Course
Signals and Systems
At the end of this course, the student should be able to: 1. Understand and apply the concepts about linear time-invariant (LTI) systems understand and apply Fourier Series representation of periodic continuous-time signals understand and apply Fourier Transform representation of periodic and aperiodic continuous-time signals. 4. Apply Laplace transforms to analyze LTI Systems
What you'll learn
At the end of this course, the student should be able to:
1. Understand and apply the concepts about linear time-invariant (LTI) systems
Understand and apply Fourier Series representation of periodic continuous-time signals
Understand and apply Fourier Transform representation of periodic and aperiodic continuous-time signals. 4. Apply Laplace transforms to analyze LTI Systems
Course structure & Assessments
For details, visit Academics.
| WEEK 1 | Introduction to signals --- continuous-time, discrete-time, Analog, Digital, Signal representation and analysis, Manipulation of signals (Time shifting and scaling) |
| WEEK 2 | Adding and subtracting signals, complex-valued signals, phasors |
| WEEK 3 | Even and Odd symmetry, Orthogonal signals, even-odd signals, conjugate symmetry, periodicity, manipulation of periodic signals, Energy and Power of signals |
| WEEK 4 | Dirac delta signal, energy signal, power signal, time scaling of energy and power signals |
| WEEK 5 | Introduction to systems and their properties --- causal, memory, Invertibility, stability, Time invariance, Linear, LTI systems, Convolution |
| WEEK 6 | Properties of convolution, convolution with Dirac Delta, LTI system properties, Unit step response of LTI systems |
| WEEK 7 | Fourier Analysis, Fourier series and properties |
| WEEK 8 | Parseval's theorem for Fourier series, Dirchilet's conditions for Fourier series |
| WEEK 9 | Fourier Transform, The Uncertainty principle, properties of Fourier Transform, Symmetry in Fourier Transform, Duality of Fourier Transform |
| WEEK 10 | Fourier transform in LTI systems, Idea Low pass filter, Fourier transform of step signal and periodic signals, Fourier Transform for circuit analysis |
| WEEK 11 | Laplace Transform, Region of Convergence, Pole-Zero plots, Bode Plot |
| WEEK 12 | Properties of Laplace Transform, Initial and Final Value Theorem, Laplace Transform in Circuit Analysis |