University of Mumbai Syllabus For Semester 4 (SE Second Year) Signals and Systems: Knowing the Syllabus is very important for the students of Semester 4 (SE Second Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 4 (SE Second Year) Signals and Systems syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Semester 4 (SE Second Year) Signals and Systems Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the University of Mumbai Semester 4 (SE Second Year) Signals and Systems Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Semester 4 (SE Second Year) Signals and Systems in addition to this.

## University of Mumbai Semester 4 (SE Second Year) Signals and Systems Revised Syllabus

University of Mumbai Semester 4 (SE Second Year) Signals and Systems and their Unit wise marks distribution

### University of Mumbai Semester 4 (SE Second Year) Signals and Systems Course Structure 2022-2023 With Marking Scheme

# | Unit/Topic | Weightage |
---|---|---|

C | Introduction to Signals and Systems | |

CC | System Analysis | |

CCC | Fourier Analysis of Continuous Time Signals | |

CD | Module 4 | |

401 | Fourier Series of Discrete Time Signal | |

D | Module 5 | |

501 | Laplace Transform | |

DC | Module 6 | |

601 | Z-transformation | |

Total | - |

## Syllabus

### University of Mumbai Semester 4 (SE Second Year) Signals and Systems Syllabus for Introduction to Signals and Systems

- Definition of signals and systems
- Communication and control systems as examples
- Classification of signals: Continuous time and discrete time, even, odd, periodic and non periodic, deterministic and non deterministic, energy and power.
- Operations on signals: Amplitude scaling, addition, multiplication, differentiation, integration (accumulator for DT), time scaling, time shifting and folding, precedence rule.
- Elementary signals: exponential, sine, step, impulse and its properties, ramp, rectangular, triangular, signum, sinc functions.
- Systems: Definition, Classification: linear and non linear, time variant and invariant, causal and noncausal, static and dynamic, stable and unstable, invertible.

### University of Mumbai Semester 4 (SE Second Year) Signals and Systems Syllabus for System Analysis

- System modeling: Input output relation, impulse response, block diagram, integro-differential equation.
- Definition of impulse response
- Convolution integral
- Convolution sum
- Computation of convolution integral using graphical method and analytical method.
- Properties of convolution
- System interconnection
- System properties in terms of impulse response
- Step response in terms of impulse response.

### University of Mumbai Semester 4 (SE Second Year) Signals and Systems Syllabus for Fourier Analysis of Continuous Time Signals

- Orthogonal functions
- Representation of signals in terms of weighted orthogonal basis functions
- Coefficient calculation on the basis of minimum square error.
- Fourier series: Representation of Fourier series in terms of sine, cosine, exponential functions.
- The complex Fourier spectrum, Properties of Fourier series, Power Density Spectrum.
- Convergence of Fourier series
- Gibbs phenomenon
- Fourier transform and its properties.
- Fourier transform of singular functions.
- Energy density spectrum.

### University of Mumbai Semester 4 (SE Second Year) Signals and Systems Syllabus for Module 4

l

- Harmonically related complex exponential
- Determination of discrete time Fourier series – Properties
- Discrete time Fourier transform – Properties
- Fourier Transform of periodic signals

### University of Mumbai Semester 4 (SE Second Year) Signals and Systems Syllabus for Module 5

- Double sided Laplace transforms.
- Region of Convergence, properties, Unilateral Laplace Transform, properties, applications of Laplace transform to the solution of differential equations.
- Relationship between Laplace and Fourier transform.

### University of Mumbai Semester 4 (SE Second Year) Signals and Systems Syllabus for Module 6

- Definition
- Region of Convergence, properties and inverse of z transform.
- Long division method
- Partial fraction expansion method
- Residue method – one-sided Z-transform –properties – initial value & final value theorem - solution of LCCDE with initial conditions – zero input response and zero state response - system function – poles and zeros – basic concept of BIBO stability.
- Analysis of discrete time systems using Z−transform. Relationship between Laplace and Z transform.