Signals and Systems - Electrical Engineering

24 C H A P T E R 0: From the Ground Up! The relation between the complex exponentials and the sinusoidal functions is of great i ...

0.4 Complex or Real? 25 thatf 0 is the frequency in cycles/sec or in Hertz (Hz) (in honor of H. R. Hertz^8 ). Given that the uni ...

26 C H A P T E R 0: From the Ground Up! can be expressed as i(t)=Ccos( 0 t+γ) whereCandγare to be determined (the sinusoidal co ...

0.4 Complex or Real? 27 10 20 30 30 210 60 240 90 270 120 300 150 330 (^1800) Phasor 1+Phasor 2 (a) 10 20 30 30 210 60 240 90 27 ...

28 C H A P T E R 0: From the Ground Up! Assume that the steady-state response of this circuit (i.e.,vc(t)ast→∞) is also a sinuso ...

0.5 Soft Introduction to MATLAB 29 in the differential equation, we obtain Re [ Vc( 1 +j 0 )ej^0 t ] =Re [ Aej^0 t ] so that ...

30 C H A P T E R 0: From the Ground Up! 0.5.1 Numerical Computations The following instructions are intended for users who have ...

0.5 Soft Introduction to MATLAB 31 y = 1 2 3 4 To see the dimension ofxandyvariables, type whos % provides information on existi ...

32 C H A P T E R 0: From the Ground Up! giving as expected the first to the third entries of the column vectory: ans = 1 2 3 The ...

0.5 Soft Introduction to MATLAB 33 to get nn1 = Columns 1 through 10 0 1 2 3 4 5 6 7 8 9 Columns 11 through 17 10 0 2 4 6 8 10 V ...

34 C H A P T E R 0: From the Ground Up! The results of these operations are not given because of the semicolons at the end of th ...

0.5 Soft Introduction to MATLAB 35 x1 = Columns 1 through 10 1 1 1 1 1 1 1 1 1 1 Columns 11 through 15 0 0 0 0 0 A(2:5, 2:5) = z ...

36 C H A P T E R 0: From the Ground Up! % let’s hear it sound(1000∗x, 10000) The results are given in Figure 0.14. To learn abou ...

0.5 Soft Introduction to MATLAB 37 0 0.2 0.4 0.6 0.8 − 1 −0.5 0 0.5 1 t(sec) y( t) 0 0.2 0.4 0.6 0.8 − 1 −0.5 0 0.5 1 t(sec) y( ...

38 C H A P T E R 0: From the Ground Up! A function is created using the word “function” and then defining the output (y), the na ...

0.5 Soft Introduction to MATLAB 39 The function working on a vector x, rather than one value, takes the following form (to make ...

40 C H A P T E R 0: From the Ground Up! FIGURE 0.17 Results of using the function ff(.) (notice the difference in scale in the x ...

0.5 Soft Introduction to MATLAB 41 FIGURE 0.18 Plotting four figures in one. 0 50 100 0 0.5 1 0 50 100 0 1 2 3 0 50 100 0 0.5 1 ...

42 C H A P T E R 0: From the Ground Up! where we usewhosto check its size: Name Size Bytes Class xy 121x2 1936 double array Gran ...

0.5 Soft Introduction to MATLAB 43 FIGURE 0.20 Clown in gray scale. n m 50 100 150 200 250 300 20 40 60 80 100 120 140 160 180 2 ...