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.
(14842 times read)
Description of the most popular OFDM synchronization algorithm.
(43472 times read)
Introduction to use your soundcard as a software-defined radio
(29865 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19184 times read)
How can you recognize a linear, a causal and a time-invariant system?
(148344 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(34928 times read)
Listen to the sound of a saxophone and describe it mathematically.
(23980 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(66619 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(79469 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(16800 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(75613 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(22546 times read)
Pictorial description of the operation of circular convolution.
(42984 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(34477 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(73536 times read)
This article explains the convolution operation with the help of animated graphs.
(75579 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(28479 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(56208 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(128359 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(96481 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(27549 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(91862 times read)
Time and frequency properties of the Dirac Comb
(69389 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(28421 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(60107 times read)
Understanding the first Nyquist criterion and its implications.
(23113 times read)
Motivation for this resource and setting up the coding environment
(28613 times read)