11 ms·
Thanks for the info, looking into Hadamard Matrices recently for wireless ECC and the fact it's being used in compression algorithm was oblivious to me. What i
by teleforce 2y ago
Thanks for the info, looking into Hadamard Matrices recently for wireless ECC and the fact it's being used in compression algorithm was oblivious to me.
What is interesting is that the techniques that are being used in compression, communication and signal processing in general involved orthogonality and Nasir's master and PhD research thesis were in the area of Orthogonal Transform for Digital Signal Processing.
Hadamard Transform can provide orthogonality but unlike DCT and DFT/FFT that are limited to real and complex respectively, Hadamard Transform is very versatile and can be used in real, complex, quaternion and also octonion numbering schemes that probably the latter are more suited for higher dimensions data and signal processing.
Hadamard orthogonal codes has also been used as ECC in reliable space communication in both the Mariner and Voyager missions, for examples [1].
[1] On some applications of Hadamard matrices [PDF]:
https://documents.uow.edu.au/~jennie/WEB/WEB05-10/2005_12.pdf https://documents.uow.edu.au/~jennie/WEB/WEB05-10/2005_12.pd...