Digital delta-sigma modulator with non-recursive computation of residues

A delta-sigma modulator (DSM) with non-recursive computation of delta-sigma residues comprising:

• an input port for receiving a digital input signal;
• a residue calculation circuit coupled to the input port for calculating delta-sigma residues non-recursively;
• and
• a DSM output calculation circuit coupled to the output of the residue calculation circuit for generating an output of the DSM, wherein the residue calculation circuit calculates a portion of the delta-sigma residues directly and without recursion, and calculates another portion of the delta-sigma residues recursively.

A digital-to-analog converter (DAC) comprising a delta-sigma modulator (DSM) with non-recursive computation of delta-sigma residues, wherein the DSM comprises:

• an input port for receiving a digital input signal;
• a residue calculation circuit coupled to the input port for calculating delta-sigma residues non-recursively;
• and
• a DSM output calculation circuit coupled to the output of the residue calculation circuit for generating an output of the DSM, wherein the residue calculation circuit comprises an accumulation filter coupled to the input port for accumulating the digital input signal, a modulo operator coupled to the accumulator, and a subtracting circuit for subtracting a DSM gain from predetermined samples of an output of modulo operator to generate a non-recursive delta-sigma residue output.

A method for non-recursive computation of delta-sigma residues, the method comprising:

• receiving a digital input signal;
• calculating delta-sigma residues non-recursively by calculating a portion of the delta-sigma residues directly and without recursion, and calculating another portion of the delta-sigma residues recursively;
• and
• generating an output of the DSM.