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.
(10916 times read)
Description of the most popular OFDM synchronization algorithm.
(32100 times read)
Introduction to use your soundcard as a software-defined radio
(25273 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(15968 times read)
How can you recognize a linear, a causal and a time-invariant system?
(138567 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(26406 times read)
Listen to the sound of a saxophone and describe it mathematically.
(20156 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(56094 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(68135 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(13341 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(61130 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(18495 times read)
Pictorial description of the operation of circular convolution.
(38249 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(26351 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(61654 times read)
This article explains the convolution operation with the help of animated graphs.
(69389 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(24557 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(48516 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(108637 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(82236 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(21982 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(74757 times read)
Time and frequency properties of the Dirac Comb
(55931 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(22324 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(51214 times read)
Understanding the first Nyquist criterion and its implications.
(15990 times read)
Motivation for this resource and setting up the coding environment
(23857 times read)