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.
(13058 times read)
Description of the most popular OFDM synchronization algorithm.
(38612 times read)
Introduction to use your soundcard as a software-defined radio
(28181 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(17859 times read)
How can you recognize a linear, a causal and a time-invariant system?
(144811 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(30905 times read)
Listen to the sound of a saxophone and describe it mathematically.
(22404 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(61831 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(74951 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(15381 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(69655 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(20865 times read)
Pictorial description of the operation of circular convolution.
(40945 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(31396 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(68563 times read)
This article explains the convolution operation with the help of animated graphs.
(73564 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(27097 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(53210 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(121915 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(91376 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(25549 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(84387 times read)
Time and frequency properties of the Dirac Comb
(63855 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(25228 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(56111 times read)
Understanding the first Nyquist criterion and its implications.
(19503 times read)
Motivation for this resource and setting up the coding environment
(26361 times read)