Statistical Analysis of Quantization Effects for Ad-Hoc Communication Systems

Abstract

The research assumes the problem of statistical description of combined nonlinear clipping device and a quantizer that are driven by the input sum of Gaussian information process and white Gaussian noise. The output process' probability function and the expressions for arbitrary order moments are obtained and applied for output variance calculation. The effects of energy distortions, introduced by the system are analyzed as a function of number of quantizers' bits, its aperture and input process root mean square deviation.