They are designed based on the two identities of the absolute value and squared value integrals of the sinusoidal waveforms and are numerically evaluated by the composite trapezoidal rule without the requirement of additional computer memory. Three numerical examples under FDTD simulations are conducted ...
Any waveshape other than a pure sine wave will have a different ratio of RMS and average values, and thus a meter calibrated for sine-wave voltage or current will not indicate true RMS when reading a non-sinusoidal wave. Bear in mind that this limitation applies only to simple, analog AC...
aIn this case G(jw) displays singularities which imply that the magnitude of the frequency spectrum is infinite at w = ± w , whereas we have fact chosen a sinusoidal wave of unit amplitude as our time function. This difficulty arises because by putting s =jw we are effectively trying to...
As for the slope σ3, it expresses the variation with M of the duration parameter t0 defined by Gutenberg and Richter (1942) as the time over which “equal sinusoidal waves” are recorded at a near-field receiver. From a modern theoretical standpoint, t0 would be expected to scale with th...
This example shows how to use the cross spectrum to obtain the phase lag between sinusoidal components in a bivariate time series. The example also uses the magnitude-squared coherence to identify significant frequency-domain correlation at the sine wave frequencies....
one-dimensional wave propagation theory in Beresnev and Wen31, a 5-Hz sinusoidal wave with an amplitude of 1 m/s2leads to a dynamic shear strain of 1 × 10−4at a typical stiff-soil site of a shear-wave velocity of 320 m/s, which generates a shear modulus reduction of ~5...
Another example is amplitude modulation in which three sinusoidal components with slightly different frequencies are contained. Suppose a sum of three sinusoidal components such that (see Exercises 3.4-2) (4.40)y(t)=m2sin(ωc−Δω)t+sinωct+m2sin(ωc+Δω)t=(1+mcosΔωt...
This can be done by multiplying the average dc magnitude computed previously by the sinusoidal fraction of the measured phase at each trial with the computed phase shift error removed. The calculation appears as follows: (12) (13) The ϕPHASE_SHIFT is the phase error previously computed and ...
Today's experiment provides practical experience with the meaning of magnitude and phase in a linear circuits and the use of phasor algebra to predict the response of a linear system to a sinusoidal input. Using the digital oscilloscopes, we can better understand the true implications of ...
Dotted line 41 represents an ideal sinusoidal signal represented by increasing the value of the 20 bit digital input word from a bipolar zero (BPZ) value I0 to its maximum positive full scale value +IMAX, decreasing it back through the BPZ value to its maximum negative or negative full ...