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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The term “digital signal processing” implies the processing of various types of digital signals or signals indexed by integers. This can be one, two, or three-dimensional, and the signals can come in the form of audio, video, images, or picture elements. The Digital Signal Processing and its Applications certification course focus on decoding one-dimensional signals.

The Digital Signal Processing and its Applications syllabus begin by discussing Discrete-Time systems and signals. The curriculum then proceeds to introduce the properties and theoretical implications of the Z transform. Moreover, this curriculum is highly relevant to the undergraduate course model as it is designed by undergraduate students, along with the course faculty.

Two premier institutes, namely IIT Bombay and GH Raisoni College of Engineering, Nagpur, have designed this online course on Digital Signal Processing and its Applications. Candidates can choose to audit the course for free or pay the exam fee to obtain the certification. Assignments and examples aid the teaching-learning process.

The Highlights

Free online course
IIT Bombay and GH Raisoni College of Engineering, Nagpur course
Expert faculty
Comprehensive curriculum
Assignments, examples, and summaries
Paid certification
Undergraduate/ postgraduate level

Programme Offerings

IIT Bombay
Nagpur course
Expert Faculty
expansive curriculum
assignments
Summaries
Illustrative examples
AICTE approved
course certificate

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Bombay

The Digital Signal Processing and its Applications online course is available for a free audit.
However, there is a separate fee for the Digital Signal Processing and its Applications certification.

Digital Signal Processing course fee structure

Course	Total fee
Digital Signal Processing and its Applications	Free
Digital Signal Processing and its Applications certification	Rs. 1000

Eligibility Criteria

Some knowledge of Signals and Systems will help candidates who want to enroll for the Digital Signal Processing and its Applications training, but it is not compulsory.

Certificate Qualifying Details

The Digital Signal Processing and its Applications certification are given to candidates who fulfill the minimum passing criteria in the assignments and the final exam.

What you will learn

Knowledge of electronics

Candidates who complete the Digital Signal Processing and its Applications program will have learned about:

Foundations of digital filter design
What is digital signal processing
Sampling theorem, reconstruction and sampling
Advantages of using phasors
Discrete system and filters
Convolution: introduction and properties

Who it is for

This course is intended for first-year graduates, master’s students and undergraduate students.

Admission Details

Candidates can register for the Digital Signal Processing and its Applications certification course by clicking on this link:
https://onlinecourses.nptel.ac.in/noc21_ee20/preview.
Proceed by selecting the “Sign in” button.
Next, follow the instructions to create a new account or log in via your existing account.
You can start learning after your registration is complete.

Application Details

The Digital Signal Processing and its Applications online program has no application form. Candidates need to register on the website by entering their name, email ID, and password.

The Syllabus

Lecture 1: Introduction: Digital signal processing and its objectives
Lecture 2A: Introduction to sampling and Fourier Transform
Lecture 2B: Sampling of sine wave and associate complication
Lecture 3A: Review of Sampling Theorem
Lecture 3B: Idealized Sampling, Reconstruction
Lecture 3C: Filters And Discrete System

Lecture 4A: Answering questions from previous lectures.
Lecture 4B: Desired requirements for discrete system
Lecture 4C: Introduction to phasors
Lecture 4D: Advantages of phasors in discrete systems
Lecture 5A: What do we want from a discrete system?
Lecture 5B: Linearity - Homogeneity and Additivity
Lecture 5C: Shift Invariance and Characterization of LTI systems
Lecture 6A: Characterization of LSI system using it’s impulse response
Lecture 6B: Introduction to convolution
Lecture 6C: Convolution: deeper ideas and understanding

Lecture 7A: Characterisation of LSI systems, Convolution-properties
Lecture 7B: Response of LSI systems to complex sinusoids
Lecture 7C: Convergence of convolution and BIBO stability
Lecture 8A: Commutativity & Associativity
Lecture 8B: BIBO Stability of an LSI system
Lecture 8C: Causality and memory of an LSI system.
Lecture 8D: Frequency response of an LSI system.
Lecture 9A: Introduction and conditions of Stability
Lecture 9B: Vectors and Inner Product.
Lecture 9C: Interpretation of frequency Response as Dot Product
Lecture 9D: Interpretation of Frequency Response as Eigenvalues

Lecture 10A: Discrete time fourier transform
Lecture 10B: DTFT in LSI System and Convolution Theorem.
Lecture 10C: Definitions of sequences and Properties of DTFT.
Lecture 11A: Introduction to DTFT, IDTFT
Lecture 11B: Dual to convolution property
Lecture 11C: Multiplication Property, Introduction to Parseval’s theorem
Lecture 12A: Introduction And Property of DTFT
Lecture 12B: Review of Inverse DTFT
Lecture 12C: Parseval’s Theorem and energy and time spectral density

Lecture 13A: Discussion on Unit Step
Lecture 13B: Introduction to Z transform
Lecture 13C: Example of Z transform
Lecture 13D: Region of Convergence
Lecture 13E: Properties of Z transform
Lecture 14A: Z- Transform
Lecture 14B: Rational System
Lecture 15A: Introduction And Examples Of Rational Z Transform And Their Inverses
Lecture 15B: Double Pole Examples And Their Inverse Z Transform
Lecture 15C: Partial Fraction Decomposition
Lecture 15D: LSI System Examples

Lecture 16A: Why are Rational Systems so important?
Lecture 16B: Solving Linear constant coefficient difference equations which are valid over a finite range of time
Lecture 16C: Introduction to Resonance in Rational Systems
Lecture 17A: Characterization of Rational LSI system
Lecture 17B: Causality and stability of the ROC of the system function
Lecture 18A: Recap Of Rational Systems And Discrete Time Filters
Lecture 18B: Specifications For Filter Design
Lecture 18C: Four Ideal Piecewise Constant Filters
Lecture 18D: Important Characteristics Of Ideal Filters

Lecture 19A: Synthesis of Discrete Time Filters, Realizable specifications
Lecture 19B: Realistic Specifications for low pass filter. Filter Design Process
Lecture 20A: Introduction to Filter Design. Analog IIR Filter,FIR discrete-time filter, IIR discrete-time filter.
Lecture 20B: Analog to discrete transform
Lecture 20C: Intuitive transforms, Bilinear Transformation
Lecture 21A: Steps for IIR filter design
Lecture 21B: Analog filter design using Butterworth Approximation

Lecture 22A: Butterworth filter Derivation And Analysis of butterworth system function
Lecture 22B: Chebychev filter Derivation
Lecture 23: Midsem paper review discussion
Lecture 24A: The Chebyschev Approximation
Lecture 24B: Next step in design: Obtain poles
Lecture 25A: Introduction to Frequency Transformations in the Analog Domain
Lecture 25B: High pass transformation
Lecture 25C: Band pass transformation

Lecture 26A: Frequency Transformation
Lecture 26B: Different types of filters
Lecture 27A: Impulse invariant method and ideal impulse response
Lecture 27B: Design of FIR of length (2N+1) by the truncation method,Plotting the function V(w)
Lecture 28A: IIR filter using rectangular window, IIR filter using triangular window
Lecture 28B: Proof that frequency response of an fir filter using rectangular window function centered at 0 is real.

Lecture 29A: Introduction to window functions
Lecture 29B: Examples of window functions
Lecture 29C: Explanation of Gibb’s Phenomenon and it’s application
Lecture 30A: Comparison of FIR And IIR Filter’s
Lecture 30B: Comparison of FIR And IIR Filter’s
Lecture 30C: Comparison of FIR And IIR Filter’s
Lecture 31A: Introduction and approach to realization (causal rational system)
Lecture 31B: Comprehension of Signal Flow Graphs and Achievement of Pseudo Assembly Language Code.

Lecture 32A: Introduction to IIR Filter Realization and Cascade Structure
Lecture 32B: Cascade Parallel Structure
Lecture 32C: Lattice Structure
Lecture 33A: Recap And Review of Lattice Structure, Realization of FIR Function.
Lecture 33B: Backward recursion, Change in the recursive equation of lattice.
Lecture 34A: Lattice structure for an arbitrary rational system
Lecture 34B: Example realization of lattice structure for rational system

Lecture 35A: Introductory Remarks of Discrete Fourier Transform and Frequency Domain Sampling
Lecture 35B: Principle of Duality, The Circular Convolution

Evaluation process

To get the Digital Signal Processing and its Applications certification, candidates need to fulfil two criteria. First, they must pass all the internal assessments, and the average score of their eight best assessments should be >= 10/25. Second, they need to pass the final exam with >= 30/75 marks and ensure that their total score is >= 40/100.

Instructors

IIT Bombay Frequently Asked Questions (FAQ's)

1: In which industries is digital signal processing helpful?

Digital signal processing is used in engineering domains like Mechanical and Civil. It is even being applied by financial analysts today.

2: What is the academic status of this subject?

This subject is taught either as a Core subject or a Preferred elective in the undergraduate curriculum.

3: Is there any practical learning in this module?

Although there is no practical learning, candidates will get ample amounts of examples and assignments to test and improve their knowledge.

4: Can I attend the exam online?

No, the proctored exam is conducted offline.

5: Who has designed the course?

Prof. V.M. gadre from IIT Bombay, faculty members from GH Raisoni College of Engineering, Nagpur, and undergraduate students from both these institutions have designed this course to keep it exciting and relevant.