Sine wave oscillator and method of operating same

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G06F 102

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049377736

ABSTRACT:
A sine-wave oscillator produces a sine-wave signal of a digitally predetermined frequency f in successive steps by only one multiplication and one addition under control by a clock generator having a clock frequency p. During a first step the value A.sub.(i+l) =A.sub.i +B.sub.i .multidot.k is determined and during a subsequent second step the value B.sub.(i+l) =B.sub.i -A.sub.(i+l) .multidot.k is determined therefrom, A.sub.(i+l) and B.sub.(i+l) being the respective newly calculated values, A.sub.i and B.sub.i being the respective previous values calculated in a preceding step, and k being a factor k=2.multidot.sin (.pi..multidot.f/p) calculated in a computer. The period of the successive steps is selected to be 1/2 p, and for the first step A.sub.(o) =0 and B.sub.(o) =cos (.pi..multidot.f/p) are selected. At least one of the two factors A.sub.(i+l) and B.sub.(i+l) is finally converted to an analog sine-wave signal in a digital-to-analog converter.

REFERENCES:
patent: 4285044 (1981-08-01), Thomas et al.
G. McAuliffe, "Digital Sampled Oscillator", IBM Technical Disclosure Bulletin, vol. 15, No. 4, Sep. 1972, pp. 1126-1127.
J. Tierney et al., "A Digital Frequency Synthesizer", IEEE Trans. on Audio & Electroacoustics, vol. AU-19, No. 1, Mar. 1971, pp. 48-56.
"Digital Polyphase Sinewaves," Darwood, Wireless World, Nov. 1982, p. 65.
"Accurate Sine-Wave Oscillator," Darwood, Wireless World, Jun. 1981, pp. 69-70, 78.

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