Signals-and-Systems-Experiment

Overview

A NTOU-EE Course. According to the course progress, use MATLAB to practice some programs relating to the knowledge of signals and system, including convolution, fourier transform and sampling theorem.

Mind map

Course Content

• Signal and systems
• Linear time-invariant systems
• Fourier series representation of periodic signals
• The continuous-time fourier transform
• The discrete-time fourier transform
• Time and frequency characterization of signals and systems
• Sampling
• The laplace transform

Classwork 01 :

• Goal :
  Practice the fundamental syntax of MATLAB and the discrete form of plotting.

• Result :
  

Classwork 02 :

• Goal :
  Grasp the concept of independent variable transformation.

• Result :
  

Classwork 03 :

• Goal :
  Grasp the concept of convolution.

• Result :
  

Classwork 04 :

• Goal :
  Concept of linear time invariant(LTI) systems and the usage of lsim function.

• Result :
  

Classwork 05 :

• Goal :
  Computing the discrete time fourier series with fft.

• Result :
  

Classwork 06 :

• Goal :
  lsim with system function and the usage of freqz function.

• Result :
  

Classwork 07 :

• Goal :
  Practice the freqs function and grasp the concept of the continuous time fourier transform(CTFT).

• Result :
  

Classwork 08 :

• Goal :
  Use fft to compute CTFT.

• Result :
  

Classwork 09 :

• Goal :
  Use fft and fftshift to compute discrete time fourier transform(DTFT).

• Result :
  

Classwork 10 :

• Goal :
  Practice the process of sampling.

• Result :
  

Classwork 11 :

• Goal :
  The production and analysis of audio signal.

• Result :
  

Classwork 12 :

• Goal :
  Sampling and aliasing. Use MATLAB to generate a tone.

• Result :
  

Classwork 13 :

• Goal :
  Encoding and decoding touch-tone signals.

• Result :
  The youtube link of touch tone signals.