Green's Theorem for Sign Data

Figure 1

A synthetic signal (sin𝑐(𝑥/3)𝑒^{−(𝑥/15)2}) and the computer-generated uniform random noise used to examine sign-bit amplitude recovery. This test has noise of unit magnitude (𝑎=1) and a signal-to-noise ratio of one. Shown from bottom to top is the signal, the signal plus noise, the sign of the signal plus noise, the average over 200 iterations of signal plus noise, and the average over 200 iterations of the sign of signal plus noise.