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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 Introduction to Time-Frequency Analysis and Wavelet Transforms certification course delves into signal processing techniques crucial for various applications. Starting with foundational concepts like Fourier transforms, it progresses to advanced methods including STFT, WVD, and wavelet transforms. Practical demonstrations in MATLAB reinforce theoretical learning, empowering students to apply these techniques effectively.
Students explore topics such as bandwidth principles, analytic signals, and interference handling, gaining insights applicable across domains like speech processing and seismic data analysis. With a focus on wavelet transforms, the Introduction to Time-Frequency Analysis and Wavelet Transforms certification by NPTEL equips learners with tools for denoising, signal estimation, and addressing boundary effects.
The Highlights
- Online Course
- 10 Weeks Duration
- Offered by IIT Madras
Programme Offerings
- Certificate of completion
- Practical Learning
- Hands-on Experience
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Madras (IITM) |
The Introduction to Time-Frequency Analysis and Wavelet Transforms certification fees is free. However, if you want a certificate, you must register and take the proctored exam at designated centres, which is optional and comes with a fee of Rs 1000.
Introduction to Time-Frequency Analysis and Wavelet Transforms Certification Fee Structure
Particulars | Total Fees |
Introduction to Time-Frequency Analysis and Wavelet Transforms (exam) | Rs 1000/- |
Eligibility Criteria
Certification Qualifying Details
To receive the Introduction to Time-Frequency Analysis and Wavelet Transforms certification by NPTEL, you need a minimum average assignment score of 10/25 and an exam score of 30/75.
What you will learn
After completing the Introduction to Time-Frequency Analysis and Wavelet Transforms certification syllabus, you will delve into Time-Frequency Analysis (TFA) and Wavelet Transforms, gaining a comprehensive understanding of how to analyse signals effectively across both time and frequency domains.
Upon completion of the Introduction to Time-Frequency Analysis and Wavelet Transforms training, you will explore foundational concepts such as Fourier transforms and advanced methods like Short-Time Fourier Transform (STFT), Wigner-Ville distributions (WVD), and wavelet transforms.
Who it is for
The Introduction to Time-Frequency Analysis and Wavelet Transforms online course is suitable for individuals looking to enhance their knowledge of Fourier transforms, STFT, WVD, and wavelet transforms, and their applications in various domains. This course can also be beneficial for:
Admission Details
Follow these steps to join the Introduction to Time-Frequency Analysis and Wavelet Transforms classes:
Step 1: Browse the URL below:
https://swayam.gov.in/NPTEL
Step 2: Click on the “Sign-in/ Register” button
Step 3: Log in using a Google account-enabled email address
Step 4: Select your preferred course. Review the course details and fill out the required fields
Step 5: Click on the "Join" button
The Syllabus
- Introduction – Part I
- Introduction – Part II
- Basic Definitions and Concepts - I
- Basic Definitions and Concepts - II
- Continuous-Time Fourier Series
- Continuous-Time Fourier Transform
- Discrete-Time Fourier Series
- Discrete-Time Fourier Transform
- Discrete Fourier Transform & Periodogram
- TFA: Basic Concepts & Definition
- Bandwidth Equation
- Instantaneous Frequency
- Analytic Signals
- Multicomponent Signals
- Duration-Bandwidth Principle
- Joint Energy Density
- STFT: Definition and Interpretations
- General Properties - I
- General Properties - II
- STFT: Application
- WVD: Definition and Interpretations
- Properties of WVD
- Interference and Pseudo WVD
- Cohen’s class: Brief Review
- Connections with Spectrogram
- WVD: Application
- CWT: Definition and Interpretations
- Wavelets
- TFA and Filtering Perspective
- Scalogram
- Scaling Function
- Practical Aspects
- Wavelet Maxima and Ridges
- CWT: Application
- DWT: Definition and Interpretations
- Frame Theory: Quick Round-up
- Multiresolution Approximation
- Orthonormal Bases and Conjugate Mirror Filters
- DWT Implementation : Pyramidal Algorithm
- Choosing a Wavelet
- Handling Boundary Effects
- De-noising & Signal Estimation – Part I
- De-noising & Signal Estimation – Part II
- DWT: Application
- Closing Remarks
Evaluation process
The Introduction to Time-Frequency Analysis and Wavelet Transforms certification offers an optional exam. Your final score is determined by averaging the best 8 out of 12 assignments (25%) and your proctored exam score (75%).
Instructors
IIT Madras (IITM) Frequently Asked Questions (FAQ's)
While prior knowledge in signal processing or basic mathematics is helpful, the course starts with foundational concepts and gradually builds upon them.
Practical demonstrations in MATLAB will complement theoretical concepts at each stage of the course. You will have access to code snippets and exercises to reinforce your learning.
Yes, you will gain insights into analysing signals in fields such as speech processing, seismic data analysis, medical imaging, financial data analysis, and more.
You will have access to support resources such as discussion forums, where you can interact with instructors and fellow learners to seek clarification on concepts or resolve any difficulties.
Yes, you will receive a certificate demonstrating your proficiency in Time-Frequency Analysis and Wavelet Transforms upon successfully finishing the course requirements.