LSB interpolation circuit and method for segmented digital-to-analog converter

An interpolation circuit for digitally interpolating between a first voltage on a first conductor and a second voltage on a second conductor comprising:

• (a) a plurality of differential voltage-to-current converter circuits each including a first transistor and a second transistor each having a first electrode coupled to a corresponding current source;
• (b) an output amplifier producing an output voltage coupled to a control electrode of each of the second transistors;
• (c) a switch circuit adapted to selectively couple control electrodes of corresponding first transistors to one or the other of the first conductor and the second conductor in response to a plurality of digital bit signals, respectively;
• and
• (d) a first load device coupled by a third conductor to a second electrode of each of the first transistors and an inverting input of the output amplifier, and a second load device coupled by a fourth conductor to a second electrode of each of the second transistors and a non-inverting input of the output amplifier.

An M+N bit digital-to-analog converter (DAC) for monotonically converting an M+N bit input word including an M-bit MSB subword and an N-bit LSB subword to an analog output signal, comprising:

• (a) a string DAC section including
• I. a plurality of series-connected string resistors,
• ii. a first switching circuit adapted to both selectively couple a first terminal of each string resistor to a first conductor and selectively couple a second terminal of each resistor to a second conductor in response to the MSB subword so as to selectively couple voltages on the first and second terminals of selected string resistors to the first and second conductors, respectively;
• and
• (b) an interpolation DAC section for digitally interpolating between a first voltage on the first conductor and a second voltage on the second conductor, including
• I. a plurality of voltage-to-current converter circuits each including a non-inverting input, an inverting input, and a current source establishing a bias current in the voltage-to-current converter,
• ii. an output amplifier coupled to produce an output voltage in response to the sum of a plurality of currents produced by the plurality of voltage-to-current converter circuits, the output voltage being coupled to a gate of each of the second transistors, the current produced by each voltage-to-current converter being related to the bias current in that voltage-to-current converter,
• iii. a second switching circuit adapted to selectively couple the non-inverting inputs of corresponding voltage-to-current converter circuits to one or the other of the first and second conductors in response to the LSB subword, respectively.

An M+N bit segmented digital-to-analog converter (DAC) for monotonically converting an M+N bit input word including an M-bit MSB subword and an N-bit LSB subword to an analog output signal, comprising:

• (a) a string DAC section including
• i. a plurality of series-connected string resistors,
• ii. a first switching circuit adapted to both selectively couple a first terminal of each string resistor to a first conductor and selectively couple a second terminal of each resistor to a second conductor in response to the MSB subword so as to selectively couple voltages on the first and second terminals of selected string resistors to the first and second conductors, respectively;
• and
• (b) an interpolation DAC section including
• i. a plurality of differential voltage-to-current converter circuits each including a first transistor and a second transistor each having a source coupled to a corresponding current source,
• ii. an output amplifier producing an output voltage coupled to a gate of each of the second transistors,
• iii. a second switching circuit adapted to selectively couple gates of corresponding first transistors to one or the other of the first and second conductors in response to the LSB subword, respectively, and
• iv. a first load device coupled by a third conductor to the drains of the first transistors and an inverting input of the output amplifier, and a second load device coupled by a fourth conductor to the drains of the second transistors and a non-inverting input of the output amplifier.

An M+N bit segmented digital-to-analog converter (DAC) for monotonically converting an M+N bit input word including both an M-bit MSB subword and an N-bit LSB subword to an analog output signal, comprising:

• (a) a string DAC section including
• i. a plurality of series-connected string resistors,
• ii. a first switching circuit coupling a first terminal of each string resistor to a first conductor and coupling a second terminal of each resistor to a second conductor, and
• iii. MSB subword decoding circuitry coupled to the first switching circuit and adapted to decode the MSB subword and actuate the switch circuitry so as to selectively couple voltages on the first and second terminals of a selected string resistor to the first and second conductors, respectively;
• and
• (b) an interpolation DAC section including
• i. an LSB subword decoder adapted to decode the LSB subword to produce switch actuation signals in response to the LSB subword,
• ii. a plurality of differential voltage-to-current converter circuits each including a first transistor and a second transistor each having a source coupled to a corresponding current source,
• iii. an output amplifier producing an output voltage coupled to a gate of each of the second transistors,
• iv. a second switching circuit coupled to the LSB subword decoder and adapted to selectively couple gates of corresponding first transistors to one or the other of the first and second conductors in response to the LSB subword, respectively, and
• v. a first load device coupled by a third conductor to the drains of the first transistors and an inverting input of the output amplifier, and a second load device coupled by a fourth conductor to the drains of the second transistors and a non-inverting input of the output amplifier.

A method of interpolating between a first voltage and a second voltage, comprising:

• (a) providing a plurality of fully differential stages each including a first input transistor and a second input transistor and a tail current source coupled to both a source electrode of the first input transistor and a source electrode of the second input transistor, a gate electrode of each second input transistor being coupled to an output of a feedback amplifier circuit, the number of the fully differential stages determining the number of interpolated voltage levels available between the first and second voltages;
• (b) coupling a gate electrode of each of a first predetermined number of the first input transistors to the second voltage and a gate electrode of each of a second predetermined number of the first input transistors to the first voltage, the first predetermined number being determinative of a desired interpolated voltage level between the first and second voltages;
• (c) conducting drain currents of all of the first input transistors into a first summing conductor, and conducting drain currents of all of the second input transistors into a second summing conductor;
• and
• (d) operating the feedback amplifier to adjust the voltage on the gate electrodes of the second input transistors in response to the currents in the first and second summing conductors so as to equalize the currents in the first and second summing conductors, the voltage of the gates of the second input transistors being equal to the desired interpolated voltage level.

A method of interpolating between a first voltage and a second voltage, comprising:

• (a) providing a plurality of fully differential voltage-to-current converter stages each having an inverting input coupled to an output of a feedback amplifier circuit, each voltage-to-current converter stage including a current source establishing a bias current in that voltage-to-current converter stage, the number of the fully differential voltage-to-current converter stages determining the number of interpolated voltage levels available between the first and second voltages;
• (b) coupling a non-inverting input of each of a first predetermined number of the voltage-to-current converter stages to the second voltage and a non-inverting input of each of a second predetermined number of the voltage-to-current converter stages to the first voltage, the first predetermined number being determinative of a desired interpolated voltage level between the first and second voltages;
• (c) conducting currents in non-inverted outputs of all of the voltage-to-current converter stages into a first summing conductor, and conducting currents in inverted outputs of all of the voltage-to-current stages into a second summing conductor, the current produced by each voltage-to-current converter stage being related to the bias current in that voltage-to-current converter stage;
• and
• (d) operating the feedback amplifier to adjust the voltage on the inverting inputs of all of the voltage-to-current converter stages in response to the currents in the first and second summing conductors so as to equalize the currents in the first and second summing conductors, the voltage of the inverting inputs of the voltage-to-current converter stages being equal to the desired interpolated voltage level.