Systems and methods for synthesizer locking using iterative numerical techniques

A frequency synthesizer comprising:

• a voltage-controlled oscillator (VCO) having a first programmable array of capacitors;
• and
• a programming module,
• wherein the programming module is configured to:
• apply an initial setting to the first programmable array of capacitors;
• measure an initial frequency generated by the VCO at the initial setting;
• determine a next setting for the first programmable array of capacitors using a non-successive iterative numerical technique;
• apply the next setting to the first programmable array of capacitors;
• measure a current frequency generated by the VCO at the next setting;
• and
• repeat the determination of the next setting for the first programmable array of capacitors, the application of the next setting for the first programmable array of capacitors and the measurement of the generated frequency until the current frequency is within a first desired threshold of a target frequency.

A wireless communications device comprising a voltage controlled oscillator (VCO) having a first programmable array of capacitors and a programming module, wherein the programming module is configured to:

• apply an initial setting to the first programmable array of capacitors;
• measure an initial frequency generated by the VCO at the initial setting;
• determine a next setting for the first programmable array of capacitors using a non-successive iterative numerical technique;
• apply the next setting to the first programmable array of capacitors;
• measure a current frequency generated by the VCO at the next setting;
• and
• repeat the determination of the next setting for the first programmable array of capacitors, the application of the next setting for the first programmable array of capacitors and the measurement of the generated frequency until the current frequency is within a first desired threshold of a target frequency.