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Re: [Discuss-gnuradio] BER AWGN example - question


From: Martin Braun (CEL)
Subject: Re: [Discuss-gnuradio] BER AWGN example - question
Date: Sun, 8 Dec 2013 15:48:57 +0100
User-agent: Mutt/1.5.21 (2010-09-15)

On Sat, Dec 07, 2013 at 02:26:18PM +0100, address@hidden wrote:
> Could you explain how the converting the EbNo value to the noise
> voltage in the following example is done?
> http://gnuradio.org/redmine/projects/gnuradio/repository/entry/gr-digital/examples/berawgn.py
> 
> I can see that there is a function (EbNo_to_noise_voltage)
> responsible for that but I have problem with understanding where
> this equation came from. Could you possibly explain it to me or at
> least recommend some book where I can find the solution?

Given an E_b of 1, what is the noise *voltage* (i.e. the expected
amplitude of the AWGN process) that will cause an E_b / N_0 of x, if E_b
/ N_0 is given in dB?
If you take pencil and paper, and solve for the noise voltage, you'll
get this equation.

MB

-- 
Karlsruhe Institute of Technology (KIT)
Communications Engineering Lab (CEL)

Dipl.-Ing. Martin Braun
Research Associate

Kaiserstraße 12
Building 05.01
76131 Karlsruhe

Phone: +49 721 608-43790
Fax: +49 721 608-46071
www.cel.kit.edu

KIT -- University of the State of Baden-Württemberg and
National Laboratory of the Helmholtz Association

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