1. 1 Lecture 5 Post-Graduate Students Advanced Programming (Introduction to MATLAB) Code: ENG 505 Dr. Basheer M. Nasef Computers & Systems Dept. http://www.bmabdelaty.faculty.zu.edu.eg/Default.aspx

2. Assignment Write a function called int_col that has one input argument, a positive integer n that is greater than 1, and one output argument v that is a column vector of length n containing all the positive integers smaller than or equal to n, arranged in such a way that no element of the vector equals its own index. In other words, v(k) is not equal to k for any valid index k. 2

3. In the previous lectures 3  Matlab Windows (workspace, m-file,…)  Working with Arrays  Mathematical Operations with Arrays  Generating Random numbers  Using Script Files and Managing Data

4. Agenda 4  Plotting given data and functions.  Plotting multiple graphs in the same plot.  Formatting a plot.  Special plots: error bars, pie, histogram.  Plotting multiple plots in the same page.

5. Powerful Tool 5  Standard plots with linear axis.  Plots with logarithmic, semi-logarithmic axis, bar, stairs plots, three-dimensional contour surface and others.  You can control the line type (solid, dash,…), color, thickness, grid lines and text comments.  Several plots can be placed in the same page.  A legend can be added…

6. 6 Terminology

7. 7  The two vectors have the same number of elements. The plot Command

8. 8 Continuous line

9. 9 The plot Command optional arguments

10. 10 The plot Command optional arguments

11. 11 The plot Command optional arguments

12. 12  You can also control: The plot Command optional arguments

13. 13  Example: Plotting given data

14. 14  Example: Plotting given data

15. 15  To plot a function y=f(x), you have first to create a vector of values for x, then the vector of y is calculated element by element. Plotting a function

16. 16 Plotting a function Notice the small spacing between x values: 0.01.

17. 17 The fplot command

18. 18  Using Plot : Example: Plotting multiple graphs in the same Plot

19. 19  Using Plot : Example: Plotting multiple graphs in the same Plot

20. 20  Using hold on / hold off commands: Example: Plotting multiple graphs in the same Plot

21. 21  Using hold on / hold off commands: Example: Plotting multiple graphs in the same Plot

22. 22  Using hold on / hold off commands: Example modification Plotting multiple graphs in the same Plot New figure Without figure, hold off will erase the previous plots and keep only next plot.

23. 23  Using hold on / hold off commands: Example modification Plotting multiple graphs in the same Plot

24. 24 Formatting a plot

25. 25 Formatting a plot

26. 26 Formatting a plot

27. 27  Example: Formatting a plot

28. 28  Example: Formatting a plot

29. 29 Plots with error bars

30. 30 Plots with special graphs

31. 31 Plots with special graphs

32. 32  Histograms are plots that show the distribution of data.  The overall range of a given set of data points is divided into subranges (bins).  The histogram shows how many data points are in each bin.  The histogram is a vertical bar plot in which the width of each bar is equal to the range of the corresponding bin and the height Histogram

33. 33 Histogram

34. 34  You can change the number of bins: Histogram

35. 35  You can change the number of bins: Example: Histogram

36. 36  subplot command:  The command divides the Figure Window (and the page when printed) into mxn rectangular subplots.  The subplots are numbered from 1 to ( mxn ), the current plot is p. Putting multiple plots in the same page

37. 37  subplot command: Example: Putting multiple plots in the same page

38. Material & problems 38  We have covered Chapter 5 from Gilat.  Problems you can try: Sample Problem 5-2 1—5, 11, 18, 19, 31