(Click on the plot to enlarge)
The plot represents the decibel scaling function dB and its inverse, defined by
for real-valued x;
for strictly positive real-valued x. Note: is read " x in dB or " x expressed in dB".
Examples
(1) Illustrating the functions: and ; conversely: and .
(2) A representative application: let input power , output power and gain be related by . Then one can write rigorously the following
(a)
(b) instantiating with and and yields
(c) numerical example: is equivalent to
(3) Conversion to scientific notation: , for instance .
The scientific notation example shows that the graph for the interval from 0 to 10 suffices for calculating quick approximations for any argument value. Boute (talk) 05:25, 29 March 2012 (UTC)
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
to share – to copy, distribute and transmit the work
to remix – to adapt the work
Under the following conditions:
attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
You may select the license of your choice.
Captions
Add a one-line explanation of what this file represents
{{Information |Description=Plot (graph) of the decibel function and its inverse |Source={{own}} |Date=2010/07/31 |Author= Boute (~~~) |Permission= see below |other_versions=none }}
File usage
No pages on the English Wikipedia use this file (pages on other projects are not listed).