Syllabus
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Course Code: OE Elective-IV OE-CS-416 Course Name: Signal & Systems |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Introduction to Signals: Continuous and discrete time signals, deterministic and stochastic
signals, periodic and a periodic signal, even and odd signals, energy and power signals,
exponential and sinusoidal signals and singular functions. Introduction to Systems: Linear and non-linear systems, time invariant and time varying systems, lumped and distributed systems, deterministic and stochastic systems, casual and non-causal systems, analog and discrete/digital memory and memory less systems |
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| 2 | Random Variables: Introduction to Random Variables, pdf, cdf, moments, distributions,
correlation functions. Linear Time Invariant Systems: Introduction to linear time invariant (LTI) systems, properties of LTI systems, convolution integral, convolution sum, causal LTI systems described by differential and difference equations, Concept of impulse response. |
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| 3 | Discretisation of Analog Signals: Introduction to sampling, sampling theorem and its proof,
effect of undersampling, reconstruction of a signal from sampled signal. Fourier Series: Continuous time fourier series (CTFS), Properties of CTFS, Convergence of fourier series, Discrete time Fourier Series (DTFS), Properties of DTFS, Fourier series and LTI system. |
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| 4 | Fourier Transform: Continuous Time Fourier Transform (CTFT), Properties of CTFT,
Systems characterized by linear constant- coefficient differential equations, Discrete time
fourier transform (DTFT), Properties of DTFT. Laplace Transform: Introduction to Laplace transform, Region of convergence for laplace transform, Inverse laplace transform, Properties of laplace transform, Analysis and characterization of LTI systems using laplace transform, |
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