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Probability Theory and Random Variables Information, Probability, Conditional probability of independent events, Relation between probability and probability density, Rayleigh probability density, CDF, PDF, Random variables, Variance of a random variable, Correlation between random variables, Statistical averages (Means), Mean and variance of sum of random variables, Linear mean square estimation, Central limit theorem, Error function and complementary error function, Discrete and continuous variable, Gaussian PDF, Threshold detection, Statistical average, Chebyshev in equality, Autocorrelation. Information Theory Concept and measure of information, Source coding, Error free communication over a noisy channel, Shannon theorem, The channel capacity of a discrete memory less channel, Optimum system, The channel capacity of a continuous channel, Practical communication system in light of Shannon's equation. Formatting a Base Band Modulation Base band system, The sampling theorem, Sampling and interpolation functions, Spectra, Nyquist theorem, Under sampling, Applications, Aliasing, PCM, DPCM, ADPCM, Uniform and non uniform quantization, Quantization error in PCM, Delta modulation, Adaptive delta modulations, SNR calculation, Non uniform quantization, Phase modulation. Digital Communication System Digital multiplexing, Line coding, PSD of on/off signaling, Bipolar signaling, Duo binary signal, Pulse shaping, Nyquist first and second criterion for zero ISI, Regenerative repeaters, Detection error probability, M ary system, Scrambling, Digital carrier system. Error Correcting Codes Linear block code, Cyclic code, Convolution code, Burst error correcting and detecting code, Interlaced code for burst and random error generation, Comparison of coded and un-coded system. Digital Modulation Techniques QAM, BPSK, QPSK, DEPSK, DPSK, MSK, M-ary-PSK, BFSK of various digital modulation techniques. Digital Communication Systems in the Presence of Noise Noise figure, Signal to noise ratio, Performance of communication system with channel noise, Optimum binary receiver. Digital Carrier Demodulation Techniques Coherent and non-coherent detection of ASK, FSK, PSK, QPSK, DPSK Spread Spectrum Communications Introduction to frequency hopping, Introduction to direct sequence spread spectrum, introduction to CDMA, Overview of latest trends in digital communication
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