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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 and postgraduate students, along with the course faculty.
IIT Bombay 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 course
- Expert faculty
- Comprehensive curriculum
- Assignments, examples, and summaries
- Paid certification
- Undergraduate/ postgraduate level
Programme Offerings
- IIT Bombay
- Expert Faculty
- expansive curriculum
- assignments
- Summaries
- Illustrative examples
- 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 | Amount |
Digital Signal Processing and its Applications | NIL |
Digital Signal Processing and its Applications certification | Rs. 1,000 |
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
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/noc25_ee23/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.