0
$\begingroup$

I am wondering, can we use Radix 2 based computational-complexity calculation for any matrix multiplication whose size is $N$ x $N$ ?? where $N$ = $2^K$ and $K > 1$ is an integer ?? Or it can only used for FFT matrix?

and if I have a unitary complex matrix whose size $2$x$2$ multiplied with a real vector $2$x$1$; in that case the complexity is 6, can I use the radix-2 to recalculate that complexity with less required operations?

Improve this question
$\endgroup$
6
  • $\begingroup$ When researching Radix-2, you'll likely have figured out that it's the symmetry of the DFT matrix that makes it possible; so, maybe you want to elaborate on where your doubts come from? $\endgroup$
    – Marcus Müller
    Jul 14, 2021 at 7:15
  • $\begingroup$ by the way, how do you arrive at complexity 6? I can't find the same result. $\endgroup$
    – Marcus Müller
    Jul 14, 2021 at 9:46
  • $\begingroup$ and: is this really about 2×2 matrices applied to 2-length vectors? Because you'll find that the naive DFT of size 2 is trivial, and doesn't profit from radix-2 at all, so it's not quite sure whether you're on the right track! Maybe give some context (it's always a good idea). Explain why you came to the conclusion an unitary matrix calculation would be doable using radix-2 (I think there's a lot of good thought here; your question doesn't sound like a wild guess! I just don't understand where this is coming from); for which $N$ do you really care? Give us a rough idea of the size of the $\endgroup$
    – Marcus Müller
    Jul 14, 2021 at 9:51
  • $\begingroup$ real-world problem your tackling! Unitary matrices have a lot of nice properties, maybe there's some other approach to solving the problem that can actually be more efficient. $\endgroup$
    – Marcus Müller
    Jul 14, 2021 at 9:54
  • $\begingroup$ I got, Radix-2 can only be used with symmetry matrices, $\endgroup$
    – Fatima_Ali
    Jul 14, 2021 at 10:37

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.

Browse other questions tagged or ask your own question.