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Determination of Amplitudes of the Frequency Components present in a Single Tone Amplitude Modulated Carrier through Lissajous Figures

This paper presents a technique for determining the amplitudes of the frequency components present in a single tone amptitude modulated sinusoidal carrier wave through the use of Lissajous figures. The amplitude modulated signal and the reference sine wave are applied to the deflection plates of cathode ray oscilloscope (CRO), which is being operated in X-Y mode. Appropriate selection of the reference signal amplitude based on a certain criterion used in conjunction with the Lissajous figure will enable the determination of the amplitudes of the side frequency components. The mathematical equations, experimental results along with the limitations of this method are presented.