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.
(16897 times read)
Description of the most popular OFDM synchronization algorithm.
(44988 times read)
Introduction to use your soundcard as a software-defined radio
(30570 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19773 times read)
How can you recognize a linear, a causal and a time-invariant system?
(149312 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(35628 times read)
Listen to the sound of a saxophone and describe it mathematically.
(24607 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(67762 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(80359 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(17387 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(77258 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(23169 times read)
Pictorial description of the operation of circular convolution.
(43600 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(35334 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(74722 times read)
This article explains the convolution operation with the help of animated graphs.
(76468 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(29170 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(57187 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(129865 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(97930 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(28295 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(93512 times read)
Time and frequency properties of the Dirac Comb
(70924 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(29025 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(60805 times read)
Understanding the first Nyquist criterion and its implications.
(23711 times read)
Motivation for this resource and setting up the coding environment
(31172 times read)