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.

(4032 times read)

Description of the most popular OFDM synchronization algorithm.

(10664 times read)

Introduction to use your soundcard as a software-defined radio

(11270 times read)

Explaining OFDM from the continuous-time standpoint, without FFT/IFFT.

(6754 times read)

How can you recognize a linear, a causal and a time-invariant system?

(81206 times read)

The three different representations of the Fourier Series and how they lead to the Fourier Transform.

(14304 times read)

Listen to the sound of a saxophone and describe it mathematically.

(9291 times read)

Fundamental Fourier: Expansion of periodic functions into sums of sines and cosines.

(29933 times read)

Illustrations on the Convolution Theorem and how it can be practically applied.

(41947 times read)

Explanation on the causes of multipath propagation and illustrating their effects on audio samples.

(5477 times read)

Explanation on why the cyclic prefix (CP) is used in an OFDM system.

(26543 times read)

We illustrate the effect of quantization noise in terms of audio samples.

(8351 times read)

Pictorial description of the operation of circular convolution.

(26187 times read)

What does a quantizer do, what is quantization noise and how do we calculate it?

(11922 times read)

Complete walkthrough of a digital transmission chain including AD/DA conversion and up/downconversion

(26176 times read)

This article explains the convolution operation with the help of animated graphs.

(44662 times read)

Explanation of Aliasing, how it sounds and what the anti-Aliasing filter does.

(12124 times read)

Explanation of the terms group delay and phase delay with an example of a bandpass RLC filter.

(28935 times read)

Explanation why dB conversion sometimes uses factor 10 and sometimes factor 20.

(29843 times read)

Illustration of a basic OFDM example including channel estimation for OFDM.

(36289 times read)

How to create an eye diagram and check for the first and second Nyquist criterion.

(8865 times read)

We derive and illustrate the special properties of the DFT due to its discrete nature including an audio example.

(34859 times read)

Time and frequency properties of the Dirac Comb

(24240 times read)

Understand, how the continuous-time Fourier Transform and discrete Fourier Transform are related

(9676 times read)

Linearity, Time-shift and Modulation property of the Fourier Transform

(22835 times read)

Understanding the first Nyquist criterion and its implications.

(6662 times read)

Motivation for this resource and setting up the coding environment

(11256 times read)

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