A sensor, comprising: a signal generation module including a magnetic sensor to provide position information for generating first and second sinusoidal waveforms corresponding to the position information; a signal inversion module coupled to the signal generation module for inverting the first waveform to provide a first inverted waveform and for inverting the second waveform to provide a second inverted waveform, wherein the signal inversion module outputs the first and second waveforms in a first region and outputs the first and second inverted waveforms in a second region; and an analog signal processing module coupled to the signal inversion module, the analog signal processing module for providing an algebraic manipulation of the first waveform and the second waveform to generate a linear position output voltage signal; wherein the second region corresponds to -sin( θ) > cos( θ) where -sin( θ) refers to the inversion of the sine wave about an offset voltage, sin( θ) and cos( θ) embody the amplitudes and offsets associated with the sinusoids, and θ indicates an angle of a rotating magnet in the magnetic sensor, and wherein the linear position output voltage signal is defined by output = A sin θ + offset 1 k ⁢ A sin θ + A cos θ + 2 offset wherein the first and second sinusoidal waveforms are inverted in the second region; where offset is a vertical offset of the first and second waveforms with respect to ground, A is an amplitude of the first and second waveforms, and k is a real number affecting gain and vertical offset of the output; and the second region is complementary to the first region over a period. a signal generation module including a magnetic sensor to provide position information for generating first and second sinusoidal waveforms corresponding to the position information; a signal inversion module coupled to the signal generation module for inverting the first waveform to provide a first inverted waveform and for inverting the second waveform to provide a second inverted waveform, wherein the signal inversion module outputs the first and second waveforms in a first region and outputs the first and second inverted waveforms in a second region; and an analog signal processing module coupled to the signal inversion module, the analog signal processing module for providing an algebraic manipulation of the first waveform and the second waveform to generate a linear position output voltage signal; wherein the second region corresponds to -sin( θ) > cos( θ) where -sin( θ) refers to the inversion of the sine wave about an offset voltage, sin( θ) and cos( θ) embody the amplitudes and offsets associated with the sinusoids, and θ indicates an angle of a rotating magnet in the magnetic sensor, and wherein the linear position output voltage signal is defined by output = A sin θ + offset 1 k ⁢ A sin θ + A cos θ + 2 offset wherein the first and second sinusoidal waveforms are inverted in the second region; where offset is a vertical offset of the first and second waveforms with respect to ground, A is an amplitude of the first and second waveforms, and k is a real number affecting gain and vertical offset of the output; and the second region is complementary to the first region over a period.