1 / 21

Net 222: Communications and networks fundamentals ( Practical Part)

Net 222: Communications and networks fundamentals ( Practical Part). Tutorial 5 : Matlab – Aljabric equations. – convolution . Lecture Contents. Solving Algebraic equations: Simple equations. Quadratic equations. Plotting Symbolic Equations. Computing derivatives. Integration.

xuxa
Télécharger la présentation

Net 222: Communications and networks fundamentals ( Practical Part)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Net 222: Communications and networks fundamentals (Practical Part) Tutorial 5 : Matlab – Aljabric equations. – convolution Networks and Communication Department

  2. Lecture Contents • Solving Algebraic equations: • Simple equations. • Quadratic equations. • Plotting Symbolic Equations. • Computing derivatives. • Integration. • Convolution. Networks and Communication Department

  3. Simple equations Networks and Communication Department

  4. Example • Solve : x+5=0 Networks and Communication Department

  5. Quadratic equations Networks and Communication Department

  6. Example • Solve : Networks and Communication Department

  7. Plotting Symbolic Equations Networks and Communication Department

  8. Example 1: Networks and Communication Department

  9. Example 2: Networks and Communication Department

  10. Computing derivatives Networks and Communication Department

  11. Example • Find the derivative for : f = sin(5*x) Networks and Communication Department

  12. Integration Networks and Communication Department

  13. Example 1: • Find the integration for x^2 : Networks and Communication Department

  14. Example 2: Networks and Communication Department

  15. Convolution Networks and Communication Department

  16. Convolution Sum The Convolution sum: The equation below defines the convolution of two sequences and denoted by: (The convolution sum or superposition sum) And the operation on the right hand side (equation in bold ) is known as the convolution of the sequence and h. It is commonly called the convolution sum. Thus, again, we have the fundamental result that the output of any discrete-time LTI system is the convolution of the input with the impulse response of the system. Networks and Communication Department

  17. Convolution Sum (Cont.) • The Figure below illustrates the definition of the impulse response h[n] and the relationship of Networks and Communication Department

  18. Example • Consider an LTI system with impulse response h[n] and input x[n]. Networks and Communication Department

  19. Networks and Communication Department

  20. x = [0.5 2 0 0 0]; h = [1 1 1 0]; y = conv(x,h); n1= 0 : (length(x)-1); subplot(2,2,1); stem(n1,x,’LineWidth’,3); xlabel(‘n’); ylabel(‘x[n]’); n2= 0 : (length(h)-1); subplot(2,2,2); stem(n2,h,’LineWidth’,3); xlabel(‘n’); ylabel(‘h[n]’); n3 = 0 : (length(y)-1); subplot(2,2,[3,4]); stem(n3,y,’LineWidth’,3); xlabel(‘n’); ylabel(‘y[n]’);

  21. The End Any Questions ? Networks and Communication Department

More Related