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.
(16180 times read)
Description of the most popular OFDM synchronization algorithm.
(44398 times read)
Introduction to use your soundcard as a software-defined radio
(30255 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19503 times read)
How can you recognize a linear, a causal and a time-invariant system?
(148826 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(35303 times read)
Listen to the sound of a saxophone and describe it mathematically.
(24294 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(67231 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(79892 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(17112 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(76545 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(22826 times read)
Pictorial description of the operation of circular convolution.
(43326 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(34922 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(74167 times read)
This article explains the convolution operation with the help of animated graphs.
(76053 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(28776 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(56691 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(129203 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(97233 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(27908 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(92767 times read)
Time and frequency properties of the Dirac Comb
(70141 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(28720 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(60479 times read)
Understanding the first Nyquist criterion and its implications.
(23455 times read)
Motivation for this resource and setting up the coding environment
(30346 times read)