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.
(4864 times read)
Description of the most popular OFDM synchronization algorithm.
(13677 times read)
Introduction to use your soundcard as a software-defined radio
(13841 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(8136 times read)
How can you recognize a linear, a causal and a time-invariant system?
(97217 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(16091 times read)
Listen to the sound of a saxophone and describe it mathematically.
(10917 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(35065 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(47785 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(6580 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(31594 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(10173 times read)
Pictorial description of the operation of circular convolution.
(28780 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(14155 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(32542 times read)
This article explains the convolution operation with the help of animated graphs.
(51513 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(14648 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(33942 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(45260 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(44185 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(10936 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(43397 times read)
Time and frequency properties of the Dirac Comb
(29531 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(11936 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(29627 times read)
Understanding the first Nyquist criterion and its implications.
(8012 times read)
Motivation for this resource and setting up the coding environment
(13217 times read)