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Paolo Prandoni
and
Martin Vetterli
Digital Signal Processing is the branch of engineering that, in the space of just a few decades, has enabled unprecedented levels of interpersonal communication and of on-demand entertainment. By reworking the principles of electronics, telecommunication and computer science into a unifying paradigm, DSP is a the heart of the digital revolution that brought us CDs, DVDs, MP3 players, mobile phones and countless other devices.
Read more
Digital Signal Processing is the branch of engineering that, in the space of just a few decades, has enabled unprecedented levels of interpersonal communication and of on-demand entertainment. By reworking the principles of electronics, telecommunication and computer science into a unifying paradigm, DSP is a the heart of the digital revolution that brought us CDs, DVDs, MP3 players, mobile phones and countless other devices.
Read more
Digital Signal Processing is the branch of engineering that, in the space of just a few decades, has enabled unprecedented levels of interpersonal communication and of on-demand entertainment. By reworking the principles of electronics, telecommunication and computer science into a unifying paradigm, DSP is a the heart of the digital revolution that brought us CDs, DVDs, MP3 players, mobile phones and countless other devices.
The goal, for students of this course, will be to learn the fundamentals of Digital Signal Processing from the ground up. Starting from the basic definition of a discrete-time signal, we will work our way through Fourier analysis, filter design, sampling, interpolation and quantization to build a DSP toolset complete enough to analyze a practical communication system in detail. Hands-on examples and demonstration will be routinely used to close the gap between theory and practice.
To make the best of this class, it is recommended that you are proficient in basic calculus and linear algebra; several programming examples will be provided in the form of Python notebooks but you can use your favorite programming language to test the algorithms described in the course.
Register for this course and see more details by visiting:
OpenCourser.com/course/vv72y4/digital
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What's inside
Syllabus
Module 2.1 Digital Filters
How digital filters work in time and in frequency.
Module 2.2: Filter Design
Learning how to choose and design the right filter using the z-transform and numerical tools.
Read more
Syllabus
Module 2.1 Digital Filters
How digital filters work in time and in frequency.
Module 2.2: Filter Design
Learning how to choose and design the right filter using the z-transform and numerical tools.
Read more
Module 2.3: Stochastic and Adaptive Signal Processing
Analyzing and processing random signals and designing filters that adapt to unknown inputs.
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Develops core skills in filtering and signal processing
Taught by recognized experts in the field of signal processing
Provides hands-on examples and demonstrations for practical application
Requires no prerequisites, making it accessible to beginners
Covers both fundamental and advanced topics in signal processing
Advises students to be proficient in calculus and linear algebra, which may pose a barrier for some
Save this course
Save Digital Signal Processing 2: Filtering to your list so you can find it easily later:
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Reviews summary
Engaging and informative dsp course
Learners say this Digital Signal Processing course is excellent with great and engaging material that is well-explained. Students remark that the homework assignments are well-designed and force learners to grasp the most important concepts. The Python notebooks are also a great addition to the course, especially for reinforcing the connection between the math and the practicality of the theories. While the exams are difficult, students say that the homeworks prepare well for them. Overall, learners who have taken this course found it to be a positive and rewarding learning experience with clear lectures and helpful assignments.
Helpful Python notebooks
"The Python notebooks are also a great addition"
"reinforcing the connection between the math and the practicality of the theories"
Well-designed homework assignments
"The homework assignments have been well designed to force learners to grasp the most important concepts"
"I found it quite rewarding to write some Octave scripts to verify the correctness of my answers"
Excellent material
"Excellent course material"
"This is a really good course that has very good exercises"
"Best material on Signal Processing"
Difficult exams
"the third week was like jumping into the ocean without knowing how to swim."
"In order to barely achieve passing grades on the assignments, I had to spend more than ten times the duration of the videos provided in the course studying on YouTube"
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Digital Signal Processing 2: Filtering with these
activities:
Review Fourier analysis
Show steps
Provide a stronger review of Fourier analysis to better prepare for the course.
Browse courses on
Fourier Analysis
Show steps
-
Read the chapters on Fourier analysis from a textbook.
-
Solve practice problems on Fourier analysis.
-
Complete online tutorials on Fourier analysis
Review Calculus and Linear Algebra Concepts
Show steps
Refresh your understanding of Calculus and Linear Algebra to enhance your comprehension of DSP concepts.
Browse courses on
Calculus
Show steps
-
Recall fundamental calculus principles, including derivatives, integrals, and limits.
-
Revisit basic linear algebra concepts such as vectors, matrices, and transformations.
-
Solve practice problems to reinforce your knowledge.
Solve DSP Practice Problems
Show steps
Practice solving DSP problems to reinforce your understanding of the concepts and develop problem-solving skills.
Browse courses on
Digital Signal Processing
Show steps
-
Review your class notes and textbooks to identify key concepts and formulas.
-
Find online DSP practice problems or create your own.
-
Work through the problems step-by-step, checking your answers against the provided solutions.
-
Identify areas where you need more practice and focus on those topics.
11 other activities
Expand to see all activities and additional details
Show all 14 activities
Read the Textbook: Digital Signal Processing
Show steps
Read the assigned textbook thoroughly to establish a solid foundation in fundamental DSP concepts covered in the course.
Show steps
-
Acquire the textbook.
-
Set aside a dedicated time for reading.
-
Take notes and highlight important concepts.
-
Complete end-of-chapter exercises.
Organize Course Notes and Assignments
Show steps
Organize your lecture notes, assignments, and other course materials regularly to enhance your understanding and retention.
Show steps
-
Review lecture notes and identify key concepts.
-
Organize notes into a logical structure.
-
Compile assignments and categorize them by topic.
Filter design tutorial
Show steps
Expand your knowledge of filter design by following tutorials.
Browse courses on
Filter Design
Show steps
-
Find online tutorials on filter design.
-
Follow the tutorials and implement the filter design techniques in Python code.
-
Test the designed filters on simulated data.
Explore DSP Projects on GitHub
Show steps
Gain practical experience by exploring and working on DSP projects shared by the community.
Browse courses on
Digital Signal Processing
Show steps
-
Visit the GitHub repository for DSP projects.
-
Browse through the projects and find one that interests you.
-
Follow the project instructions to set up the environment and run the code.
-
Experiment with the project by modifying parameters and observing the results.
Practice DSP Algorithm Implementations
Show steps
Solve a series of practice problems focused on implementing DSP algorithms in your preferred programming language.
Browse courses on
Digital Signal Processing
Show steps
-
Identify and understand the specific DSP algorithm you want to implement.
-
Choose a programming language and development environment.
-
Write the code for the algorithm, including input handling, signal processing operations, and output generation.
-
Test and debug your implementation using sample input data.
Join a Study Group or Discussion Forum
Show steps
Engage with peers through study groups or discussion forums to share knowledge, clarify concepts, and learn from different perspectives.
Show steps
-
Identify or join a study group or discussion forum related to the course.
-
Participate actively in discussions and ask questions.
-
Collaborate on problem-solving or project work.
Assist in a Real-World DSP Project
Show steps
Apply your DSP knowledge to a real-world project by volunteering with organizations or research labs involved in DSP applications.
Browse courses on
Digital Signal Processing
Show steps
-
Research organizations or labs working on DSP projects.
-
Identify opportunities to contribute your skills.
-
Contact the organization and inquire about volunteer positions.
Build a Small-Scale DSP Application
Show steps
Apply your DSP knowledge to design and implement a practical application, deepening your understanding and developing technical skills.
Browse courses on
Digital Signal Processing
Show steps
-
Identify a real-world problem that can be addressed using DSP.
-
Design the architecture of your application, including the signal processing algorithms and data structures.
-
Implement your application in a programming language of your choice.
-
Test your application on sample data and evaluate its performance.
Stochastic and adaptive signal processing practice
Show steps
Gain proficiency in stochastic and adaptive signal processing by completing practice drills.
Browse courses on
Signal Processing
Show steps
-
Find online practice drills on stochastic and adaptive signal processing.
-
Complete the practice drills and implement the techniques in Python code.
-
Evaluate the performance of the implemented techniques on simulated data.
Explore Advanced DSP Techniques
Show steps
Seek and follow guided tutorials on advanced DSP techniques, such as adaptive filtering, spectral analysis, or image processing, to deepen your understanding.
Browse courses on
Digital Signal Processing
Show steps
-
Identify specific advanced DSP techniques you are interested in.
-
Search for comprehensive tutorials or courses covering these techniques.
-
Follow the tutorials, completing exercises and projects to apply your knowledge.
Build a Digital Signal Processing Resource Folder
Show steps
Compile a collection of useful resources, including online tools, libraries, and tutorials, to support your DSP learning and projects.
Browse courses on
Digital Signal Processing
Show steps
-
Search for and identify relevant online resources, such as software tools, libraries, and tutorials.
-
Organize the resources into a structured folder system.
-
Document the purpose and usage of each resource.
Review Fourier analysis
Show steps
Provide a stronger review of Fourier analysis to better prepare for the course.
Browse courses on
Fourier Analysis
Show steps
Show steps
Show steps
- Read the chapters on Fourier analysis from a textbook.
- Solve practice problems on Fourier analysis.
- Complete online tutorials on Fourier analysis
Review Calculus and Linear Algebra Concepts
Show steps
Refresh your understanding of Calculus and Linear Algebra to enhance your comprehension of DSP concepts.
Browse courses on
Calculus
Show steps
Show steps
Show steps
- Recall fundamental calculus principles, including derivatives, integrals, and limits.
- Revisit basic linear algebra concepts such as vectors, matrices, and transformations.
- Solve practice problems to reinforce your knowledge.
Solve DSP Practice Problems
Show steps
Practice solving DSP problems to reinforce your understanding of the concepts and develop problem-solving skills.
Browse courses on
Digital Signal Processing
Show steps
Show steps
Show steps
- Review your class notes and textbooks to identify key concepts and formulas.
- Find online DSP practice problems or create your own.
- Work through the problems step-by-step, checking your answers against the provided solutions.
- Identify areas where you need more practice and focus on those topics.
11 other activities
Expand to see all activities and additional details
Show all 14 activities
Read the Textbook: Digital Signal Processing
Show steps
Read the assigned textbook thoroughly to establish a solid foundation in fundamental DSP concepts covered in the course.
Show steps
Show steps
Show steps
- Acquire the textbook.
- Set aside a dedicated time for reading.
- Take notes and highlight important concepts.
- Complete end-of-chapter exercises.
Organize Course Notes and Assignments
Show steps
Organize your lecture notes, assignments, and other course materials regularly to enhance your understanding and retention.
Show steps
Show steps
Show steps
- Review lecture notes and identify key concepts.
- Organize notes into a logical structure.
- Compile assignments and categorize them by topic.
Filter design tutorial
Show steps
Expand your knowledge of filter design by following tutorials.
Browse courses on
Filter Design
Show steps
Show steps
Show steps
- Find online tutorials on filter design.
- Follow the tutorials and implement the filter design techniques in Python code.
- Test the designed filters on simulated data.
Explore DSP Projects on GitHub
Show steps
Gain practical experience by exploring and working on DSP projects shared by the community.
Browse courses on
Digital Signal Processing
Show steps
Show steps
Show steps
- Visit the GitHub repository for DSP projects.
- Browse through the projects and find one that interests you.
- Follow the project instructions to set up the environment and run the code.
- Experiment with the project by modifying parameters and observing the results.
Practice DSP Algorithm Implementations
Show steps
Solve a series of practice problems focused on implementing DSP algorithms in your preferred programming language.
Browse courses on
Digital Signal Processing
Show steps
Show steps
Show steps
- Identify and understand the specific DSP algorithm you want to implement.
- Choose a programming language and development environment.
- Write the code for the algorithm, including input handling, signal processing operations, and output generation.
- Test and debug your implementation using sample input data.
Join a Study Group or Discussion Forum
Show steps
Engage with peers through study groups or discussion forums to share knowledge, clarify concepts, and learn from different perspectives.
Show steps
Show steps
Show steps
- Identify or join a study group or discussion forum related to the course.
- Participate actively in discussions and ask questions.
- Collaborate on problem-solving or project work.
Assist in a Real-World DSP Project
Show steps
Apply your DSP knowledge to a real-world project by volunteering with organizations or research labs involved in DSP applications.
Browse courses on
Digital Signal Processing
Show steps
Show steps
Show steps
- Research organizations or labs working on DSP projects.
- Identify opportunities to contribute your skills.
- Contact the organization and inquire about volunteer positions.
Build a Small-Scale DSP Application
Show steps
Apply your DSP knowledge to design and implement a practical application, deepening your understanding and developing technical skills.
Browse courses on
Digital Signal Processing
Show steps
Show steps
Show steps
- Identify a real-world problem that can be addressed using DSP.
- Design the architecture of your application, including the signal processing algorithms and data structures.
- Implement your application in a programming language of your choice.
- Test your application on sample data and evaluate its performance.
Stochastic and adaptive signal processing practice
Show steps
Gain proficiency in stochastic and adaptive signal processing by completing practice drills.
Browse courses on
Signal Processing
Show steps
Show steps
Show steps
- Find online practice drills on stochastic and adaptive signal processing.
- Complete the practice drills and implement the techniques in Python code.
- Evaluate the performance of the implemented techniques on simulated data.
Explore Advanced DSP Techniques
Show steps
Seek and follow guided tutorials on advanced DSP techniques, such as adaptive filtering, spectral analysis, or image processing, to deepen your understanding.
Browse courses on
Digital Signal Processing
Show steps
Show steps
Show steps
- Identify specific advanced DSP techniques you are interested in.
- Search for comprehensive tutorials or courses covering these techniques.
- Follow the tutorials, completing exercises and projects to apply your knowledge.
Build a Digital Signal Processing Resource Folder
Show steps
Compile a collection of useful resources, including online tools, libraries, and tutorials, to support your DSP learning and projects.
Browse courses on
Digital Signal Processing
Show steps
Show steps
Show steps
- Search for and identify relevant online resources, such as software tools, libraries, and tutorials.
- Organize the resources into a structured folder system.
- Document the purpose and usage of each resource.
Career center
Learners who complete Digital Signal Processing 2: Filtering will develop knowledge and skills
that may be useful to these careers:
Data Scientist
Data Scientist
A Data Scientist analyzes and interprets complex data sets to extract meaningful insights and patterns. This course can be very helpful for establishing a foundation in the mathematical principles and techniques used in data science, such as Fourier analysis and filter design, which are essential for extracting meaningful information from data.
Signal Processing Engineer
Signal Processing Engineer
A Signal Processing Engineer designs, develops, and implements systems for processing and analyzing signals. This course provides a comprehensive foundation in the fundamentals of signal processing, including digital filters, filter design, and stochastic and adaptive signal processing, which are essential for understanding and working with signals in a variety of applications.
Audio Engineer
Audio Engineer
An Audio Engineer designs, develops, and maintains audio systems for recording, mixing, and reproducing sound. This course can be very helpful for building a foundation in the principles and techniques used in audio engineering, such as digital filters and filter design, which are essential for manipulating and processing audio signals.
Communications Engineer
Communications Engineer
A Communications Engineer designs, develops, and maintains communication systems for transmitting and receiving information. This course provides a solid foundation in the fundamentals of digital signal processing, including digital filters, filter design, and stochastic and adaptive signal processing, which are essential for understanding and working with communication signals.
Machine Learning Engineer
Machine Learning Engineer
A Machine Learning Engineer designs, develops, and implements machine learning models for solving complex problems. This course may be helpful for building a foundation in the mathematical principles and techniques used in machine learning, such as Fourier analysis and filter design, which are essential for understanding and working with data in machine learning models.
Software Engineer
Software Engineer
A Software Engineer designs, develops, and maintains software applications. While this course is not directly related to software engineering, it may be helpful for building a foundation in the mathematical principles and techniques used in software development, such as Fourier analysis and filter design, which can be applied to a variety of software applications.
Data Analyst
Data Analyst
A Data Analyst analyzes and interprets data to extract meaningful insights and patterns. This course may be helpful for building a foundation in the mathematical principles and techniques used in data analysis, such as Fourier analysis and filter design, which are essential for understanding and working with data.
Statistician
Statistician
A Statistician collects, analyzes, and interprets data to solve problems and make informed decisions. This course may be helpful for building a foundation in the mathematical principles and techniques used in statistics, such as Fourier analysis and filter design, which are essential for understanding and working with data.
Financial Analyst
Financial Analyst
A Financial Analyst analyzes and interprets financial data to make investment decisions. This course may be helpful for building a foundation in the mathematical principles and techniques used in financial analysis, such as Fourier analysis and filter design, which are essential for understanding and working with financial data.
Operations Research Analyst
Operations Research Analyst
An Operations Research Analyst uses mathematical and analytical techniques to solve problems and improve decision-making. This course may be helpful for building a foundation in the mathematical principles and techniques used in operations research, such as Fourier analysis and filter design, which are essential for understanding and working with data.
Actuary
Actuary
An Actuary analyzes and interprets data to assess risk and make financial decisions. This course may be helpful for building a foundation in the mathematical principles and techniques used in actuarial science, such as Fourier analysis and filter design, which are essential for understanding and working with data.
Market Research Analyst
Market Research Analyst
A Market Research Analyst analyzes and interprets data to understand consumer behavior and make marketing decisions. This course may be helpful for building a foundation in the mathematical principles and techniques used in market research, such as Fourier analysis and filter design, which are essential for understanding and working with data.
Epidemiologist
Epidemiologist
An Epidemiologist analyzes and interprets data to investigate and control the spread of disease. This course may be helpful for building a foundation in the mathematical principles and techniques used in epidemiology, such as Fourier analysis and filter design, which are essential for understanding and working with data.
Biostatistician
Biostatistician
A Biostatistician analyzes and interprets data to solve problems in biology and medicine. This course may be helpful for building a foundation in the mathematical principles and techniques used in biostatistics, such as Fourier analysis and filter design, which are essential for understanding and working with data.
Chemist
Chemist
A Chemist studies the composition, structure, properties, and reactions of matter. While this course is not directly related to chemistry, it may be helpful for building a foundation in the mathematical principles and techniques used in chemistry, such as Fourier analysis and filter design, which can be applied to a variety of chemical applications.
For more career information including salaries, visit:
OpenCourser.com/course/vv72y4/digital
Reading list
We've selected 11 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Digital Signal Processing 2: Filtering.
Classic textbook in the field of DSP. Can be used as an alternative or supplementary textbook.
Classic textbook in the field of DSP. Useful to provide supplementary explanations. Also valuable as a current reference.
Comprehensive handbook on DSP. Useful as a reference tool for specific topics.
Introductory textbook for DSP. Good for providing background or prerequisite knowledge.
Textbook that uses MATLAB for DSP. Good for students who want to implement algorithms in MATLAB.
Textbook that provides a comprehensive introduction to signal processing. Good for students who want to learn the basics of signal processing.
Textbook that provides a practical guide to DSP. Good for students who want to learn how to apply DSP techniques in real-world applications.
Textbook that provides an introduction to Python for signal processing. Good for students who are new to Python.
Textbook that focuses on applications of DSP in digital communications. Good for students who are interested in this area.
Textbook that focuses on adaptive signal processing. Good for the module on stochastic and adaptive signal processing.
Classic textbook on stochastic processes. Useful for the module on stochastic and adaptive signal processing.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/vv72y4/digital
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Effort
8-10 hours/week
Level
Intermediate
Via
Coursera
Institution
École Polytechnique Fédérale de Lausanne2
Instructors
Paolo Prandoni
Martin Vetterli
Language
English
Transcripts
Español
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Português
Deutsch
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中文
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آذربایجان دیلی
This course belongs to a
collection
called
Digital Signal Processing. It's comprised of four courses:
- Digital Signal Processing 2: Filtering (viewing)
- Digital Signal Processing 3: Analog vs Digital
- Digital Signal Processing 1: Basic Concepts and Algorithms
- Digital Signal Processing 4: Applications
Good to know
Develops core skills in filtering and signal processing
Taught by recognized experts in the field of signal processing
Provides hands-on examples and demonstrations for practical application
Requires no prerequisites, making it accessible to beginners
Covers both fundamental and advanced topics in signal processing
Advises students to be proficient in calculus and linear algebra, which may pose a barrier for some
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