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.
Numerical calculations and sound samples about prime numbers and Riemann's prime-generating function.
(12939 times read)
Description of the most popular OFDM synchronization algorithm.
(38209 times read)
Introduction to use your soundcard as a software-defined radio
(28030 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(17736 times read)
How can you recognize a linear, a causal and a time-invariant system?
(144495 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(30563 times read)
Listen to the sound of a saxophone and describe it mathematically.
(22275 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(61411 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(74568 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(15235 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(69172 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(20663 times read)
Pictorial description of the operation of circular convolution.
(40741 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(31143 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(68110 times read)
This article explains the convolution operation with the help of animated graphs.
(73285 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(26950 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(52912 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(121088 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(90829 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(25360 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(83715 times read)
Time and frequency properties of the Dirac Comb
(63371 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(25062 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(55806 times read)
Understanding the first Nyquist criterion and its implications.
(19284 times read)
Motivation for this resource and setting up the coding environment
(26180 times read)