Week 1: Spectral Analysis
Time and Bandwidth, Hilbert transforms, Low Pass Equivalents
Week 2: Random Processes
Complex Random Variables, Random Vectors, Random Processes and their properties
Week 3: Random Processes
Random Processes as Signals, Power Spectra, Low pass and band pass random processes.
Week 4: Noise and Modulation
Noise, Types of Noise, The need for modulation, AM, Generation and Demodulation of conventional AM
Week 5: Amplitude Modulation
DSBB-SC AM, SSB and QAM, The Phase Locked Loop, Angle Modulation
Week 6: Angle Modulation
Spectral Analysis of FM, Generation and Demodulation of FM
Week 7: Effect of Noise on Analog Modulation
Noise in CW Systems, Effect of Noise on AM, Effect of noise on FM, Noise Figure, Link Budget
Week 8: Analog to Digital Conversion
Sampling, Natural and Flat top sampling, Bandpass Sampling, Sampling of Random Processes, The quantization problem
Week 9: Quantization
Optimal Quantization, Uniform Quantization, Companding, PCM, Correlation
Week 10: PCM
The Wiener Hopf equations, DPCM, Delta Modulation, Encoding of digital Pulses
Week 11: ReceptionThe matched filter, detection of binary signals in noise, the probability of error
Week 12: Signal SpacesVector Spaces, Signals as Vectors, Gram Schmidt Orthogonalization, Constellations
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