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

2013-12-09 Thread bieniu
Martin Braun (CEL) wrote
 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.

Thank you very much for your reply. I am capable of simple converting value
in [dB] to the one in [W/W] but I don't know why there are the
number_of_bits_per_symbol parameter and the '2' constant in the equation.
It's probably trivial but I would really appreciate your help on this.

Best Regards,
Piotr Bieńkowski



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

2013-12-09 Thread Martin Braun (CEL)
On Mon, Dec 09, 2013 at 03:10:49AM -0800, bieniu wrote:
 Martin Braun (CEL) wrote
  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.
 
 Thank you very much for your reply. I am capable of simple converting value
 in [dB] to the one in [W/W] but I don't know why there are the
 number_of_bits_per_symbol parameter and the '2' constant in the equation.
 It's probably trivial but I would really appreciate your help on this.

The number_of_bits_per_symbol is for E_s - E_b conversion and the 2 is
for two-sided noise power to one-sided conversion (or was is the other
way 'round? I always mix those up :).

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

2013-12-09 Thread bieniu
Thank you very much :)

BR,
Piotr Bieńkowski



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

2013-12-08 Thread Martin Braun (CEL)
On Sat, Dec 07, 2013 at 02:26:18PM +0100, bie...@student.agh.edu.pl 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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