I'm trying to build a simple least-squares denoiser using linear algebra. Given a note in form A*sin(2πft) and a set of noisy sine data I'm trying to figure out a way to create a Ax = b form so I may do a linear algebra approximate least-squares solution on the noisy data.
I've been trying for a while, and begin to worry this is not possible. Is this at all possible while remaining within Linear Algebraic methods?