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.

(8226 times read)

Description of the most popular OFDM synchronization algorithm.

(1450 times read)

Introduction to use your soundcard as a software-defined radio

(2497 times read)

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

(2340 times read)

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

(8133 times read)

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

(1997 times read)

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

(2776 times read)

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

(4570 times read)

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

(6952 times read)

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

(1302 times read)

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

(6522 times read)

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

(2043 times read)

Pictorial description of the operation of circular convolution.

(8638 times read)

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

(1711 times read)

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

(3510 times read)

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

(4249 times read)

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

(1731 times read)

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

(4173 times read)

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

(1466 times read)

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

(8657 times read)

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

(1867 times read)

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

(3902 times read)

Time and frequency properties of the Dirac Comb

(4785 times read)

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

(1648 times read)

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

(980 times read)

Understanding the first Nyquist criterion and its implications.

(1487 times read)

Motivation for this resource and setting up the coding environment

(4215 times read)

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