of small kernel convolution operators. The SVD expansion can be truncated to a relatively few terms without significantly affecting the filter output. A statistical analysis of finite word-length effects in SVD/SGK convolution is presented. Two important issues, related to the implementation of the filters in cascade form, scaling and section ordering, are also considered. Computer simulation of image convolution indicates that 12 bits are required for the SGK/SVD accumulator memory and 16 bits

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... are required for quantization of filter coefficients to obtain results visually indistinguishable from full precision computation. A normalized mean square error between the SVD/SGK processed output and the direct processed output is chosen as an objective criterion function. It is shown that a subjective visual improvement is obtained by resetting the output mean to be equal to the input mean. The transformation technique developed for the one-dimensional case is used to parametrically modify the cutoff frequency of a baseline SVD/SGK convolution filter. A detailed discussion of the one-dimensional case is presented, and its applicability to SVD/SGK convolution filters is described. UNCLASSIFIED SECURITY CLASSIFICATION OF THIS PAGE(When Date Entered)