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

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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 the basic signal types and perform different operations. You’ll develop an understanding about the frequency domain and how to represent signals in time, and the transformation from one domain to the other using the Fourier transform. You’ll also learn about digital systems. Finally, you’ll develop a practical OFDM system focusing on modulation and demodulation.

By the end of this course, you’ll be able to model, analyze and design signals and systems in greater depth, in the time and frequency domains.

Fundamentals of Digital Signal Processing

The world of signals encompasses almost everything in our universe. 

## The universe

Since the creation of time, everything that moves generates signals in a never-ending cycle. Some notable examples include:
<ul> 
<li>The spinning of galaxies, stars, and planets</li> 
<li>The internal chemical activities of celestial bodies</li>
<li>Heat and storm patterns</li> 
<li>Light and other electromagnetic waves</li> <li>Temperature variations</li> 
<li>Ocean currents</li> 
</ul>

It is only by recording the signals generated from these activities and applying DSP algorithms that we have gained so much knowledge about our universe. For example, a 1% change in the amplitude of light coming from a faraway star can indicate the presence of a Jupiter-sized planet in its orbit. 

The world of signals encompasses almost everything in our universe. 

# The universe

Since the creation of time, everything that moves generates signals in a never-ending cycle. Some notable examples include:
<ul> 
<li>The spinning of galaxies, stars, and planets</li> 
<li>The internal chemical activities of celestial bodies</li>
<li>Heat and storm patterns</li> 
<li>Light and other electromagnetic waves</li> <li>Temperature variations</li> 
<li>Ocean currents</li> 
</ul>

It is only by recording the signals generated from these activities and applying DSP algorithms that we have gained so much knowledge about our universe. For example, a 1% change in the amplitude of light coming from a faraway star can indicate the presence of a Jupiter-sized planet in its orbit. 

Discover the big picture view by learning about the signals all around us.

Introduction to Signals

Basic Signals and Operations

Complex Signals and the Frequency Domain

Sampling a Signal

The Discrete Fourier Transform

Fourier Transform Properties

Digital Systems

Putting It All Together: An OFDM Modem

Demodulating an OFDM Signal Stream

The Last Words

Bibliography

Signals Are Everywhere

The universe