CMOS negative resistance/Q enhancement method and apparatus

An apparatus for optimizing a quality factor Q associated with an electrical resonator system, comprising:

• a resonator circuit including at least an inductor and a capacitor;
• an optimizing circuit for providing a negative resistance, wherein the optimizing circuit (i) is electrically coupled to the resonator circuit, and (ii) includes a first PMOS transistor and a first NMOS transistor being a first transistor pair, and a second PMOS transistor and a second NMOS transistor being a second transistor pair, each transistor pair arranged in a CMOS configuration, wherein the resonator is electrically coupled between the drains of the first transistor pair and the second transistor pair;
• a current source including a fifth transistor electrically coupled in series with the transistors in the CMOS configuration between a supply voltage and a ground reference voltage, such that a first control voltage applied to the fifth transistor controls current flowing through the transistors in the CMOS configuration
• wherein a PMOS transistor from the first pair of transistors and a PMOS transistor from the second pair of transistors are capacitively cross-coupled with inputs to the resonator, a second control voltage biases the PMOS transistor from the first pair of transistors through a first bias resistor, and the second control voltage biases the PMOS transistor from the second pair of transistors through a second bias resistor;
• wherein an NMOS transistor from the first pair of transistors and an NMOS transistor from the second pair of transistors are capacitively cross-coupled with inputs to the resonator, a third control voltage biases the NMOS transistor from the first pair of transistors through a third bias resistor, and the third control voltage biases the NMOS transistor from the second pair of transistors through a fourth bias resistor;
• and,
• each of the gates of the transistors in the CMOS configuration are capacitively coupled to a ground reference voltage.

A method of optimizing a quality factor Q associated with an electrical resonator system, comprising:

• providing a resonator circuit including at least an inductor and a capacitor;
• providing a negative resistance via an optimizing circuit, wherein the optimizing circuit (i) is electrically coupled to the resonator circuit through capacitors;
• and,
• adjusting one or more control voltages applied to the optimizing circuit so as to improve the quality factor Q associated with the resonator circuit.

A method of optimizing a quality factor Q associated with an electrical resonator system, comprising:

• providing a resonator circuit including at least an inductor and a capacitor;
• providing a negative resistance via an optimizing circuit, electrically coupling the optimizing circuit to the resonator circuit, and including in the optimizing circuit a first transistor and a second transistor being a first transistor pair, and a third transistor and a fourth transistor being a second transistor pair, arranging each transistor pair in a CMOS configuration, and electrically coupling the resonator between the drains of the first transistor pair and the second transistor pair;
• providing a current source including a fifth transistor electrically coupled in series with the transistors in the CMOS configuration between a supply voltage and a ground reference voltage, such that a first control voltage applied to the fifth transistor controls current flowing through the transistors in the CMOS configuration
• capacitively cross-coupling a PMOS transistor from the first pair of transistors and a PMOS transistor from the second pair of transistors with inputs to the resonator, biasing the PMOS transistor from the first pair of transistors with a second control voltage through a first bias resistor, and biasing the PMOS transistor from the second pair of transistors with the second control voltage through a second bias resistor;
• capacitively cross-coupling an NMOS transistor from the first pair of transistors and an NMOS transistor from the second pair of transistors with inputs to the resonator, biasing the NMOS transistor from the first pair of transistors with a third control voltage through a first bias resistor, and biasing the NMOS transistor from the second pair of transistors with the third bias voltage through a second bias resistor;
• and,
• capacitively coupling each of the gates of the transistors in the CMOS configuration to a ground reference voltage.

A circuit for providing a negative resistance across a first input and a second input, comprising:

• a first CMOS transistor pair cross-coupled with the first and second inputs, including a first PMOS transistor and a first NMOS transistor electrically connected at a drain coupling;
• a second CMOS transistor pair cross-coupled with the first and second input, including a second PMOS transistor and a second NMOS transistor electrically connected at a drain coupling, the second CMOS pair being arranged in parallel with the first CMOS pair such that a source of the first PMOS transistor is electrically coupled to a source of the second PMOS transistor, and a source of the first NMOS transistor is electrically coupled to a source of the second NMOS transistor and to a ground reference voltage;
• a first biasing voltage for biasing the PMOS transistors, and a second biasing voltage for biasing the NMOS transistors;
• and,
• a current source electrically coupled between a supply voltage and the sources of the PMOS transistors, such that a current-control voltage applied to the current source controls current flowing through the transistor pairs in the CMOS configuration.

A circuit for providing a negative resistance across a first input and a second input, comprising:

• a first CMOS transistor pair including a first PMOS transistor and a first NMOS transistor electrically connected at a drain coupling;
• a second CMOS transistor pair including a second PMOS transistor and a second NMOS transistor electrically connected at a drain coupling, the second CMOS pair being arranged in parallel with the first CMOS pair such that a source of the first PMOS transistor is electrically coupled to a source of the second PMOS transistor, and a source of the first NMOS transistor is electrically coupled to a source of the second NMOS transistor and to a ground reference voltage;
• a current source transistor electrically coupled between a supply voltage and the sources of the PMOS transistors, such that a control voltage applied to the current source transistor controls current flowing through the transistor pairs in the CMOS configuration;
• wherein:
• (a) the first input is electrically coupled to the drain coupling of the first transistor pair;
• (b) the second input is electrically coupled to the drain coupling of the second transistor pair;
• (c) gates of the first PMOS transistor and the second PMOS transistor are capacitively cross-coupled with the first input and the second input;
• (d) gates of the first NMOS transistor and the second NMOS transistor are capacitively cross-coupled with the first input and the second input;
• (e) a first control voltage biases the first PMOS transistor through a first bias resistor, and the first control voltage biases the second PMOS transistor through a second bias resistor;
• (f) a second control voltage biases the first NMOS transistor through a first bias resistor, and the second control voltage biases the second NMOS transistor through a second bias resistor;
• (g) each of the first and second PMOS transistors and the first and second NMOS transistor includes a gate capacitively coupled to the ground reference voltage.

An apparatus comprising:

• a resonator circuit including at least an inductor and a capacitor;
• an optimizing circuit for providing a negative resistance, wherein the optimizing circuit (i) is electrically coupled to the resonator circuit, (ii) includes at least two PMOS transistors or two NMOS transistors electrically coupled to the resonator circuit through capacitors, and (iii) receives at least one control voltage for selectively biasing one or more of the transistors and varying the negative resistance.
• a Q measuring circuit electrically coupled to the resonator circuit for measuring a quality factor associated with the resonator circuit and for producing a quality factor signal corresponding to the quality factor;
• and,
• a controller circuit for receiving the quality factor signal and a reference Q signal, and producing the at least one control voltage therefrom, so as to adjust a quality factor Q associated with the resonator circuit commensurate with the reference Q signal.