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.
(6025 times read)
Description of the most popular OFDM synchronization algorithm.
(17603 times read)
Introduction to use your soundcard as a software-defined radio
(16750 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(9686 times read)
How can you recognize a linear, a causal and a time-invariant system?
(114108 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(18340 times read)
Listen to the sound of a saxophone and describe it mathematically.
(13347 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(41353 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(53236 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(8066 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(38550 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(12311 times read)
Pictorial description of the operation of circular convolution.
(31263 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(17442 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(39890 times read)
This article explains the convolution operation with the help of animated graphs.
(58102 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(17395 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(39242 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(65276 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(54109 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(13737 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(52282 times read)
Time and frequency properties of the Dirac Comb
(36301 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(14326 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(36818 times read)
Understanding the first Nyquist criterion and its implications.
(9638 times read)
Motivation for this resource and setting up the coding environment
(15774 times read)