From 6a86853dc5965b5cd06537a2e05ba38980071051 Mon Sep 17 00:00:00 2001 From: Nao Pross Date: Fri, 20 Aug 2021 09:20:33 +0200 Subject: Corrections --- tex/lti.tex | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) (limited to 'tex/lti.tex') 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} -- cgit v1.2.1