Magnetic sensor for measuring an external magnetic field angle in a two-dimensional plane, including: a first and second sensing unit outputting, respectively, a first signal sin(θ) and a second signal cos(θ); a first multiplying DAC receiving the first signal and a first digital input sin(f*t) and outputting a first modulated output signal; a second multiplying DAC receiving the second signal and a second digital input cos(f*t) and outputting a second modulated output signal; a first RC filter receiving the first modulated output signal and outputting a first filtered signal sin(θ)*sin(f*t+RCd); a second RC filter receiving the second modulated output signal and outputting a second filtered signal sin(θ)*sin(f*t+RCd); an adder adding the first and second filtered signals and outputting a summed signal cos(f*t+RCd+θ); and an angle extracting unit for measuring the phase delay between the summed signal and a synchronization signal and determining the angle from the phase delay.