Analog and digital communications I (Hinglish)

ABOUT THE COURSE:This course will cover the basic set of tools required to understand the modelling and analysis of communications systems in Hinglish i.e. colloquial Hindi written in Roman text. We will start the course by a quick revision of the ideas of Fourier analysis and Hilbert transforms, followed by a detailed discussion of analog modulation techniques including AM, and angle modulation. We will then revisit ideas from probability theory and develop the idea of random processes as signals to introduce the concept of AWGN, that will be used to study the effect of noise on analog modulation. In the second half of the course, viz. digital communications, we will discuss the ideas of sampling and quantization and follow them up with a brief discussion on baseband pulse transmission. We will conclude the course by introducing ideas related to information theory. This course is suitable for all students and professionals as well as students preparing for competitive examinations.INTENDED AUDIENCE: Third and Fourth year UG studentsINDUSTRY SUPPORT: Qualcomm, Samsung, Analog Devices, NVidia

Syllabus

Week 1:Spectral AnalysisTime and Bandwidth, Hilbert transforms, Low Pass EquivalentsWeek 2:Random ProcessesComplex Random Variables, Random Vectors, Random Processes and their propertiesWeek 3:Random ProcessesRandom Processes as Signals, Power Spectra, Low pass and band pass random processes.Week 4:Noise and ModulationNoise, Types of Noise, The need for modulation, AM, Generation and Demodulation of conventional AMWeek 5:Amplitude ModulationDSBB-SC AM, SSB and QAM, The Phase Locked Loop, Angle ModulationWeek 6:Angle ModulationSpectral Analysis of FM, Generation and Demodulation of FMWeek 7:Effect of Noise on AnalogModulationNoise in CW Systems, Effect of Noise on AM, Effect of noise on FM, Noise Figure, Link BudgetWeek 8:Analog to DigitalConversionSampling, Natural and Flat top sampling, Bandpass Sampling, Sampling of Random Processes, The quantization problemWeek 9:QuantizationOptimal Quantization, Uniform Quantization, Companding, PCM, CorrelationWeek 10:PCMThe Wiener Hopf equations, DPCM, Delta Modulation, Encoding of digital PulsesWeek 11:Reception
The matched filter, detection of binarysignals in noise, the probability of errorWeek 12:Signal Spaces
Vector Spaces, Signals as Vectors, Gram Schmidt Orthogonalization, Constellations