Methods and apparatus for using Taylor series expansion concepts to substantially reduce nonlinear distortion
First Claim
1. An apparatus for substantially reducing nonlinear distortion, the apparatus comprising:
- a nonlinear device having an input and an output, the nonlinear device having a Taylor series expansion describing an output current, i0, in terms of an input voltage, v, as i0=b0+b1v+b2v2+b3v3+b4v4 . . . ; and
a nonlinear load having an input in communication with the output of the nonlinear device and in communication with a final output, the nonlinear load has a Taylor series expansion describing a current through the nonlinear load, iL, in terms of a terminal voltage, vL, as iL=a0+a1vL+a2vL2+a3vL3+a4vL4, such that the nonlinear device and the nonlinear load are provided such that most nearly b0=a0, b1=ca1, b2=c2a2, b3=c3a3, bn=cnan where, c, is a constant, wherein the output of the nonlinear device substantially reduces nonlinearities of the nonlinear device and the nonlinear load.
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Abstract
Methods and apparatus are provided for substantially reducing and/or canceling nonlinearities of any order in circuits, devices, and systems such as amplifiers and mixers. In particular, methods and apparatus are provided for substantially reducing and/or canceling third order nonlinearities in circuits, devices, and systems such as amplifiers and mixers. A first coupler is used to split an input signal into two equal-amplitude in-phase components, each component is processed by two nonlinear devices with different nonlinearities, and a final combiner, such as a 180-degree hybrid, recombines the processed signals 180 degrees out of phase and substantially reduces and/or cancels the undesired nonlinear distortion components arising due to nonlinearities in the nonlinear devices.
143 Citations
4 Claims
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1. An apparatus for substantially reducing nonlinear distortion, the apparatus comprising:
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a nonlinear device having an input and an output, the nonlinear device having a Taylor series expansion describing an output current, i0, in terms of an input voltage, v, as i0=b0+b1v+b2v2+b3v3+b4v4 . . . ; and
a nonlinear load having an input in communication with the output of the nonlinear device and in communication with a final output, the nonlinear load has a Taylor series expansion describing a current through the nonlinear load, iL, in terms of a terminal voltage, vL, as iL=a0+a1vL+a2vL2+a3vL3+a4vL4, such that the nonlinear device and the nonlinear load are provided such that most nearly b0=a0, b1=ca1, b2=c2a2, b3=c3a3, bn=cnan where, c, is a constant, wherein the output of the nonlinear device substantially reduces nonlinearities of the nonlinear device and the nonlinear load. - View Dependent Claims (2, 3)
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4. A method for substantially reducing nonlinear distortion in an apparatus, the method comprising the steps of:
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applying an input voltage to a nonlinear device, the nonlinear device having a Taylor series expansion describing an output current, io, in terms of an input voltage, v, as io=b0+b1v+b2v2+b3v3+b4v4 . . . ;
coupling an output current of the nonlinear device to a nonlinear load, the nonlinear load having a Taylor series expansion describing current through the nonlinear load, iL, in terms of a terminal voltage, vL, as iL=a0+a1vL+a2vL2+a3vL3+a4vL4 . . . , and the nonlinear device and the nonlinear load are provided such that most nearly b0=a0, b1=ca1, b2=c2a2, b3=c3a3, . . . , bn=cnan where, c, is a constant; and
outputting the terminal voltage at the nonlinear load to substantially reduce nonlinear terms and nonlinear signal distortion.
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Specification