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.
(14822 times read)
Description of the most popular OFDM synchronization algorithm.
(43425 times read)
Introduction to use your soundcard as a software-defined radio
(29843 times read)
Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.
(19175 times read)
How can you recognize a linear, a causal and a time-invariant system?
(148293 times read)
The three different representations of the Fourier Series and how they lead to the Fourier Transform.
(34909 times read)
Listen to the sound of a saxophone and describe it mathematically.
(23966 times read)
Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.
(66563 times read)
Illustrations on the Convolution Theorem and how it can be practically applied.
(79443 times read)
Explanation on the causes of multipath propagation and illustrating their effects on audio samples.
(16781 times read)
Explanation on why the cyclic prefix (CP) is used in an OFDM system.
(75579 times read)
We illustrate the effect of quantization noise in terms of audio samples.
(22532 times read)
Pictorial description of the operation of circular convolution.
(42975 times read)
What does a quantizer do, what is quantization noise and how do we calculate it?
(34442 times read)
Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion
(73502 times read)
This article explains the convolution operation with the help of animated graphs.
(75561 times read)
Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.
(28462 times read)
Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.
(56179 times read)
Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.
(128303 times read)
Illustration of a basic OFDM example including channel estimation for OFDM.
(96447 times read)
How to create an eye diagram and check for the first and second Nyquist criterion.
(27534 times read)
We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.
(91817 times read)
Time and frequency properties of the Dirac Comb
(69348 times read)
Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related
(28401 times read)
Linearity, Time-shift and Modulation property of the Fourier Transform
(60093 times read)
Understanding the first Nyquist criterion and its implications.
(23092 times read)
Motivation for this resource and setting up the coding environment
(28585 times read)