BER For The BPSK Modulation-Wireless Communication Systems-Assignment, Exercises of Wireless Communication Systems

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• Assignment #Wireless Communication Systems
  • December 1 4 ,

Exercise 1: Plot the theoretical BER for the BPSK modulation scheme using equation (1).

Plot Result:^ PBPSK^ (e) =

100 Probability of Error Rate for BPSK X: 10.5Y: 1.084e-

Signal to Noise Ratio E/No in dBs

Probability of Error

As the plot shows, the target BER for data and voice communication of ~ 10E/No value of 10.5 dB. -6^ is achieved at

X: 18.94Y: 1.039e-

Probability of Symbol Error Rate for 16-PSK

Signal to Noise Ratio E/No in dBs

Probability of Error

1010 -45-40 0 2 4 6 8 10 12 14 16 18 20

1010 -35-

1010 -25-

1010 -15-

Comparison Plot for Probability of Error Rate for, BPSK, QPSK, 8-PSK, and 16-PSK Modulation Schemes 1010 -5 0

Signal to Noise Ratio E/No in dBs

Probability of Error BPSK QPSK8-PSK16-PSK

0.60.8^1

Quadrature In-Phase

Scatter plot

0.60.8^1

Quadrature In-Phase

Scatter plot

100 Probability of Bit Error Rate for BPSK X: 10.76Y: 1.055e-

Signal to Noise Ratio E/No in dBs

Probability of Error

Phase-shift keying (PSK) modulating, the Any digital modulation scheme uses aPSK uses a finite number of phases, each assigned a unique pattern of phase of a reference is a digital signal modulationfinite (the number of distinct signals to represent digital data. carrier wave scheme that conveys). binary data by changing, or bits. Usually, each

phase encodes an equal number of bits. Each pattern of bits forms theby the particular phase. Theby the modulator, determines the phase of the received signal and maps it back to the symbol itrepresents, thus recovering the original data. This requires the receiver to be able to compare thephase of the received signal to a reference signal demodulator, which is designed specifically for the symbol-set used — such a system is termed coherent (and symbol that is represented

referred to as CPSK).