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.
(13541 times read)
Description of the most popular OFDM synchronization algorithm.
(40541 times read)
Introduction to use your soundcard as a software-defined radio
(28786 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(18272 times read)
How can you recognize a linear, a causal and a time-invariant system?
(145958 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(32354 times read)
Listen to the sound of a saxophone and describe it mathematically.
(22949 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(63291 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(76680 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(15855 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(71693 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(21515 times read)
Pictorial description of the operation of circular convolution.
(41809 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(32527 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(70319 times read)
This article explains the convolution operation with the help of animated graphs.
(74366 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(27561 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(54188 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(124225 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(93011 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(26286 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(87050 times read)
Time and frequency properties of the Dirac Comb
(66003 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(26091 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(57521 times read)
Understanding the first Nyquist criterion and its implications.
(20384 times read)
Motivation for this resource and setting up the coding environment
(27076 times read)