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

None of the signals generated in nature or by humans exist in isolation. In reality, they are processed by systems that take an input to produce an output.

## System examples

A **system** is a phenomenon, device, or algorithm that acts on an input signal to generate an output signal. Let's discuss some examples below.

### Natural systems

- A prism splits white light into its essential seven colors.
- From pollination to the water cycle, there are complicated interactions among organisms and nature that give rise to an intricate set of systems.
- The ozone layer filters out harmful ultraviolet light coming from the sun.

 



None of the signals generated in nature or by humans exist in isolation. In reality, they are processed by systems that take an input to produce an output.

# System examples

A **system** is a phenomenon, device, or algorithm that acts on an input signal to generate an output signal. Let's discuss some examples below.

## Natural systems

- A prism splits white light into its essential seven colors.
- From pollination to the water cycle, there are complicated interactions among organisms and nature that give rise to an intricate set of systems.
- The ozone layer filters out harmful ultraviolet light coming from the sun.

 



Learn how a system takes an input signal and generates an output signal.

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

What Is a System?

System examples

Natural systems