Given p co-prime finite impulse response (FIR) filters hi ∈ Rmk, it well known that there exist qi ∈ Rmi such that ∑i hi*qi = δ. Importantly, this enables signal recovery from its con: utions with p > 2 co-prime FIR filters by FIR filtering. We show that such qj exist almost surely if and only if mq > [(mh - 1)/(p - 1)], where [x] is the smallest integer greater than or equal to x. The results also provide conditions for full rank of certain key matrices arising in the blind multichannel deconution problem.
ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering