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

A real sinusoid comprises how many complex sinusoids?

A real sinusoid comprises how many complex sinusoids?

(True or False) Multiplication of complex numbers is similar to that of vectors.

(True or False) Multiplication of complex numbers is similar to that of vectors.

For signs of inphase and quadrature components

For the zero denominator and negative numerator

What is a four-quadrant inverse tangent operation determining the phase of a complex number required for?

What is a four-quadrant inverse tangent operation determining the phase of a complex number required for?

Multiplication of two complex numbers has a quadrature part that is given by which of the following?

Multiplication of two complex numbers has a quadrature part that is given by which of the following?

It's a natural construct of physical laws.

The power $0.5$ lies between $0$ and $1$.

A square-root operation is important for defining the equation of a circle.

In the definition of $j$, what is the significance of $0.5$ power of $-1$?

In the definition of <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>j</mi></mrow><annotation encoding="application/x-tex">j</annotation></semantics></math>j, what is the significance of <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>0.5</mn></mrow><annotation encoding="application/x-tex">0.5</annotation></semantics></math>0.5 power of <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>−</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">-1</annotation></semantics></math>−1?

Complex signals

Complex signals

Take the second quiz to test your concepts about complex signals and the frequency domain.

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

Quiz 1