Patent ID: 11736117

Abstract:
A digital-to-analog conversion, including: converting signal Y using word X=M+α−αN having length Ψ=α+β digits, where M is high order digits of α long control word X, α−αN is low order digits of β long control word X, wherein α≈β; subjecting analog signal Z to three conversions, wherein, in the first conversion, signal Z1 is proportional to Mα long high order digits of X, and to reference signal Y1, where Z1=Y1×M, in the second and third conversions, signals Z2 and Z3 are proportional to Nβ long low order digits of X and to signals Y1 and Y2, respectively, where Z2=Y1×N, and Z3=Y2×N, wherein, before the conversions, α−αN low order digits of X are multiplied by αα; and adding Z1, Z2, Z3 to generate output signal Z0, wherein Y1 and Y2 relate by Y2=Y1(1±α−α), wherein α is the base of the numbering system, α is the number of digits, by which α−αN is shifted.