| Name of the Faculty : MS. PRIYANKA GAUR | ||
| Discipline : CSE | ||
| Semester : 5TH | ||
| Subject : SIGNALS & SYSTEMS(PCC-CS-501) | ||
| Lesson Plan Duration : JULY-DEC’19 | ||
| Week | Theory | |
| Lecture Day | Topic | |
| 1st | 1 | INTRODUCTION TO SIGNALS AND SYSTEMS |
| 2 | Signals and systems as seen in everyday life, and in various branches of engineering and science | |
| 3 | Signal properties: periodicity, absolute integrability, determinism and stochastic character | |
| 4 | Some special signals of importance: the unit step, the unit impulse, the sinusoid, the complex exponential, some special time-limited signals; continuous and discrete time signals, continuous and discrete amplitude signals. | |
| 2nd | 5 | System properties: linearity: additivity and homogeneity, shiftinvariance, causality, stability, realizability. Examples. |
| 6 | Impulse response and step response | |
| 7 | convolution, input-output behavior with aperiodic convergent inputs | |
| 8 | cascade interconnections | |
| 3rd | 9 | Characterization of causality and stability of LTI systems |
| 10 | System representation through differential equations and difference equations | |
| 11 | Statespace Representation of systems. State Space Analysis, Multi-input, multi-output representation. State Transition Matrix and its Role | |
| 12 | Periodic inputs to an LTI system, the notion of a frequency response and its relation to the impulse response | |
| 4th | 13 | Fourier series representation of periodic signals, Waveform Symmetries |
| 14 | Calculation of Fourier Coefficients | |
| 15 | Fourier Transform, convolution/multiplication and their effect in the frequency domain, magnitude and phase response | |
| 16 | Fourier domain duality. The DiscreteTime Fourier Transform (DTFT) | |
| 5th | 17 | the Discrete Fourier Transform (DFT) |
| 18 | Parseval’s Theorem | |
| 19 | Review of the Laplace Transform for continuous time signals and systems, system functions | |
| 20 | poles and zeros of system functions and signals, Laplace domain analysis | |
| 6th | 21 | solution to differential equations and system behavior |
| 22 | The z-Transform for discrete time signals and systems, system functions | |
| 23 | poles and zeros of systems and sequences, z-domain analysis | |
| 24 | The Sampling Theorem and its implications. Spectra of sampled signals | |
| 7th | 25 | Reconstruction: ideal interpolator, zero-order hold, first-order hold |
| 26 | Aliasing and its effects | |
| 27 | Relation between continuous and discrete time systems | |
| 28 | Introduction to the applications of signal and system theory: modulation for communication | |
| 8th | 29 | filtering |
| 30 | feedback control systems | |