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.
(12374 times read)
Description of the most popular OFDM synchronization algorithm.
(36891 times read)
Introduction to use your soundcard as a software-defined radio
(27375 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(17340 times read)
How can you recognize a linear, a causal and a time-invariant system?
(143478 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(29597 times read)
Listen to the sound of a saxophone and describe it mathematically.
(21896 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(60415 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(73044 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(14825 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(67661 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(20108 times read)
Pictorial description of the operation of circular convolution.
(40158 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(30349 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(66852 times read)
This article explains the convolution operation with the help of animated graphs.
(72481 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(26501 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(52096 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(118961 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(89122 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(24674 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(81888 times read)
Time and frequency properties of the Dirac Comb
(61838 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(24587 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(54931 times read)
Understanding the first Nyquist criterion and its implications.
(18579 times read)
Motivation for this resource and setting up the coding environment
(25628 times read)