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.
(14605 times read)
Description of the most popular OFDM synchronization algorithm.
(43106 times read)
Introduction to use your soundcard as a software-defined radio
(29686 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19043 times read)
How can you recognize a linear, a causal and a time-invariant system?
(148133 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(34781 times read)
Listen to the sound of a saxophone and describe it mathematically.
(23856 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(66383 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(79248 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(16689 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(75329 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(22458 times read)
Pictorial description of the operation of circular convolution.
(42900 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(34330 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(73341 times read)
This article explains the convolution operation with the help of animated graphs.
(75443 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(28386 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(56022 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(128049 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(96251 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(27455 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(91600 times read)
Time and frequency properties of the Dirac Comb
(69189 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(28312 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(59993 times read)
Understanding the first Nyquist criterion and its implications.
(22993 times read)
Motivation for this resource and setting up the coding environment
(28286 times read)