Abstract: Apparatus and methods for implementation of mathematical functions apparatus providing both speed and accuracy. Disclosed are specific circuits and methods of operation thereof that may be used for the purpose of implementing an exponential function, a squaring function, and a cubic function, using the same basic circuit. By applying a desired weighting function on a current source, an output current provides a value that corresponds exactly to the desired mathematical functions at discrete points, and closely tracks values in between the discrete points. The precision is defined by the selection of a voltage reference for the circuit. Various embodiments are disclosed, as well as embodiments implementing other exemplary functions.

Abstract: In many circuits, including those operating in radio frequency (RF), there is commonly a need to perform DC offset cancellation. The DC offset is an error in an output signal in respect to the input that may cause a circuit to enter into undesirable or non-tolerable conditions of operation. While in most cases a static solution is provided the use of an analog loop may be inappropriate because of the adverse impact on speed. By adding a fast feedback loop finely impacting the adjustment of an amplifier, both the initial calibration is achieved as well as a recalibration of the system.

Abstract: Apparatus and methods for implementation of mathematical functions apparatus providing both speed and accuracy. Disclosed are specific circuits and methods of operation thereof that may be used for the purpose of implementing an exponential function, a squaring function, and a cubic function, using the same basic circuit. By applying a desired weighting function on a current source, an output current provides a value that corresponds exactly to the desired mathematical functions at discrete points, and closely tracks values in between the discrete points. The precision is defined by the selection of a voltage reference for the circuit. Various embodiments are disclosed, as well as embodiments implementing other exemplary functions.

Abstract: In many circuits, including those operating in radio frequency (RF), there is commonly a need to perform DC offset cancellation. The DC offset is an error in an output signal in respect to the input that may cause a circuit to enter into undesirable or non-tolerable conditions of operation. While in most cases a static solution is provided the use of an analog loop may be inappropriate because of the adverse impact on speed. By adding a fast feedback loop finely impacting the adjustment of an amplifier, both the initial calibration is achieved as well as a recalibration of the system.