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Re: [Discuss-gnuradio] The threshold of energy detection


From: Maicon Kist
Subject: Re: [Discuss-gnuradio] The threshold of energy detection
Date: Fri, 12 Feb 2016 14:34:06 -0200

Hi Yan,

about the detection probability I can give you some hints.

When I implemented an energy detector in GNU Radio I did the following algorithm to obtain a good threshold value:
1- Calculate the energy of the channel when I know it was occupied over a period of time;
2- Select the probability of detection you want, lets say 95% (0.95);
3- Sort the energies you calculated in 1 in ascending order;
4- You threshold will the value of the energy at the position N*(1-0.95), where N is the length of your sorted list in step 3.

Basically, you will set as threshold the 5-percentil (for 95% of detection probability) of the energies calculated when the channel is occupied.

Best regards.

On February 12, 2016 at 12:56:47, Marcus Müller (address@hidden) wrote:

Hi Yan,

My original intention is to test whether there are signal transmission in a certain spectrum band. So at first I want to use energy detection and other methods to test which band has signal, and then compare the probability of detection in different SNR.

Unless your FFT is sized so that it exactly represents one channel per FFT bin, the FFT is superfluous and won't do anything useful, then, because power is equivalent in time and frequency domain.

I store the samples in /out.dat, cos I want to use the sample to calculate the detection probability.(But now I don’t know how to get detection probability, I wonder whether I can use the data to calculate it.)
I don't think that will help you. You need to think about how to estimate detection probability, and then record the data. Otherwise, you'll have data that you can't use....

Best regards,
Marcus

On 12.02.2016 15:51, Yan Huang wrote:

Hi all,

 

Thank you Marcus for your kind reply.

 

My original intention is to test whether there are signal transmission in a certain spectrum band. So at first I want to use energy detection and other methods to test which band has signal, and then compare the probability of detection in different SNR.

 

I store the samples in /out.dat, cos I want to use the sample to calculate the detection probability.(But now I don’t know how to get detection probability, I wonder whether I can use the data to calculate it.)

 

Thanks,

 

Yan

 

 

From: address@hidden [mailto:address@hidden] On Behalf Of Marcus Müller
Sent: 12 February 2016 11:52
To: address@hidden
Subject: Re: [Discuss-gnuradio] The threshold of energy detection

 

Hi Yan,


The threshold block converts your signal to 1 if you've been above the "high" value, unless it has fallen below "low" again. Everywhere else, it's 0. See the "documentation" tab in the block properties, or the GNU Radio doxygen manual [1].

But: Parseval's theorem states that energy in frequency and in time domain are directly proportional, so your

stream to vector -> FFT->complex to mag²-> vector to stream>moving average

can simply be replaced with a

complex to mag²->moving average

if detecting the average energy in your signal is all you want , which seems probable, seeing that length(average)≈length(FFT).

I'm not quite sure what your original intention was when storing (FFT->mag²->average) samples in test_sensor/out.dat; the signal after moving averaging is neither really frequency nor time domain. Out of curiosity: what do you want with that data?

There's very valid applications for frequency domain filters (a moving average is actually but a low pass FIR filter, in principle), but the convolution that filtering usually means is often replaced with a multiplication in time domain, which is much less CPU-intense and mathematically equivalent!

Best regards,
Marcus

[1] https://gnuradio.org/doc/doxygen/classgr_1_1blocks_1_1threshold__ff.html#details
¹ For new applications, I recommend Qt rather than WX -- the latter isn't going to be around forever.

On 12.02.2016 12:02, Yan Huang wrote:

Hi all,

 

I’m using USRP B210 to do spectrum sensing, and the flow graph as attached file. It can get a result that there is a peak at 5.8 GHz which is the receiving signal frequency.

 

But if I change the Moving Average block to a threshold, there is no output like previous one.

 

I want to ask how can I get a result have a peak at 5.8 GHz  in frequency domain using threshold. I can only get 1 or 0 in time domain not in frequency domain.

 

Is there anyone can give me some advice? Thanks in advance.

 

 

Yours Sincerely

 

Yan

 

  
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Please do not use, copy or disclose the information contained in this
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University of Nottingham.

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attachment may still contain software viruses which could damage your
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