Patent ID: 7317958

Claim:
A computer readable medium encoded with computer executable instructions comprising: a first set of executable instructions to receive digital audio signal frames wherein each digital audio signal frame has a set of specified frequency values expressed as a bit sequence; a second set of executable instructions to Re-Map said bit sequence to represent lower frequencies with more significant bits and higher frequencies with less significant bits; and a third set of executable instructions to facilitate additive synthesis of said digital audio signal frames in a reduced-precision recursive digital oscillator wherein said recursive digital oscillator generates frequency f lying in the range from zero to one-half of a sampling frequency f s including recursion coefficients xn given by x n =2x n−1 −εx n−1 −x n−2 , wherein ε=2−2 cos(ω) and wherein ω=2πf/f s , and and wherein said Re-Mapping biases the generating frequency of said oscillator, whereby ε is represented by an unsigned mantissa, m, combined with an unsigned exponent, e, biased so that the actual represented value is ε=2 2−e m.