Modeling of Digital Communication Systems Using SIMULINK

Chapter 10Digital Communications BER Performance in AWGN (Block Coding and Fading)

10.1 Digital Communications with Block Coding in Fading

This chapter presents topics in Simulink based on block error control coding in a fading channel. Specific topics include the following:

• BER performance of BCH(31,16) BPSK in Rayleigh Fading with interleaving
• BER performance of Golay(24,12) BFSK in Rayleigh Fading with interleaving
• BER performance of Reed-Solomon(31,15) 32-FSK in Rayleigh Fading with interleaving
• BER performance of Reed-Solomon(15,7) 16-QAM in Rayleigh Fading with interleaving
• BER performance of Reed-Solomon(15,7) 16-QAM in Rician and Rayleigh Fading with interleaving
• BER performance in Rayleigh Fading with interleaving, block error control codes, and Alamouti STBC for
  • BCH(31,16) BPSK
  • Golay(24,12) BFSK
  • Reed-Solomon(31,15) 32-FSK
  • Reed-Solomon(15,7) 16-QAM

10.2 BER Performance of BPSK in Rayleigh Fading with Interleaving and a BCH Block Code

A Simulink model for estimating the BER for BPSK with a BCH(31,16) block code is shown in Figure 10.1a. The Rayleigh fading channel model is displayed in Figure 10.1b where a Jakes Doppler spectrum is selected. Figure 10.1c displays both the theoretical and simulated Doppler spectrum where the maximum Doppler shift is seen to be 0.1 Hz. The signal energy to noise power spectral density, E_s/N_o, is related to the bit energy to noise power spectral density, , in terms of the code rate R_c = 16/31 according to E_s/N_o = R_cEb/N_o. Note that ...