University of Mumbai Syllabus For Semester 7 (BE Fourth Year) Digital Signal Processing: Knowing the Syllabus is very important for the students of Semester 7 (BE Fourth Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 7 (BE Fourth Year) Digital Signal Processing syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the Semester 7 (BE Fourth Year) Digital Signal Processing 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 7 (BE Fourth Year) Digital Signal Processing Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for Semester 7 (BE Fourth Year) Digital Signal Processing in addition to this.

## University of Mumbai Semester 7 (BE Fourth Year) Digital Signal Processing Revised Syllabus

University of Mumbai Semester 7 (BE Fourth Year) Digital Signal Processing and their Unit wise marks distribution

### University of Mumbai Semester 7 (BE Fourth Year) Digital Signal Processing Course Structure 2021-2022 With Marking Scheme

# | Unit/Topic | Marks |
---|---|---|

100 | Discrete Time Signal | |

200 | Discrete Time System | |

300 | Discrete Fourier Transform | |

400 | Fast Fourier Transform | |

500 | DSP Algorithms | |

600 | DSP Processors and Application of DSP | |

Total | - |

## Syllabus

- Introduction to Digital Signal Processing
- Discrete Time Signals
- Sampling and Reconstruction
- Standard DT Signals
- Concept of Digital Frequency
- Representation of DT signal using Standard DT Signals
- Signal Manipulations (shifting, addition, subtraction, multiplication)
- Classification of Signals
- Linear Convolution formulation (without mathematical proof)
- Circular Convolution formulation (without mathematical proof), Matrix Representation of Circular Convolution, Linear by Circular Convolution
- Auto and Cross Correlation formula evaluation

- Introduction to Discrete Time System, Classification of DT Systems (Linear/Non Linear, Causal/Non Causal, Time Invariant/Time Variant Systems, Stable/ Unstable), BIBO Time Domain Stability Criteria.
- LTI system, Concept of Impulse Response and Step Response.
- Concept of IIR System and FIR System, Output of IIR and FIR DT system using Time Domain Linear Convolution formula Method.

- Introduction to DTFT, DFT, Relation between DFT and DTFT, Properties of DFT without mathematical proof (Scaling and Linearity, Periodicity, Time Shift and Frequency Shift, Time Reversal, Convolution Property and Parsevals’ Energy Theorem).
- DFT computation using DFT properties.
- Transfer function of DT System in frequency domain using DFT.
- Linear and Circular Convolution using DFT.
- Response of FIR system calculation in frequency domain using DFT.

- Radix-2 DIT-FFT algorithm, DIT-FFT Flowgraph for N=4, 6 & 8, Inverse FFT algorithm.
- Spectral Analysis using FFT, Comparison of complex and real, multiplication and additions of DFT and FFT.

- Carls’ Correlation Coefficient Algorithm
- Fast Circular Convolution Algorithm
- Fast Linear Convolution Algorithm
- Linear FIR filtering using Fast Overlap Add Algorithm and Fast Overlap Save Algorithm

- Need for Special architecture of DSP processor
- Difference between DSP processor & microprocessor
- A general DSP processor TMS320C54XX series
- Case study of Real Time DSP applications to Speech Signal Processing and Biomedical Signal Processing.