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.
(14230 times read)
Description of the most popular OFDM synchronization algorithm.
(41950 times read)
Introduction to use your soundcard as a software-defined radio
(29278 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(18763 times read)
How can you recognize a linear, a causal and a time-invariant system?
(147176 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(33685 times read)
Listen to the sound of a saxophone and describe it mathematically.
(23484 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(64851 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(78112 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(16338 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(73568 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(22092 times read)
Pictorial description of the operation of circular convolution.
(42554 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(33619 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(71871 times read)
This article explains the convolution operation with the help of animated graphs.
(74965 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(28070 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(55109 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(126249 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(94405 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(26960 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(89659 times read)
Time and frequency properties of the Dirac Comb
(67782 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(27356 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(58852 times read)
Understanding the first Nyquist criterion and its implications.
(21185 times read)
Motivation for this resource and setting up the coding environment
(27763 times read)