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.

(8161 times read)

Description of the most popular OFDM synchronization algorithm.

(24665 times read)

Introduction to use your soundcard as a software-defined radio

(21271 times read)

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

(12649 times read)

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

(128360 times read)

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

(21885 times read)

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

(16944 times read)

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

(49334 times read)

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

(60357 times read)

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

(10552 times read)

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

(49171 times read)

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

(15336 times read)

Pictorial description of the operation of circular convolution.

(34826 times read)

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

(21549 times read)

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

(50966 times read)

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

(63982 times read)

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

(20905 times read)

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

(44116 times read)

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

(90416 times read)

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

(68467 times read)

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

(17845 times read)

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

(63259 times read)

Time and frequency properties of the Dirac Comb

(46618 times read)

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

(18291 times read)

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

(45355 times read)

Understanding the first Nyquist criterion and its implications.

(12618 times read)

Motivation for this resource and setting up the coding environment

(20112 times read)

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