1. |
|
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 |
|
|
|
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 |
|
2. |
|
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 |
|
|
|
Random Signals(2) |
1. Power spectral density (PSD) for WSS process
2. Gaussian random process
3. White process
4. Additive white Gaussian noise (AWGN) |
|
3. |
|
Maximum Likelihood Detection for Binary Transmission |
1. Received signal
2. Decision variable
3. Maximum likelihood detection |
|
|
|
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 |
|
4. |
|
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 |
|
|
|
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 |
|
5. |
|
CORRELATOR-BASED MAXIMUM LIKELIHOOD DETECTION(part 1) |
1. Equivalence between waveform and vector spaces
2. AWGN in signal vector space |
|
|
|
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 |
|
6. |
|
CORRELATOR-BASED MAXIMUM LIKELIHOOD DETECTION (part 3) |
1. Correlator-based ML detection
2. ML detection of binary signals |
|
|
|
PULSE SHAPING AND MATCHED FILTER (part 1) |
1. Matched filter |
|
7. |
|
PULSE SHAPING AND MATCHED FILTER (part 2) |
2. Pulse shaping process
3. Received signal and ISI
4. Pulse shape design
5. Raised cosine pulse |
|
|
|
PULSE SHAPING AND MATCHED FILTER (part 3) |
4. Pulse shape design
5. Raised cosine pulse
6. Square root raised cosine pulse
7. Eye diagram |
|
8. |
|
BER Simulation at the Waveform Level (part 1) |
1. Overview on BPSK
2. Why waveform-level simulation?
3. Waveform-level BER simulation steps |
|
|
|
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 |
|
9. |
|
QPSK and Offset-QPSK (part 1) |
1. QPSK signals
2. QPSK transmitter
3. QPSK receiver |
|
|
|
QPSK and Offset-QPSK (part 2) |
4. Pulse shaped QP SK |
|
10. |
|
M-ary modulations: MPSK, QAM and MFSK (part 1-1) |
1. MPSK signals
2. Symbol error of MPSK |
|
|
|
M-ary modulations: MPSK, QAM and MFSK (part 1-2) |
2. Symbol error of MPSK
3. BER of MPSK
4. Bandwidth of MPSK |
|
11. |
|
M-ary modulations: MPSK, QAM and MFSK (part 1-3) |
5. MPSK demodulator
6. QAM signal
7. QAM demodulator |
|
|
|
M-ary modulations: MPSK, QAM and MFSK (part 2-1) |
1. PDF of z1 and z2
2. BER of QAM
3. Bandwidth of QAM |
|
12. |
|
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 |
|
|
|
Fading, Diversity and Combining (part 1) |
1. QPSK signals
2. Fading
3. Rayleigh fading
4. Instantaneous symbol energy |
|
13. |
|
Fading, Diversity and Combining (part 2-1) |
5. Average BER under Rayleigh fading
6. Diversity |
|
|
|
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 |
|