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Implementation 16 QAM Base Band Communication System. What is QAM. In QAM two DSB signals are transmitted using the carrier of the same frequency but in Phase Quadrature to each other. Quadrature Modulator. Mathematically φ QAM(t) = m(t) cosωt + m(t) sinωt. Demodulator.
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What is QAM • In QAM two DSB signals are transmitted using the carrier of the same frequency but in Phase Quadrature to each other. Quadrature Modulator
Mathematically φ QAM(t)= m(t) cosωt + m(t) sinωt
Demodulator • At the demodulator side the signal is coherently detected using to local carriers in phase Quadrature as shown below
Mathematically • x(t)=2φ cosω(t) =2[m(t) cosωt + m(t) sinωt] cosωt = m(t)+ m(t) cos2ωt + m(t) sin2ωt
Matlab Implementation Part 2
Problem Solution • Random signal generation • Formation of symbols • 16-QAM modulation • AWGN channel
Problem Solution contd… • Demodulation • Computation of Prob. of Bit Error • Extraction of bits from the noisy symbols. • Computation of Prob. of Symbol Error
Outputs (Command Prompt) • Total number of bits transmitted = 100000 • Total_number_of_erroneous_bits_received = 3 • Probability_of_bit_error = 3.0000e-005 • Total_number_of_erroneous_symbols_received = 3 • Probability_of_symbol_error = 1.2000e-004
Applications • To multiplex the chrominance signals in color television • POTS
Limitations • Source coding can be applied. • Channel Coding • Random Voice Signal as Input
Conclusions • Transmission Symbol Rate • Channel utility.
Acknowledgements • First of all we are thankful to all Mighty Allah. • We really acknowledge Dr. Riaz Inayat for the knowledge that he conveyed to us. • In the last but never the least, we are grateful to Mr. Raheel Satti and Usama Bajwa for the support and help they gave us when ever we required.