### Signals and Systems

This page is under construction. For now, you can find all of the signals and systems videos at https://sites.google.com/a/asu.edu/signals-and-systems/

## Fourier Analysis

### Fourier Series

• Fourier Series Example-Square Wave Computing the complex exponential Fourier series coefficients for a square wave.
• Fourier Series Example-Arbitrary Square Wave Computes the Fourier series coefficients of a square wave with arbitrary period T, amplitude A, and duty cycle D.
• Fourier Series-Rectified Sine Wave Computes the Fourier series coefficients of a rectified sine wave; the computation is done entirely using Fourier series properties and Fourier series coefficients computed in previous videos. The DTFS properties used include  multiplication, time shifting, linearity, and frequency shifting.

### Discrete-time Fourier Series

• Introduction to DT Fourier Series Introduces the discrete-time Fourier Series (closely related to the DFT) and shows how to find the Fourier series coefficients of sampled cosine and sine waveforms.
• DT Fourier Series-Simple Example Computes the discrete-time Fourier series coefficients of a waveform with period N=8.
• DT Fourier Series-Periodic Square Wave Computes the discrete-time Fourier series coefficients of a square wave with period N and pulse width Np samples; the duty cycle is Np/N.
• DT Fourier Series-Rectified Sine Wave Computes the discrete-time Fourier series coefficients of a rectified sine wave; the computation is done entirely using DTFS properties and Fourier series coefficients computed in previous videos. The DTFS properties used include  multiplication, time shifting, linearity, and frequency shifting.
• DT Fourier Series-Periodic Triangle Wave Computes the discrete-time Fourier series coefficients of a triangle wave using the DTFS convolution property.

Subpages (51):