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low_pass [2015/02/10 10:41]
schultz
low_pass [2015/02/10 10:47] (current)
schultz
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-We decided to use a sample rate of 10 kHz. This figure shows the signal collected when the receiver is pointed at the room lights and the sample ​rate is set at SR=10 kHz. This signal is entirely noise.+We decided to use a sampling frequency ​of 10 kHz. This figure shows the signal collected when the receiver is pointed at the room lights and the sample ​frequency ​is set at FS=10 kHz. This signal is entirely noise.
  
 {{ :​noise_5k.jpg |}} {{ :​noise_5k.jpg |}}
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 The signal amplitude would need to be larger than the noise spikes otherwise the system would record a hit every time the gun picked up the room lights. So it would be good to reduce the noise if possible.  ​ The signal amplitude would need to be larger than the noise spikes otherwise the system would record a hit every time the gun picked up the room lights. So it would be good to reduce the noise if possible.  ​
  
-The first step is to determine if the noise has the frequency components shown in the previous plot or if it is an aliased signal. ​ The next plot shows the same noise signal collected at sample ​rates of SR=500 kHz and SR=100 kHz.  The signals that line up in frequency are the actual frequencies. ​ As you can see, the dominant noise frequencies are around 20 kHz and 40 kHz. There is also another noise spike around 85 kHz.  With a sample ​rate of SR=100 kHz this signal gets aliased down to around 15 kHz.   +The first step is to determine if the noise has the frequency components shown in the previous plot or if it is an aliased signal. ​ The next plot shows the same noise signal collected at sample ​frequencies ​of FS=500 kHz and FS=100 kHz.  The signals that line up in frequency are the actual frequencies. ​ As you can see, the dominant noise frequencies are around 20 kHz and 40 kHz. There is also another noise spike around 85 kHz.  With a sample ​frequency ​of FS=100 kHz this signal gets aliased down to around 15 kHz.   
  
 {{ :​noise_500k.jpg |}} {{ :​noise_500k.jpg |}}
  
-The following plot shows the noise sampled at SR=100 kHz zoomed in to the frequency band of the players. ​ This plot shows that the noise is very low over this band.  This means that the noise over the frequency band of interest (1-4 kHz) can be eliminated by passing the signal through a low pass filter before down sampling.+The following plot shows the noise sampled at FS=100 kHz zoomed in to the frequency band of the players. ​ This plot shows that the noise is very low over this band.  This means that the noise over the frequency band of interest (1-4 kHz) can be eliminated by passing the signal through a low pass filter before down sampling.
  
 {{ :​noise_5_100k.jpg |}} {{ :​noise_5_100k.jpg |}}
  
  
low_pass.1423590084.txt.gz ยท Last modified: 2015/02/10 10:41 by schultz