Digital Signal Processing and its Applications
Enroll in the Digital Signal Processing and its Applications online course to study how to process one-dimensional signals and their utilities in the industry.
Online
12 Weeks
Free 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
- Introduction: Digital signal processing and its objectives
- Introduction to sampling and Fourier Transform
- Sampling of sine wave and associate complication
- Review of Sampling Theorem
- Idealized Sampling, Reconstruction
- Filters And Discrete System
- Answering questions from previous lectures.
- Desired requirements for discrete system
- Introduction to phasors
- Advantages of phasors in discrete systems
- What do we want from a discrete system?
- Linearity - Homogeneity and Additivity
- Shift Invariance and Characterization of LTI systems
- Characterization of LSI system using it’s impulse response
- Introduction to convolution
- Convolution: deeper ideas and understanding
- Characterisation of LSI systems, Convolution-properties
- Response of LSI systems to complex sinusoids
- Convergence of convolution and BIBO stability
- Commutativity & Associativity
- BIBO Stability of an LSI system
- Causality and memory of an LSI system.
- Frequency response of an LSI system.
- Introduction and conditions of Stability
- Vectors and Inner Product.
- Interpretation of frequency Response as Dot Product
- Interpretation of Frequency Response as Eigenvalues
- Discrete time fourier transform
- DTFT in LSI System and Convolution Theorem.
- Definitions of sequences and Properties of DTFT.
- Introduction to DTFT, IDTFT
- Dual to convolution property
- Multiplication Property, Introduction to Parseval’s theorem
- Introduction And Property of DTFT
- Review of Inverse DTFT
- Parseval’s Theorem and energy and time spectral density
- Discussion on Unit Step
- Introduction to Z transform
- Example of Z transform
- Region of Convergence
- Properties of Z transform
- Z- Transform
- Rational System
- Introduction And Examples Of Rational Z Transform And Their Inverses
- Double Pole Examples And Their Inverse Z Transform
- Partial Fraction Decomposition
- LSI System Examples
- Why are Rational Systems so important?
- Solving Linear constant coefficient difference equations which are valid over a finite range of time
- Introduction to Resonance in Rational Systems
- Characterization of Rational LSI system
- Causality and stability of the ROC of the system function
- Recap Of Rational Systems And Discrete Time Filters
- Specifications For Filter Design
- Four Ideal Piecewise Constant Filters
- Important Characteristics Of Ideal Filters
- Synthesis of Discrete Time Filters, Realizable specifications
- Realistic Specifications for low pass filter. Filter Design Process
- Introduction to Filter Design. Analog IIR Filter,FIR discrete-time filter, IIR discrete-time filter.
- Analog to discrete transform
- Intuitive transforms, Bilinear Transformation
- Steps for IIR filter design
- Analog filter design using Butterworth Approximation
- Butterworth filter Derivation And Analysis of butterworth system function
- Chebychev filter Derivation
- Midsem paper review discussion
- The Chebyschev Approximation
- Next step in design: Obtain poles
- Introduction to Frequency Transformations in the Analog Domain
- High pass transformation
- Band pass transformation
- Frequency Transformation
- Different types of filters
- Impulse invariant method and ideal impulse response
- Design of FIR of length (2N+1) by the truncation method,Plotting the function V(w)
- IIR filter using rectangular window, IIR filter using triangular window
- Proof that frequency response of an fir filter using rectangular window function centered at 0 is real.
- Introduction to window functions
- Examples of window functionsLecture 29C: Explanation of Gibb’s Phenomenon and it’s application
- Comparison of FIR And IIR Filter’s
- Comparison of FIR And IIR Filter’s
- Comparison of FIR And IIR Filter’s
- Introduction and approach to realization (causal rational system)
- Comprehension of Signal Flow Graphs and Achievement of Pseudo Assembly Language Code.
- Introduction to IIR Filter Realization and Cascade Structure
- Cascade Parallel Structure
- Lattice Structure
- Recap And Review of Lattice Structure, Realization of FIR Function.
- Backward recursion, Change in the recursive equation of lattice.
- Lattice structure for an arbitrary rational system
- Example realization of lattice structure for rational system
- Introductory Remarks of Discrete Fourier Transform and Frequency Domain Sampling
- 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)
Digital signal processing is used in engineering domains like Mechanical and Civil. It is even being applied by financial analysts today.
Although there is no practical learning, candidates will get ample amounts of examples and assignments to test and improve their knowledge.
No, the proctored exam is conducted offline.