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.

(8556 times read)

Description of the most popular OFDM synchronization algorithm.

(2426 times read)

Introduction to use your soundcard as a software-defined radio

(3466 times read)

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

(2755 times read)

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

(13384 times read)

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

(3339 times read)

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

(3431 times read)

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

(7296 times read)

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

(9343 times read)

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

(1668 times read)

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

(8834 times read)

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

(2769 times read)

Pictorial description of the operation of circular convolution.

(10536 times read)

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

(2689 times read)

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

(5320 times read)

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

(7222 times read)

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

(2640 times read)

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

(5688 times read)

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

(2260 times read)

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

(11224 times read)

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

(2518 times read)

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

(5540 times read)

Time and frequency properties of the Dirac Comb

(6804 times read)

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

(2360 times read)

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

(1566 times read)

Understanding the first Nyquist criterion and its implications.

(2032 times read)

Motivation for this resource and setting up the coding environment

(4969 times read)

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