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.
(16850 times read)
Description of the most popular OFDM synchronization algorithm.
(44935 times read)
Introduction to use your soundcard as a software-defined radio
(30527 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19743 times read)
How can you recognize a linear, a causal and a time-invariant system?
(149261 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(35587 times read)
Listen to the sound of a saxophone and describe it mathematically.
(24568 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(67706 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(80311 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(17351 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(77171 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(23137 times read)
Pictorial description of the operation of circular convolution.
(43561 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(35305 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(74662 times read)
This article explains the convolution operation with the help of animated graphs.
(76418 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(29127 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(57155 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(129800 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(97870 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(28268 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(93414 times read)
Time and frequency properties of the Dirac Comb
(70888 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(28993 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(60762 times read)
Understanding the first Nyquist criterion and its implications.
(23681 times read)
Motivation for this resource and setting up the coding environment
(31121 times read)