Factorization for analog-to-digital matrix multiplication

Abstract

We present matrix factorization as an enabling technique for analog-to-digital matrix multiplication (AD-MM). We show that factorization in the analog domain increases the total precision of AD-MM in precision-limited analog multiplication, reduces the number of analog-to-digital (A/D) conversions needed for overcomplete matrices, and avoids unneeded computations in the digital domain. Finally, we present a factorization algorithm using alternating convex relaxation.