Reconstruction of Real Signals

Abstract

We consider a real signal which has been sampled synchronously and uniformly at two sampling frequencies, the first equal to its bandwidth, and the second to 150% of its bandwidth. Therefore the two corresponding discrete-time signals are undersampled versions of the original analog signal. First a set of equations will be proposed to reconstruct the original signal from the two undersampled signals. The advantage of the proposed method is that baseband real signal transmission can be done by two parallel transmission channels, whose bandwidth is only half of the original real signal bandwidth.