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.
(15843 times read)
Description of the most popular OFDM synchronization algorithm.
(44119 times read)
Introduction to use your soundcard as a software-defined radio
(30100 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19372 times read)
How can you recognize a linear, a causal and a time-invariant system?
(148612 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(35141 times read)
Listen to the sound of a saxophone and describe it mathematically.
(24173 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(66973 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(79727 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(16975 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(76195 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(22696 times read)
Pictorial description of the operation of circular convolution.
(43172 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(34721 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(73930 times read)
This article explains the convolution operation with the help of animated graphs.
(75853 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(28654 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(56505 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(128927 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(96977 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(27788 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(92464 times read)
Time and frequency properties of the Dirac Comb
(69871 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(28602 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(60316 times read)
Understanding the first Nyquist criterion and its implications.
(23333 times read)
Motivation for this resource and setting up the coding environment
(29893 times read)