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EEP306: Bit error rate

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communication engineering lab report, 5th sem, electrical engineering, IIT Delhi, eep306

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EEP306: Bit error rate

  1. 1. BER MEASUREMENT IN THE NOISY CHANNEL EEP306 Communication Engineering Lab Report Submitted By: INDRA BHUSHAN JITENDRA KUMAR MEENA UMANG GUPTA VIVEK MANGAL
  2. 2. Introduction: In digital transmission, the number of bit errors is the number of received bits of a data stream over a communication channel that have been altered due to noise, interference, distortion or bit synchronization errors. The bit error rate or bit error ratio (BER) is the number of bit errors divided by the total number of transferred bits during a studied time interval. BER is a unitless performance measure, often expressed as a percentage. The bit error probability pe is the expectation value of the BER. The BER can be considered as an approximate estimate of the bit error probability. This estimate is accurate for a long time interval and a high number of bit errors. Aim: To set up a digital communications systems over a noisy, band limited channel, with provision for line coding, and do BER measurements. Theoretical prediction: Bit Error Porbability (Pb) is a function of E0/N0 Pb=Q(√2*E0/N0) MATLAB CODE: samples=10^4; SNR=-16:0.5:9 msg=(rand(samples,1)>=0.5) energy=10*log10(sum (msg)/samples); n0=energy-SNR; biterror=zeros(1,length(SNR)); for i = 1:length(SNR) noise=wgn(samples,1,n0(i)); signal=msg+noise; signal=(signal>=0.5); biterror(1,i)=mean(msg~=signal);
  3. 3. end biterror figure plot (SNR,biterror); title 'SNR vs Bit Error Rate' Xlabel 'SNR' ylabel 'BER' Observations: Bit transmitted =49992 Noise,N E No. Error bit SNR=10log10(E2/N2) BER 1.4 1.4 13419 0 0.27 1.2 1.4 10701 1.34 0.21 0.99 1.4 7399 3.00 0.15 0.81 1.4 4175 4.75 0.084 0.7 1.4 2425 6.02 0.049 0.6 1.4 1105 7.36 0.022
  4. 4. 0.55 1.4 664 8.12 0.0133 0.5 1.4 277 8.94 0.0045 0.44 1.4 120 10.05 0.0024 0.39 1.4 37 11.01 0.00074 0.34 1.4 4 12.3 0.00008 GRAPH: Conclusion : The Plot is similar to theoretical plot for SNR greater and equal to zero. We concluded that Bit Error Rate reduces on decreasing the noise .

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