File:Phase-modulation.gif

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Phase-modulation.gif(600 × 600 pixels, file size: 806 KB, MIME type: image/gif, looped, 59 frames, 3.5 s)

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Summary

Description
English: This visualization describes phase modulation.

The wave displayed in red is the carrier signal, a sinusoidal wave with its frequency doubled base frequency. The wave displayed in blue is the modulating signal, also a sinusoidal wave, with its frequency tripled 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-2π; t+2π] and modulating signal [t; t+4π] 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) = π/2 * sin( 2 * 2π * t + π/2 * sin( 3 * 2π * t ))
Date
Source Own work
Author Potasmic
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

All amplitudes are at π/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.


Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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2 July 2016

File history

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Date/TimeThumbnailDimensionsUserComment
current07:57, 11 July 2016Thumbnail for version as of 07:57, 11 July 2016600 × 600 (806 KB)PotasmicInverted modulation wave (was incorrect). Amplitude annotation (for scale). Time markers, horizontal axes. Reduced from 72 frames to 59 frames. File size down to 806KB.
21:30, 9 July 2016Thumbnail for version as of 21:30, 9 July 2016600 × 600 (841 KB)PotasmicUser created page with UploadWizard

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