Multidimensional modulation
modifying or multiplying a multidimensional signal (typically sinusoidal and referred to as the carrier signal) with another signal that carries some information or message
Multidimensional modulation (MD modulation) is modifying or multiplying an MD signal (typically sinusoidal and referred to as the carrier signal) with another signal that carries some information or message. In the frequency domain, the signal is moved from one frequency to another.
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Typically the carrier signal is a sinusoidal signal and in various applications. The figures below illustrate a quick example of a 2-D modulation. The original signal from (3) is modulated with a sinusoidal signal to get (4). The equations (5) and (6) are the real and the imaginary components of the modulated signal.
Background/Motivation
The MD modulation is one of the properties of the Multidimensional Fourier Transform.
MD Fourier Transform (FT)
Fourier Transform (FT) of multi-dimensional (MD) signal or system is the transform of the MD signal or system that decomposes it into its frequency components. Essentially, it is the frequency response of the MD signal or system, so it depicts the frequency characteristics of the signal or system. A special case of the MD transform is the 1-D Fourier transform.
The public source identifies “Multidimensional modulation” as modifying or multiplying a multidimensional signal (typically sinusoidal and referred to as the carrier signal) with another signal that carries some information or message. This brief keeps that definition visible, then builds a research path around Multidimensional, modulation and modifying.
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This entry incorporates text from “Multidimensional modulation” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.