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.

(3774 times read)

Description of the most popular OFDM synchronization algorithm.

(9884 times read)

Introduction to use your soundcard as a software-defined radio

(10516 times read)

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

(6389 times read)

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

(73409 times read)

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

(13618 times read)

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

(8793 times read)

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

(28216 times read)

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

(39481 times read)

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

(5129 times read)

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

(25181 times read)

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

(7836 times read)

Pictorial description of the operation of circular convolution.

(25238 times read)

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

(11172 times read)

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

(24329 times read)

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

(41682 times read)

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

(11364 times read)

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

(27398 times read)

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

(25968 times read)

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

(34144 times read)

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

(8336 times read)

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

(31988 times read)

Time and frequency properties of the Dirac Comb

(22722 times read)

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

(8974 times read)

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

(20528 times read)

Understanding the first Nyquist criterion and its implications.

(6291 times read)

Motivation for this resource and setting up the coding environment

(10700 times read)

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