Digital signal processing, foundations of communications engineering and physical layer communication techniques.

Illustrative explanation instead of boring math

Python code for all examples

Get the code and play around on your own

Refer to an introduction for a site overview and how to setup the coding environment.

Description of the most popular OFDM synchronization algorithm.

(396 times read)

Introduction to use your soundcard as a software-defined radio

(1391 times read)

Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.

(1666 times read)

How can you recognize a linear, a causal and a time-invariant system?

(3247 times read)

The three different representations of the Fourier Series and how they lead to the Fourier Transform.

(1012 times read)

Listen to the sound of a saxophone and describe it mathematically.

(2048 times read)

Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.

(2117 times read)

Illustrations on the Convolution Theorem and how it can be practically applied.

(3781 times read)

Explanation on the causes of multipath propagation and illustrating their effects on audio samples.

(750 times read)

Explanation on why the cyclic prefix (CP) is used in an OFDM system.

(3597 times read)

We illustrate the effect of quantization noise in terms of audio samples.

(1191 times read)

Pictorial description of the operation of circular convolution.

(5802 times read)

What does a quantizer do, what is quantization noise and how do we calculate it?

(665 times read)

Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion

(1425 times read)

This article explains the convolution operation with the help of animated graphs.

(1937 times read)

Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.

(863 times read)

Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.

(2305 times read)

Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.

(667 times read)

Illustration of a basic OFDM example including channel estimation for OFDM.

(4590 times read)

How to create an eye diagram and check for the first and second Nyquist criterion.

(972 times read)

We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.

(2074 times read)

Time and frequency properties of the Dirac Comb

(2193 times read)

Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related

(881 times read)

Linearity, Time-shift and Modulation property of the Fourier Transform

(480 times read)

Understanding the first Nyquist criterion and its implications.

(806 times read)

Motivation for this resource and setting up the coding environment

(1871 times read)

DSPIllustrations.com is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to amazon.com, amazon.de, amazon.co.uk, amazon.it.