# Digital Signal Processing Semester 7 (BE Fourth Year) BE Computer Engineering University of Mumbai Topics and Syllabus

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 2022-2023 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 2022-2023. They will also receive a complete practical syllabus for Semester 7 (BE Fourth Year) Digital Signal Processing in addition to this.

CBCGS [2019 - current]
CBGS [2015 - 2018]
Old [2000 - 2014]

## 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

## Syllabus

100 Discrete Time Signal
• 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
200 Discrete Time System
• 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.
300 Discrete Fourier Transform
• 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.
400 Fast Fourier Transform
• 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.
500 DSP Algorithms
• 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
600 DSP Processors and Application of DSP
• 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.