Class: 9/8/2010

Devoted the whole hour to deriving and discussing the characteristics of complex low-pass noise given that the real bandpass noise characterization.  For WSS bandpass noise, the cross-correlation of the real and imaginary parts is odd while the auto-correlations are the same.  For white Gaussian bandpass noise, the real and imaginary parts of the low-pass noise are uncorrelated (and independent).  There is twice as much total power in the low-pass noise as in the bandpass noise.  If the bandpass noise is "white" and Gaussian with PSD N0/2 for |f-fc|<W, then the low pass noise is "white" and Gaussian with PSD 2N0 for |f|<W.