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.

(8921 times read)

Description of the most popular OFDM synchronization algorithm.

(3706 times read)

Introduction to use your soundcard as a software-defined radio

(4639 times read)

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

(3304 times read)

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

(19895 times read)

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

(4890 times read)

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

(4275 times read)

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

(10036 times read)

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

(12334 times read)

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

(2173 times read)

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

(11385 times read)

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

(3401 times read)

Pictorial description of the operation of circular convolution.

(13284 times read)

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

(3826 times read)

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

(7891 times read)

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

(10891 times read)

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

(3684 times read)

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

(7490 times read)

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

(3334 times read)

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

(14808 times read)

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

(3264 times read)

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

(8081 times read)

Time and frequency properties of the Dirac Comb

(8736 times read)

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

(3240 times read)

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

(2927 times read)

Understanding the first Nyquist criterion and its implications.

(2698 times read)

Motivation for this resource and setting up the coding environment

(5977 times read)

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