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Probability and Random variables(1) | 1. Distribution of Random Variables 2. Properties of independent RVs 3. Mean and Variance 4. Scaling, constant addition, and sum of RVs | ![]() |
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Probability and Random variables(2) | 5. Weighted sum of RVs 6. Widely used RVs 7. Integration of Gaussian PDF and the Q-function 8. Gaussian RV | ![]() |
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Random Signals(1) | 1. Random process 2. Mean of the random process 3. Autocorrelation and wide sense stationary(WSS) process 4. Property of autocorrelation for WSS process 5. Power spectral density (PSD) for WSS process | ![]() |
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Random Signals(2) | 1. Power spectral density (PSD) for WSS process 2. Gaussian random process 3. White process 4. Additive white Gaussian noise (AWGN) | ![]() |
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Maximum Likelihood Detection for Binary Transmission | 1. Received signal 2. Decision variable 3. Maximum likelihood detection | ![]() |
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Maximum Likelihood Detection for Binary Transmission (part 2) | 4. Probability of ML detection error 5. Non equally-probable binary case 6. Non-Gaussian noise case | ![]() |
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SIGNAL VECTOR SPACE AND MAXIMUM LIKELIHOOD | 1. Orthogonal signal set 2. Signal generation using orthonormal set 3. Signal vector space 4. Waveform to signal vector space | ![]() |
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SIGNAL VECTOR SPACE AND MAXIMUM LIKELIHOOD | 1. Equivalence between waveform and vector spaces 2. Noise signal in the vector space 3. Received signal in the vector space 4. ML detection in vector space | ![]() |
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CORRELATOR-BASED MAXIMUM LIKELIHOOD DETECTION(part 1) | 1. Equivalence between waveform and vector spaces 2. AWGN in signal vector space | ![]() |
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CORRELATOR-BASED MAXIMUM LIKELIHOOD DETECTION(part 2) | 1. Equivalence between waveform and vector spaces 2. AWGN in signal vector space 3. ML detection in waveform space 4. Correlator-based ML detection | ![]() |
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CORRELATOR-BASED MAXIMUM LIKELIHOOD DETECTION (part 3) | 1. Correlator-based ML detection 2. ML detection of binary signals | ![]() |
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PULSE SHAPING AND MATCHED FILTER (part 1) | 1. Matched filter | ![]() |
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PULSE SHAPING AND MATCHED FILTER (part 2) | 2. Pulse shaping process 3. Received signal and ISI 4. Pulse shape design 5. Raised cosine pulse | ![]() |
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PULSE SHAPING AND MATCHED FILTER (part 3) | 4. Pulse shape design 5. Raised cosine pulse 6. Square root raised cosine pulse 7. Eye diagram | ![]() |
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BER Simulation at the Waveform Level (part 1) | 1. Overview on BPSK 2. Why waveform-level simulation? 3. Waveform-level BER simulation steps | ![]() |
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BER Simulation at the Waveform Level (part 2) | 4. Sampled waveforms 5. Sample interval and noise variance 6. Steps 6~7 in BER simulation code | ![]() |
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QPSK and Offset-QPSK (part 1) | 1. QPSK signals 2. QPSK transmitter 3. QPSK receiver | ![]() |
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QPSK and Offset-QPSK (part 2) | 4. Pulse shaped QP SK | ![]() |
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M-ary modulations: MPSK, QAM and MFSK (part 1-1) | 1. MPSK signals 2. Symbol error of MPSK | ![]() |
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M-ary modulations: MPSK, QAM and MFSK (part 1-2) | 2. Symbol error of MPSK 3. BER of MPSK 4. Bandwidth of MPSK | ![]() |
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M-ary modulations: MPSK, QAM and MFSK (part 1-3) | 5. MPSK demodulator 6. QAM signal 7. QAM demodulator | ![]() |
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M-ary modulations: MPSK, QAM and MFSK (part 2-1) | 1. PDF of z1 and z2 2. BER of QAM 3. Bandwidth of QAM | ![]() |
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M-ary modulations: MPSK, QAM and MFSK (part 2-2) | 3. Bandwidth of QAM 4. MFSK signal 5. MFSK demodulator 6. Error performance and BW of MFSK 7. Comparisons among MPSK, QAM and MFSK | ![]() |
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Fading, Diversity and Combining (part 1) | 1. QPSK signals 2. Fading 3. Rayleigh fading 4. Instantaneous symbol energy | ![]() |
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Fading, Diversity and Combining (part 2-1) | 5. Average BER under Rayleigh fading 6. Diversity | ![]() |
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Fading, Diversity and Combining (part 2-2) | 6. Diversity 7. Combining 8. Selection diversity combining 9. Equal gain combining 10. Maximum ratio combining 11. BER comparison among the combining schemes | ![]() |