We report voltage noise measurements on the cryogenic quantum Hall resistance (QHR) and present two new findings to illustrate the potential of the two-channel instrumentation used. Without applied current, only Johnson-Nyquist noise is present, but at two separate pairs of quantum Hall terminals, it can be cross-correlated via a longitudinal resistance. With applied current, excess noise due to dissipation bursts appears, which increases dramatically with the noninteger fraction of the filling factor.