Expected Values of Functions of Quantized Random Variables

The computation of expected values of functions of quantized random variables is treated by sampling theory methods, as an extension of Widrow´s work on the statistical theory of quantization. It is shown that such expected values can often be evaluated readily when conditions analogous to Nyquist sampling constraints are satisfied. An example-computation of the autocorrelation of a phase-quantized angle-modulated signal-is provided to illustrate the use of the theory. Other potential areas of application are suggested.