It helps to understand that some kind of amplitude-related non-linearity in the AUT is always the first cause; that harmonic distortion is but one symptom of the sum of the non-linearities in the AUT's signal path; and that other kinds of distortion (e.g. see IMD, DIM, SID) are no...
Total Harmonic Distortion (THD) produced by an amplifier is defined mathematically as ‘the ratio of the square root of the sum of the squares, of the rms value of each individual harmonic; to the rms value of the output signal’. In other words, measure and sum the rms voltage of each...
Referring now to FIG. 2, as pulse density decreases, higher frequencies have more energy, and the ratio of the first harmonic to the third harmonic goes down. FIG. 2 illustrates a plot of magnitude versus frequency for various densities. Magnitudes can be calculated from a sum of Fourier ser...
Referring now to FIG. 2, as pulse density decreases, higher frequencies have more energy, and the ratio of the first harmonic to the third harmonic goes down. FIG. 2 illustrates a plot of magnitude versus frequency for various densities. Magnitudes can be calculated from a sum of Fourier ser...
\begin{aligned} H_t^{\alpha ,\beta ;\,\textrm{exo}}(\theta , \varphi )= & {} \sum _0^\infty \exp \Big (-t\big (\lambda _n^{\alpha ,\beta ;\,\textrm{exo}}\big )^{1/2}\Big ) \Phi _n^{\alpha ,\beta ;\,\textrm{exo}}(\theta )\Phi _n^{\alpha ,\beta ;\,...
We restrict primes and prime powers to sets. Let. Then the error inθH(x) has, unconditionally, the expected order of magnitude. However, ifthenψH(x) =xlog 2 +O(logx). Some reasons for and consequences of these sharp results are explored. A proof is given of the "harmonic prime nu...
Abstract We solve the shifted wave equation on a non-compact simply connected harmonic manifold with mean curvature of the horospheres. We give an explicit representation of the solution as the inverse dual Abel transform of the spherical means of their initial conditions using the local injectivity...
The sum of all losses provides the thermal emissions. Due to reflection at interfaces, and the presence of thermal gradients, the emissions of a large solid are modified from those of an ideal BB, as described in Chapter 2 and below. The bottom line is that absolute intensities have not be...
c. 1600, in reference to Greek music, from Late Latin enharmonicus, from Greek enharmonikos, from en (see en- (2)) + harmonikos (see harmonic). From 1794 in reference to a modern music note that can be indicated in different ways (G sharp/A flat). harmonica harmonics philharmonic ...
A Total Supraharmonic Distortion (TSHD) index is considered similar to the classic Total Harmonic Distortion (THD); that is, corresponding to the root of the sum of the square of normalized component amplitudes. The use of subscript “I” indicates that the index refers to the current. 𝑇...