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This is a fourth semester course to be offered to students of Department of Mechatronics Engineering, Chandigarh University in EVEN2022 term.
– Course aim to enhance the basic skills related to signal and systems
- Understanding the fundamental characteristics of signals and systems.
- Understanding signals and systems in terms of both the time and transform domains, taking advantage of the complementary insights and tools that these different perspectives provide.
- Development of the mathematical skills to solve problems involving convolution, filtering, modulation and sampling.
- CO1 The student will be able to Interpret the signals in various forms for analysis
- CO2 The student will be able to Obtain Fourier analysis of continuous time and discrete time signals
- CO3 The student will be able to analyse LTI system response
- CO4 The student will be able to synthesis LTI system response
- CO5 The student will be able to Construct the Continuous and Discrete Time systems using various transfroms.
Numbers Sinosoids & Phasors Limits and continuity Differentiation and Integration L-Hospital's relation I/O relation of RLC-circuit Unit-step and delta functions
IContinuous & Discrete Time Signals Even and Odd Signals Orthogonality Shifting and scaling in Continuous time Shifting and scaling in Discrete time Signal and Noise Signal in the physical world Signal & Sensing perception
Unit-2 Fourier Transform of Continuous-Time Signals, Fourier Series of Continuous-Time Periodic Signals and Properties
Frequency domain Representation Fourier Transform Fourier transform : Exammple -I Drichlet conditions Inverse Fourier transformFourier transform : Exammple-II FT Uncertainity Relation
FT: Time shifting & time scaling FT-Derrivative property FT: Multiplication & Convolution property FT: Integral property Fourier transform : Exammple-III Fourier transform : Exammple-IV Fourier transform of Noise
Fourier transform of periodic signals Fourier Series representation in continuous time Fourier series properties - I Fourier series properties - II LTI system response for periodic input signal Fourier Series in in continuous time: Example-I Fourier Series in in continuous time: Example-II
Discrete Time Convulution sum Discrete Time Examples & propertie LCCDE representation of discrete time LTI systems Impulse train sampling Re-construction of continuous time signal Nyquist sampling theorem & Aliasing
Unit-3 Laplace Transform, Laplace Transform Properties, LTI Systems, Convolution and LTI System Properties
FT in Complex frequency domain Laplace transforms(LT): Poles & Zeros LT: Region of convergence LT: Example I LT: Example II Laplace analysis of LTI systems Laplace Analysis of RLC circuits
Laplace transforms(LT): Linearity, shifting & Scaling Laplace transforms(LT): Derrivative & Integral Laplace transforms(LT): Causality & Stability Laplace Analysis of an LTI system Laplace analysis of LTI systems: Example-I Laplace analysis of LTI systems: Example-II Laplace Analysis of First Order RLC circuits Laplace Analysis of Second Order RLC circuits
Introduction, representation of a continuous time signal by its samples: the sampling theorem, reconstruction of a signal from its samples using interpolation, the effect of under sampling: Aliasing, discrete time processing of continuous time signals, sampling of discrete time signals.
Continuous Time: Convolutional Integral Continuous Time: Convolutional Integral Example-I Continuous Time: Convolutional Integral Example-II Continuous Time: Convolutional Integral Example-III LTI Systems: commutative, distributive & Associative LTI Systems: Memoryless & Invertibility LTI Systems: Causality & Stability
*A mini-project/case-study/research article implementation solving complex problem*
- Oppenheim and Willsky, Signals and Systems, Prentice Hall, 1997, 4th reprint.
- B.P. Lathi, Principles of Linear Systems and Signals, Oxford University Press. 2nded.
- P.D. Sharma, Introduction to modern communication theory,. New Chand and Brothers Roorkee
- Simon Haykin , Signal and Systems, Wiley student edition, 1997, 7th reprint. \
- S Salivahanan, A. Vallavaraj, C. Gnanapriya , Digital Signal Processing, McGraw Hill International, 2001 ed.
| SrNo | Assessment Name | Exam Name | Max Marks |
|---|---|---|---|
| 1 | 20EU01 | Assignment | 10 |
| 2 | 20EU01 | Attendance and Engagement Score on BB | 2 |
| 3 | 20EU01 | Mid-Semester Test-1 | 40 |
| 4 | 20EU01 | Quiz | 4 |
| 5 | 20EU01 | Surprise Test | 12 |
| 6 | 20EU01 | Mid-Semester Test-2 | 40 |
| -------- | ----------------------- | ----------------------- | ------------ |
Mapping CO's Vs PO's/PSO's need to be provided wherever it is appropriate. The correlation levels can be given based on below given parameters with respect to the Program attributes. the parameters are as follows:
- Course content
- Content delivery
- Pedagogy tools
- Assessment tools used to measure the student's performance
- Correlation levels
Slight (Map it with 1 correlation when the above-mentioned parameters are slightly influencing in students learning). Moderate (Map it with 2 correlation when the above-mentioned parameters are moderately influencing in students learning). Substantial (Map it with 3 correlation when the above-mentioned parameters are strongly influencing in students learning).
If there is no correlation, put "NA"
