Patent ID: 8478805

Claim:
A method for synthesizing signal frequencies using low resolution rational division decomposition, the method comprising: accepting, by a calculator module including a processor, a reference frequency value; accepting, by the calculator module, a synthesized frequency value; in response to dividing the synthesized frequency value by the reference frequency value, determining an integer value numerator (n) and an integer value denominator (d); reducing a ratio of n/d=I O (N O /D O )=I O +N O /D O =(I O +1)−(D O −N O )/D O , where N O /D O <1 and N O and D O are integers; reducing N O =In(N n /D n )=I n +N n /D n =(I n +1)−(D n −N n )/D n , where I n , N n , and D n are integers, and N n /D n <1; using I n , N n , and D n to create a final numerator divisor; reducing D O =I d (N d /D d )=I d +N d /D d =(I d +1)−(D d −N d )/D d , where I d , N d , and D d are integers, and N d /D d <1; using I d , N d , and D d to create a final denominator divisor; and using I O , the final numerator divisor, and the final denominator divisor to create a final divisor.