Signals and Stochastic Process Detailed Syllabus for B.Tech second year first sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.<\/p>\n
The detailed syllabus for Signals and Stochastic Process B.Tech 2016-2017 (R16) second year first sem is as follows.<\/p>\n
B.Tech. II Year I Sem. L\/T\/P\/C
\nCourse Code:\u00a0EC304ES\u00a03\/1\/0\/3<\/p>\n
Course Objectives:<\/strong><\/p>\n Course Outcomes<\/strong>: Upon completing his course, the student will be able to<\/p>\n UNIT – I\u00a0Signal Analysis:<\/strong> Analogy between Vectors and Signals, Orthogonal Signal Space, Signal\u00a0approximation using Orthogonal functions, Mean Square Error, Closed or complete set of\u00a0Orthogonal functions, Orthogonality in Complex functions, Exponential and Sinusoidal\u00a0signals, Concepts of Impulse function, Unit Step function, Signum function.\u00a0Signal Transmission through Linear Systems: Linear System, Impulse response, Response\u00a0of a Linear System, Linear Time Invariant (LTI) System, Linear Time Variant (LTV) System,\u00a0Transfer function of a LTI system, Filter characteristics of Linear Systems, Distortion less\u00a0transmission through a system, Signal bandwidth, System bandwidth, Ideal LPF, HPF and\u00a0BPF characteristics, Causality and Paley-Wiener criterion for physical realization, UNIT \u2013 II\u00a0Fourier series, Transforms, and Sampling:<\/strong> Fourier series: Representation of Fourier UNIT \u2013 III\u00a0Laplace Transforms and Z\u2013Transforms: Laplace Transforms:<\/strong> Review of Laplace\n
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\nRelationship between Bandwidth and Rise time. Concept of convolution in Time domain and\u00a0Frequency domain, Graphical representation of Convolution, Convolution property of Fourier\u00a0Transforms<\/p>\n
\nseries, Continuous time periodic signals, Properties of Fourier Series, Dirichlet\u2019s conditions,Trigonometric Fourier Series and Exponential Fourier Series, Complex Fourier spectrum.\u00a0Fourier Transforms: Deriving Fourier Transform from Fourier series, Fourier Transform of\u00a0arbitrary signal, Fourier Transform of standard signals, Fourier Transform of Periodic\u00a0Signals, Properties of Fourier Transform, Fourier Transforms involving Impulse function and\u00a0Signum function.\u00a0Sampling: Sampling theorem \u2013 Graphical and analytical proof for Band Limited Signals,\u00a0Reconstruction of signal from its samples, Effect of under sampling \u2013 Aliasing.<\/p>\n
\nTransforms (L.T), Partial fraction expansion, Inverse Laplace Transform, Concept of Region\u00a0of Convergence (ROC) for Laplace Transforms, Constraints on ROC for various classes of\u00a0signals, Properties of L.T, Relation between L.T and F.T of a signal, Laplace Transform of\u00a0certain signals using waveform synthesis.\u00a0Z\u2013Transforms: Fundamental difference between Continuous and Discrete time signals,\u00a0Discrete time signal representation using Complex exponential and Sinusoidal components,
\nPeriodicity of Discrete time signal using complex exponential signal, Concept of ZTransform\u00a0of a Discrete Sequence, Distinction between Laplace, Fourier and Z Transforms,\u00a0Region of Convergence in Z-Transform, Constraints on ROC for various classes of signals,\u00a0Inverse Z-transform, Properties of Z-transforms.<\/p>\n