Digital Signal Processing 1: Basic Concepts and Algorithms (Coursera)

Digital Signal Processing 1: Basic Concepts and Algorithms (Coursera)

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.

Class Deals by MOOC List - Click here and see Coursera's Active Discounts, Deals, and Promo Codes.

In this series of four courses, you will 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.
Course 1 of 4 in the Digital Signal Processing Specialization.
What You Will Learn

  • The nature of discrete-time signals
  • Discrete-time signals are vectors in a vector space
  • Discrete-time signals can be analyzed in the frequency domain via the Fourier transform

Syllabus

WEEK 1
Module 1.1: Digital Signal Processing: the Basics
Introduction to the notation and basics of Digital Signal Processing

WEEK 2
Module 1.2: Signal Processing Meets Vector Space
Modeling signals as vectors in an appropriate vector space. Using linear algebra to express signal manipulations.

WEEK 3
Module 1.3: Fourier Analysis: the Basics
The fundamental concepts behind the Fourier transform and the frequency domain

WEEK 4
Module 1.4: Fourier Analysis: More Advanced Tools
Delving deeper in the world of Fourier analysis.

Go to Class
MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Related Courses

Algorithms on Strings (Coursera) Coursera
University of California, San Diego,Higher School of Economics - HSE University

Algorithms on Strings (Coursera)

World and internet is full of textual information. We search for information using textual queries, we read websites, books, e-mails. All those are strings from the point of view of computer science. To make sense of all that information and make search efficient, search engines use many string algorithms. Moreover, the emerging field of personalized medicine uses many search algorithms to find disease-causing mutations in the human genome.

Jun 22nd 2026
4 Weeks
Data Structures (Coursera) Coursera
University of California, San Diego,Higher School of Economics - HSE University

Data Structures (Coursera)

A good algorithm usually comes together with a set of good data structures that allow the algorithm to manipulate the data efficiently. In this course, we consider the common data structures that are used in various computational problems. You will learn how these data structures are implemented in different programming languages and will practice implementing them in our programming assignments.

Jun 22nd 2026
5-12 Weeks
Internet of Things: Multimedia Technologies (Coursera) Coursera
University of California, San Diego

Internet of Things: Multimedia Technologies (Coursera)

Content is an eminent example of the features that contributed to the success of wireless Internet. Mobile platforms such as the Snapdragon™ processor have special hardware and software capabilities to make acquisition, processing and rendering of multimedia content efficient and cost-effective.

Jun 22nd 2026
3 Weeks
Packet Switching Networks and Algorithms (Coursera) Coursera
University of Colorado System

Packet Switching Networks and Algorithms (Coursera)

In this course, we deal with the general issues regarding packet switching networks. We discuss packet networks from two perspectives. One perspective involves external view of the network, and is concerned with services that the network provides to the transport layer that operates above it at the end systems. The second perspective is concerned with the internal operation of a network, including approaches directing information across the network, addressing and routing procedures, as well as congestion control inside the network.

Jun 22nd 2026
5-12 Weeks
Big Data Analysis with Scala and Spark (Coursera) Coursera
École Polytechnique Fédérale de Lausanne

Big Data Analysis with Scala and Spark (Coursera)

Manipulating big data distributed over a cluster using functional concepts is rampant in industry, and is arguably one of the first widespread industrial uses of functional ideas. This is evidenced by the popularity of MapReduce and Hadoop, and most recently Apache Spark, a fast, in-memory distributed collections framework written in Scala. In this course, we'll see how the data parallel paradigm can be extended to the distributed case, using Spark throughout.

Jun 22nd 2026
4 Weeks
Advanced Algorithms and Complexity (Coursera) Coursera
University of California, San Diego,Higher School of Economics - HSE University

Advanced Algorithms and Complexity (Coursera)

You've learned the basic algorithms now and are ready to step into the area of more complex problems and algorithms to solve them. Advanced algorithms build upon basic ones and use new ideas. We will start with networks flows which are used in more typical applications such as optimal matchings, finding disjoint paths and flight scheduling as well as more surprising ones like image segmentation in computer vision.

Jun 22nd 2026
5-12 Weeks
Number Theory and Cryptography (Coursera) Coursera
University of California, San Diego,Higher School of Economics - HSE University

Number Theory and Cryptography (Coursera)

We all learn numbers from the childhood. Some of us like to count, others hate it, but any person uses numbers everyday to buy things, pay for services, estimated time and necessary resources. People have been wondering about numbers’ properties for thousands of years. And for thousands of years it was more or less just a game that was only interesting for pure mathematicians. Famous 20th century mathematician G.H. Hardy once said “The Theory of Numbers has always been regarded as one of the most obviously useless branches of Pure Mathematics”. Just 30 years after his death, an algorithm for encryption of secret messages was developed using achievements of number theory. It was called RSA after the names of its authors, and its implementation is probably the most frequently used computer program in the word nowadays.

Jun 22nd 2026
4 Weeks
Big Data, Genes, and Medicine (Coursera) Coursera
The State University of New York

Big Data, Genes, and Medicine (Coursera)

This course distills for you expert knowledge and skills mastered by professionals in Health Big Data Science and Bioinformatics. You will learn exciting facts about the human body biology and chemistry, genetics, and medicine that will be intertwined with the science of Big Data and skills to harness the avalanche of data openly available at your fingertips and which we are just starting to make sense of.

Jun 22nd 2026
5-12 Weeks
Automated Reasoning: satisfiability (Coursera) Coursera
EIT Digital

Automated Reasoning: satisfiability (Coursera)

In this course you will learn how to apply satisfiability (SAT/SMT) tools to solve a wide range of problems. Several basic examples are given to get the flavor of the applications: fitting rectangles to be applied for printing posters, scheduling problems, solving puzzles, and program correctness. Also underlying theory is presented: resolution as a basic approach for propositional satisfiability, the CDCL framework to scale up for big formulas, and the simplex method to deal with linear inequallities.

Jun 22nd 2026
4 Weeks