Method of residue to analog conversion

Communications: electrical – Audible indication – Percussion-type sound producer

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340347M, 364746, H03M 112

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active

045845620

ABSTRACT:
A method is disclosed for accomplishing modulo 2.sup.2n -1 addition with apparatus requiring adders that may be all standard binary adders. The method requires summing binary input signals a and b to produce a first sum signal in which the n+2 more significant bits thereof represent the integer part of a+b taken modulo 2.sup.2n. These n+2 more significant binary bits are subtracted from a 2n bit shifted product representation thereof for producing a first difference signal. This difference signal is subtracted from the first sum signal to produce a binary signal R. When R is greater than or equal to the constant (2.sup.2n -1), this constant is subtracted from the signal R for producing a binary signal that is the first sum signal a+b taken modulo 2.sup.2n -1 .

REFERENCES:
W. K. Jenkins, ICASSP 1978 pp. 804-807 "Residue-to-Analog Conversion".
F. J. Taylor et al, CAS 1981 pp. 1164-1169, "Residue-to-Decimal Converter"; IEEE Transactions.
M. A. Soderstrand et al, 1983 IEEE Trans. CAS-30 pp. 903-907 "RNS D/A Converter".
W. K. Jenkins IEEE Trans. CAS vol. 25, 1978 pp. 555-562 "Residue-to-Analog Conversion".
Arora et al, Procs. Fifth Symp. on Computer Arithmetic "Conversion Scheme in Residue Code" 1981, 5/18-5/19.
M. A. Soderstrand et al, ICAS 1984, pp. 1455-1458 "Pipelined IIR RNS Digital Filters".

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