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Theoretical vs. simulated BER vs. SNR for ASK, FSK, and PSK


 

BER vs. SNR denotes how many bits in error are received in a communication process for a particular Signal-to-noise (SNR) ratio. In most cases, SNR is measured in decibel (dB). For a typical communication system, a signal is often affected by two types of noises

1. Additive White Gaussian Noise (AWGN)

2. Rayleigh Fading

In the case of additive white Gaussian noise (AWGN), random magnitude is added to the transmitted signal. On the other hand, Rayleigh fading (due to multipath) attenuates the different frequency components of a signal differently. A good signal-to-noise ratio tries to mitigate the effect of noise. 


Simulator for calculating BER vs SNR for binary ASK, FSK, and PSK

Calculate BER for Binary ASK Modulation

The theoretical BER for binary ASK (BASK) in an AWGN channel is given by:
BER  = (1/2) * erfc(0.5 * sqrt(SNR_ask));
 

BER vs. SNR curves for ASK, FSK, and PSK

Calculate BER for Binary FSK Modulation

The theoretical BER for binary FSK (BFSK) in an AWGN channel is given by:
BER =  (1/2) * erfc(sqrt(SNR_bfsk / 2));
 

Calculate BER for Binary PSK Modulation

The theoretical BER for binary PSK (BPSK) in an AWGN channel is given by:
 BER = 0.5 * erfc(sqrt(SNR_bpsk))
 





MATLAB Code for calculating theoretical BER vs SNR for ASK, FSK, and PSK

 

 

 Output


MATLAB Code for calculating simulated BER vs SNR for ASK, FSK, and PSK


Output



Further Reading

  1.  Theoretical BER vs SNR for binary ASK and FSK
  2.  Theoretical BER vs SNR for BPSK
  3. BER vs SNR for m-ary PSK
  4. BER vs SNR for m-ary QAM

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Admin & Author: Salim

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  Website: www.salimwireless.com
  Interests: Signal Processing, Telecommunication, 5G Technology, Present & Future Wireless Technologies, Digital Signal Processing, Computer Networks, Millimeter Wave Band Channel, Web Development
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