Redundant systems such as frames are often used to represent a signal for error correction, denoising
and general robustness. In the digital domain quantization needs to be performed. Given
the redundancy, the distribution of quantization errors can be rather complex. In this paper we
study quantization error for a signal X in Rd represented by a frame using a lattice quantizer. We
characterize the asymptotic distribution of the quantization error as the cell size of the lattice goes
to zero. We apply these results to get the necessary and sufficient conditions for the White Noise
Hypothesis to hold asymptotically in the case of the pulse-code modulation scheme.
This is an abbreviated version of a paper that will appear elsewhere in a regular refereed journal.