Cartesian and polar representations each have advantages, with the Cartesian coordinates showing the real and imaginary parts of the phasor and the polar coordinates showing its magnitude and phase.
42.
A phasor is represented by a constant complex number, usually expressed in exponential form, representing the complex amplitude ( magnitude and phase ) of a sinusoidal function of time.
43.
But the product of two phasors ( or squaring a phasor ) would represent the product of two sinusoids, which is a non-linear operation that produces new frequency components.
44.
There are currently four companies which have grown out of the original Joyce, Loebl & Company Ltd : Loebl Ltd, Sevcon Ltd, Applied Imaging Ltd, and Phasor Ltd.
45.
One can interpret the added phasor term e ^ { j \ omega T } to represent the effect of a time-shift on of the spectral autocorrelation of the signal.
46.
This facilitate the analysis since each spectrum and decay is transformed into a unique position on the phasor plot which depends on its spectral width or emission maximum or to its average lifetime.
47.
For instance, the North American Synchro Phasor Initiative ( NASPI ) sponsored by the North American Electric Reliability Corporation ( NERC ) wanted to use the COMTRADE file format to exchange synchrophasor data.
48.
Where " V " denotes Voltage in phasor form, with the amplitude as rms, and " I " denotes current in phasor form, with the amplitude as rms.
49.
Where " V " denotes Voltage in phasor form, with the amplitude as rms, and " I " denotes current in phasor form, with the amplitude as rms.
50.
This suggest that by taking the Fourier transformation of a measured decay curve and mapping the result on the phasor plot the lifetime can be estimated from the position of the phasor on the semicircle.
