in Electrical Engineering at the Technion in Israel, I was always appalled that such an important concept as convolution [1] just landed out of nowhere…
Summary
- Have you ever wondered what is so special about convolution?
- 2] Technically speaking, what I define here is circular convolution.
- [ 3] Note that the rows of C(w) have the vector w transposed, resulting in the reflection that appears in the convolution formula and distinguished it from a related notion of correlation.
- 6] Some often confuse invariance (meaning “unchanged” in Latin) and equivariance (“changing in the same way”), with many signal processing books referring to the property I discuss here as “shift invariance”.