# Supplementary videos#

## Chapter 1: Introduction to Systems and Signals#

Learn more about the systems approach.

Learn more about the LIDAR example.

An example: speech synthesis from neural decoding of spoken sentences.

Noise reduction on “O’sole mio”.

Learn more about the symmetric decorations of the Alhambra Palace.

Learn more about the symmetric art of Escher.

Learn more about the mathematics of symmetry.

## Chapter 2: Basic Building Blocks of Signals#

Learn more about the Euler formula, which explains complex exponential as rotation.

Visualization of continuous time complex exponential.

Learn more about the fundamental frequency and its harmonics in music.

## Chapter 3: Basic Building Blocks and Properties of Systems#

## Chapter 4: Representation of Linear Time Invariant Systems by Impulse Response and Convolution Operation#

Learn more about the impulse response and the acoustics of instruments.

## Chapter 5: Representation of LTI Systems by Differential and Difference Equations#

## Chapter 6: Fourier Series Representation of Continuous Time Periodic Signals#

Learn more about the life of J. B. Fourier.

Learn more about the Fourier series.

## Chapter 7: Fourier Series Representation of Discrete Time Periodic Signals#

Learn more about the Fourier series and the frequency spectrum.

## Chapter 8: Continuous Time Fourier Transform and Its Extension to Laplace Transform#

A visual introduction to Fourier Transform.

## Chapter 9: Discrete Time Fourier Transform and Its Extension to z-Transforms#

## Chapter 10: Linear Time Invariant Systems as Filters#

Learn more about the effect of different types of filters on music signals.

## Chapter 11: Continuous Time Sampling#

## Chapter 12: Discrete Time Sampling and Processing#

Learn more about Claude Shannon, a hero of the digital revolution.