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.

(6961 times read)

Description of the most popular OFDM synchronization algorithm.

(20448 times read)

Introduction to use your soundcard as a software-defined radio

(18797 times read)

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

(10934 times read)

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

(121099 times read)

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

(19922 times read)

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

(14924 times read)

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

(45043 times read)

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

(56565 times read)

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

(9182 times read)

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

(43312 times read)

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

(13635 times read)

Pictorial description of the operation of circular convolution.

(32885 times read)

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

(19412 times read)

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

(44962 times read)

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

(61043 times read)

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

(19091 times read)

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

(41735 times read)

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

(76545 times read)

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

(60403 times read)

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

(15532 times read)

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

(57671 times read)

Time and frequency properties of the Dirac Comb

(40953 times read)

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

(16191 times read)

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

(40779 times read)

Understanding the first Nyquist criterion and its implications.

(10958 times read)

Motivation for this resource and setting up the coding environment

(17772 times read)

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