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

For this course, we'll discuss a simple model for a wireless channel and ignore the intricate details like fading, delay spread, Doppler spread, coherence bandwidth, and coherence time.

## Multiple paths

In guided media like optical fiber or a coaxial cable, the transmitted signal does not diverge in all three dimensions. On the other hand, a wireless channel is an unguided medium in which a sent signal traces several different paths before it arrives at the receiver through reflection, diffraction, and scattering. An example of signal paths in a wireless channel is shown in the figure below:

For this course, we'll discuss a simple model for a wireless channel and ignore the intricate details like fading, delay spread, Doppler spread, coherence bandwidth, and coherence time.

# Multiple paths

In guided media like optical fiber or a coaxial cable, the transmitted signal does not diverge in all three dimensions. On the other hand, a wireless channel is an unguided medium in which a sent signal traces several different paths before it arrives at the receiver through reflection, diffraction, and scattering. An example of signal paths in a wireless channel is shown in the figure below:

Investigate how a wireless channel affects the transmitted signal in the language of DSP operations.

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

Wireless Channel

Multiple paths