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.
(14994 times read)
Description of the most popular OFDM synchronization algorithm.
(43552 times read)
Introduction to use your soundcard as a software-defined radio
(29900 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19214 times read)
How can you recognize a linear, a causal and a time-invariant system?
(148368 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(34951 times read)
Listen to the sound of a saxophone and describe it mathematically.
(24001 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(66654 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(79495 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(16820 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(75683 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(22559 times read)
Pictorial description of the operation of circular convolution.
(43015 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(34502 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(73576 times read)
This article explains the convolution operation with the help of animated graphs.
(75611 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(28498 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(56233 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(128424 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(96525 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(27569 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(91923 times read)
Time and frequency properties of the Dirac Comb
(69428 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(28446 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(60129 times read)
Understanding the first Nyquist criterion and its implications.
(23138 times read)
Motivation for this resource and setting up the coding environment
(28801 times read)