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| Keywords: Phase-modulation.gif en This visualization describes phase modulation The wave displayed in red is the carrier signal a sinusoidal wave with its frequency tripled base frequency The wave displayed in blue is the modulating signal also a sinusoidal wave with its frequency doubled the base frequency This modulating signal is positioned perpendicular to the carrier signal for the purpose of visualizing this type of modulation The modulating signal blue determines the instantaneous phase of the carrier signal red of which current value will be the resulting signal --- To generate this visualization we first draw the carrier t-2Ï ; t+2Ï and modulating signal t; t+4Ï perpendicular to each other; the modulating signal x-axis is aligned with the carrier's y-axis We then draw a line from the modulating signal's value at time t and extend it until it intersects with the carrier signal We then draw a line from that intersection until we intersect the reflector 45-degree backslash line and extend it horizontally until we reach the output signal's buffer The equation is g x Ï /2 sin 2 2Ï t + Ï /2 sin 3 2Ï t other versions own All amplitudes are at Ï /2 for the sake of aesthetics The carrier signal usually has amplitude from -1; 1 This visualization's source code is available in Javascript at https //github com/khoin/PM-visualization There is also a live version where the frequency ratios are variable and with sound at https //kh01 me/code/phase-modulation cc-zero Signal processing diagrams Animations of physics Phase modulation Animated GIF files | ||||
