Fundamentals of Digital Signal Processing

This course focuses on the fundamentals of digital signal processing that covers the fundamentals of signals, systems and transforms.

Beginner

77 Lessons

20h

Certificate of Completion

This course focuses on the fundamentals of digital signal processing that covers the fundamentals of signals, systems and transforms.

AI-POWERED

Explanations

AI-POWERED

Explanations

This course includes

1 Assessment

41 Playgrounds

6 Quizzes

This course includes

1 Assessment

41 Playgrounds

6 Quizzes

Course Overview

We live in a world filled with signals which can be represented by sequences of numbers in a digital machine. These sequences of numbers can be manipulated by algorithms and have numerous applications in audio, images, video, wireless transmission and countless other domains. In this course, you’ll understand the field of digital signal processing with a focus on the design and analysis of signals, and algorithms. You’ll cover the DSP fundamentals of signals, systems and transforms. You’lll learn about th...Show More

TAKEAWAY SKILLS

Scientific Algorithms

Python Basics

What You'll Learn

An understanding of digital signals in the time and frequency domains

Familiarity with basic signal types and operations on them

An understanding of the sampling of signals

Knowledge about the Fourier transform and its properties

A working knowledge of Linear Time Invariant (LTI) systems and their applications

The ability to modulate and demodulate a digital signal and utilizing its spectrum

What You'll Learn

An understanding of digital signals in the time and frequency domains

Course Content

Introduction to Signals

The World of Signals Signals Are Everywhere What is Digital Signal Processing?

Applications of DSP

Basic Signals and Operations

How to Generate a Basic Sinusoid A Unit Impulse Signal Operations on Signals How to Shift a Signal in Time Domain The Relation between Time Shift and Phase Circular Shift Correlation between Signals Activity 1

Complex Signals and the Frequency Domain

Where Do Complex Numbers Come From?Simplify Complex Operations Phase Rotations

Complex Sinusoids: The Doorway to DSP Negative Frequencies A Real Sinusoid: The DNA of Signals Frequency Domain Building Blocks of All Signals Spectrum and Bandwidth Spectral Shift in Wireless Communication Quiz 1

Sampling a Signal

From Continuous Time to DiscreteTime Why Do Spectral Aliases Arise?Aliasing and the Sampling Theorem Sample Rate and Discrete Frequency The Idea of Orthogonality Discrete Frequency Axis Number Representation Quiz 2

The Discrete Fourier Transform

DFT and the Mysteries of the Universe DFT Definition The Spectrum of the Unit Impulse Reading Amplitude and Phase Plots Periodicity in Frequency and Time Domains A Rectangular Signal Main Lobe Peak: Width and Zero Crossings DFT Phase

DFT Leakage Fast Fourier Transform The Inverse Discrete Fourier Transform Quiz 3

Fourier Transform Properties

8 Lessons

Digital Systems

16 Lessons

Putting It All Together: An OFDM Modem

8 Lessons

Demodulating an OFDM Signal Stream

Assessment

The Last Words

1 Lesson

Bibliography

1 Lesson

Course Author

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