The Use of Finite Fields and Rings to Compute Convolutions [report]

Irving S. Reed
1975 unpublished
This note extends briefly the integer transforms of CM. Racier (1972) to transforms over finite fields and rings. These transforms have direct application to digital filters and make possible digital filtering without round-off error. In some cases, the parameters of such number-theoretic transforms can be chosen so that substantial reductions in hardware are possible over what would be needed using classical digital filtering techniques. iu CONTENTS Abstract iii Summary vi
doi:10.21236/ada016955 fatcat:kv2jbowse5hvnclhutt74stev4