Numerically controlled oscillator with complex exponential outputs using recursion technique
AssigneeWestinghouse Electric Corp.
InventorsBrian W. Kroeger, Jeffrey S. Baird
Life of this patent
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Abstract
A numerically controlled oscillator that outputs a complex exponential value (sine and cosine). The numerically controlled oscillator inputs a scalar phase increment and uses the scalar phase increment to approximate a complex exponential phasor increment. A complex multiplier multiplies the exponential increment by an exponential value previously output from the oscillator to yield a multiplication result. A recursive amplitude normalizer, connected to the complex multiplier, normalizes the multiplication result to yield the complex exponential value.
Claims11
A numerically controlled oscillator for a mobile telecommunications system, that receives a scalar phase increment value, comprising:
- means for generating a complex phasor increment value from the scalar phase increment value;
- a complex multiplier for multiplying the complex phasor increment value by an exponential value previously output from the oscillator to yield a multiplication result;
- and
- a normalizer, connected to the complex multiplier, for normalizing the multiplication result to output an exponential value.
A method performed by a numerically controlled oscillator for a mobile telecommunications system, the oscillator receiving a scalar phase increment value, comprising the steps of:
- generating a complex phasor increment value from the scalar phase increment value;
- multiplying the complex phasor increment value by an exponential value previously output from the oscillator to yield a multiplication result;
- and
- normalizing the multiplication result to output an exponential value.
Dependencies are inferred from the claim text.