FFT has this property that object orientation or location doesn't matter. As long as you have the signature of an object, you can recognize it anywhere!
What do you mean by that? Could you give me an example?
https://en.wikipedia.org/wiki/Convolution_theorem
The FT is _NOT_ just a convolution, but under certain conditions a specific operation on FT terms is equivalent to a convolution.
FFT has this property that object orientation or location doesn't matter. As long as you have the signature of an object, you can recognize it anywhere!