Low-Cost and High-Precision Inverse Sine Function Circuit
Keywords:
Inverse sine function circuit, Operation transconductance amplifier, Hyperbolic tangent circuit, Numerical approximationAbstract
This paper proposes a new estimation method of the inverse sine function transformation. By taking the approximation of the hyperbolic tangent function, the inverse hyperbolic tangent function and mathematic manipulation determine the appropriate signal gains with the numerical computer program. The inverse sine function comes with small errors and high accuracy when compared to the previous methods. The proposed inverse sine function circuit is synthesized from an operational transconductance amplifier (OTA) with a bipolar transistor differential-pair front end circuit and the appropriate configuration of the input signal and bias current. With an inverting summing amplifier circuit, it amplifies the signal according to the specified gain. The proposed circuit is compact. It consists of two amplifier circuits (Op-Amp) and two conductivity amplifiers (OTA) with some resisters. The results of a circuit simulator show the error of approximately 1.2 degrees and a Root Mean Square Error (RMSE) of the weighted frequency component 0.8%.
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