MMSE design of polyphase components for generalized interpolators
Luc Vandendorpe, P. Delogne, Benoit Maison, L. Cuvelier · 2002
The generalized sampling theorem states that any analogue signal whose spectrum is limited to 1/T can be exactly recovered from N sequences of samples taken at a rate 2/NT and all having a different sampling phase. When N=2, the exact interpolation formula can be derived quite easily. The ideal interpolation filters have infinite impulse responses. This paper addresses the question of recovering from the 2 initial sequences, any other sequence taken at the same rate 1/T and with a different sampling phase. The design problem is dealt with for finite length filters and the criterion is the minimization of the mean squared interpolation error.>