On the Degradation of Hard-Limiting Systems by Sampling
I. Bar-David · IRE Transactions on Communications Systems · 1977
Sampling performed in conjunction with hard-limiting of a narrow band signal in band-limited white Gaussian noise increases the loss in output signal-to-noise ratio over that incurred by hardlimiting the original time-continuous signal. The largest increase in noise is by a factor of\pi^{2}/8in both the band-pass and the base-band cases, and occurs when the input signal-to-noise ratio is low and sampling is at Nyquist rate. Increase in the sampling rate gradually reduces the additional loss in both cases.