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diff --git a/tex/lti.tex b/tex/lti.tex index 812c1d4..2e1819a 100644 --- a/tex/lti.tex +++ b/tex/lti.tex @@ -67,17 +67,17 @@ The spectrum of a sinusoidal signal of frequency \(\omega_1\) is only one weight To measure the distortion of a signal in the English literature there is the \emph{total harmonic distortion} (THD) defined as \[ - \text{THD} = \frac{1}{d_1}\sqrt{\sum_{i=1}^n d_i^2}. + \text{THD} = \frac{1}{d_1}\sqrt{\sum_{i=2}^n d_i^2}. \] In the German literature there is the distortion factor (\emph{Klirrfaktor}, always between 0 and 1) \[ - k = \sqrt{\frac{d_2 + d_3 + \cdots + d_n}{d_1 + d_2 + \cdots + d_n}}. + k = \sqrt{\frac{d^2_2 + d^2_3 + \cdots + d^2_n}{d^2_1 + d^2_2 + \cdots + d^2_n}}. \] Both are usually given in percent (\%) and are related with \[ (\text{THD})^2 = \frac{k^2}{1-k^2}, \] -thus THD \(\leq k\). +thus THD \(\geq k\). \subsection{Stochastic inputs} |