The angle between a vector representing a specified complex number on an Argand diagram and the positive real axis. Also argument. (navigation) Angular distance north or south of the prime vertical; the arc of the horizon, or the angle at the zenith between the prime vertical and a vertical...
Complex number representation of amplitude and phaseELSEVIERDynamics of Fixed Marine Structures (Third Edition)
I see some confusing definitions saying the amplitude of a complex number is the argument or phase of the complex number, as in the following examples. What is the amplitude of a complex number? Here, r is the modulus and θ is the amplitude or argument of a complex ...
Amplitude and phase error normalization of subcarrier generator As used herein, magnitude and phase values are used to characterize a subcarrier signal. It will be understood, however, that such characteristics may be expressed as a magnitude, phase real number pair or a complex number pair. For...
5.PhysicsThe maximum absolute value of a periodically varying quantity. 6.Mathematics a.The maximum absolute value of a periodic curve measured along its vertical axis. b.The angle made with the positive horizontal axis by the vector representation of a complex number. ...
Complex Amplitude a representation of the amplitude A and phase Ψ of a harmonic oscillation x = A cos (ωt + Ψ) with the aid of the complex number à = A exp(iΨ) = A cos Ψ + iA sin Ψ. In this case, the harmonic oscillation can be described by the expression x = Re [...
If $M\in\mathbb{C}$, then it can be written in terms of its magnitude and phase: $M = \vert M \vert e^{i\phi}$. This lets us see that the effect of a complex value of $M$ will be to add a phase bias. Share Cite Follow answered Aug 2 at 17:03 AnonSu...
For the interference pattern to have a good contrast, the amplitudes ofψrandψuhave to be of a similar order. For instance, the phase of an unknown state with strong position correlations would be well resolved if the reference has the same spread of the spatial correlations, whereas the ...
This paper focuses on the estimation of the instantaneous amplitude, phase, and unbalance parameters in three-phase power systems. Due to the particular structure of three-phase systems, we demonstrate that the maximum-likelihood estimates (MLEs) of the unknown parameters have simple closed-form exp...
Amplitude Phase If we vary the amplitude of the carrier wave in accordance with the modulating signal (input signal), it is known as amplitude modulation. Similarly, it can be frequency modulation and phase modulation, too. In other words, modulation is the phenomenon of “superimposition of the...