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IE 211 |
APPLICATIONS OF MATHEMATICS IN SIGNALS AND SYSTEMS |
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Teaching Scheme |
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Examination Scheme |
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Lectures : 3 hrs/week |
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Mid-Sem – 30, Assignments, Quiz -20 |
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End-Sem Exam- 50. |
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Unit 1 |
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(06) |
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Statistical Analysis of signalsMean, Medium, and mode, standard deviation, variance, moments, coefficient of skew ness & kurtosis, correlation & line of regression
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Unit 2 |
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(06) |
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ProbabilityTheorems on Probability, Conditional Probability, Baye’s theorem, Probability density functions (binomial, Poisson, normal) distribution function, standard deviation, chi-square test, probable error and combination of system component errors, overall system accuracy calculations, overall error from root mean square formula
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Unit 3 |
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(06) |
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Introduction to Signals and Systems: Introduction to Signals, Classification of Signals, Continuous Time and Discrete Time Signals, Step and Impulse Functions, Transformation of Independent Variable. Introduction to Systems, Classification of Systems, Properties of Systems, Normal Form of System Equation, Initial Conditions, Impulse Response of a Physical System, Introduction to Convolution, System Impulse Response.
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Unit 4 |
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(06) |
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Analysis of SystemsSystem characteristics, Convolution Sum, Sampling theorem, reconstruction, aliasing, sampling in the frequency domain, sampling of discrete time signals, decimation and interpolation. Properties and applications of Z transform
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Unit 5 |
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(08) |
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Fourier Transform AnalysisFourier analysis for Continuous time signals and systems, Continuous time Fourier series and its convergence, Continuous time Fourier Transform, its properties, frequency response.
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Unit 6 |
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(08) |
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Discrete Fourier Transform Discrete time Fourier series and its convergence, Discrete time Fourier Transform, its properties, frequency response. Introduction to DFT in time domain and frequency domain. Filtering: Ideal frequency selective filters, Non Ideal frequency selective filters, examples, Butterworth filters.
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Text Books · Signals and Systems By Michael J. Robert, TMH, New Delhi, Edition 2003 · Probability and Statistics, Spiegel, Schiller and Srinivasn, Second Edition, Scaum’s Outline TMH
Reference books · Signals and systems, Oppenheium, Willsky Pearson (low price) second edition
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