Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 10 docx

... [Eq. (10. 37)], we can write: (10. 43) Again, using Eqs. (10. 37) and (10. 43), we have: (10. 44) Now, substituting Eq. (10. 41) in the denominator of Eq. (10. 44), we obtain Eq. (10. 42). Example 10. 10 A ... that: (10. 6) while (10. 7) and (10. 8) The last equation [Eq. (10. 8)] is the mathematical expression for the statement that the probability of the event that includes...

Ngày tải lên: 13/08/2014, 02:21

... 12.1). Top panel: b = 1, bottom panel: b = 0.9998. -2 0 -1 5 -1 0 -5 0 5 10 15 -1 5 -1 0 -5 0 5 10 15 a=0.7 b=1 -2 0 -1 5 -1 0 -5 0 5 10 15 20 -1 5 -1 0 -5 0 5 10 15 a=0.7 b=0.9998 xk axk byk xk yk bxk ayk ... above strategy: N=5; x1=1 :101 ; x=(x 1-1 ) /100 ; T(1,x1)=x; T(2,x1)=2*x.^ 2-1 ; for k=3:N T(k,x1)=2.*x.*T(k-1,x1)-T(k-2,x1);...

Ngày tải lên: 13/08/2014, 02:21

... function C l D a =     − πε 0 1 2 cosh mF F F nF F F FaFF = = = − −− −− 10 10 10 10 3 912 15 18 (milli-Farad); F = 10 (micro-Farad); (nano-Farad); pF = 10 (pico-Farad); fF = (femto-Farad); (atto-Farad); –6 µ D a b a , Take 0 ε ε =       26 ... circuit parameters. b. Holding the graph for the case R = 100 Ω, sketch L 1 and L 2 again for R = 50Ω and R = 500Ω. How...

Ngày tải lên: 13/08/2014, 02:21

... equations for D(k) and D2(k), as given respec- tively by Eqs. (4.16) and (4.30), and with the initial conditions for the function and its derivative. The first elements for the y, D, and D2 arrays ... (2*a(k)*y(k-1)/dt+a(k)D(k-1)+u(k)); D(k)=(2/dt)*(y(k)-y(k-1))-D(k-1); end plot(t,y,t,u,' ') In-Class Exercise Pb. 4.37 Plot the amplitude of y, and its dephasing from...

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... com- mand is poly. poly(r) In-Class Exercise Pb. 5.14 Find the roots of the polynomial p = [13 2103 ], and com- pute their sum and product. Pb. 5.15 Consider the two polynomials: p 1 = [13 2103 ]andp 2 ... discuss the use of the MATLAB command roots for finding all roots of a polynomial. Following this, we consider the Golden Section method and the fmin and fmins MATLAB command...

Ngày tải lên: 13/08/2014, 02:21

... frequen- cies and the sampling time: f 1 = 200 Hz; f 2 = 400 Hz; τ = 10 –5 s find f 0 and plot the gain curve as function of the normalized frequency for the bandpass prototype filter. 6 .10 MATLAB ... representing the com- plex numbers: z 1 = 1, z 2 = j, z 3 = –1. Solution: Enter and execute the following commands in the command window: z1=1; z2=j; z3 =-1 ; plot(z1,'...

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... is not unique. For example, in 4-D space, the canonical four-unit orthonormal basis vec- tors are given, respectively, by: ê 1 = [100 0] (7.15) ê 2 = [ 0100 ] (7.16) ê 3 = [0 010] (7.17) ê 4 ... CRC Press LLC (7 .107 ) Repeated applications of this formula and the use of Eq. (7.86) yields: (7 .108 ) Direct calculations show that this is also valid for l = 0 and l = 1. Therefore, t...

Ngày tải lên: 13/08/2014, 02:21

... 0;1 -1 0 -5 0 0 0;0 1 -1 0 -1 00 0; 0 1 0 0 0 -3 00;0 0 1 0 -RL 0;0 0 0 1 -1 -1 ]; Vs=[5;0;0;0;0;0]; VI=M\Vs; ilamp=VI(5); Then, from the command window, we proceed by calling this function and plotting ... V are the eigen- vectors and D is a diagonal matrix whose elements are the eigenvalues. Enter- ing the matrix M and the eigensystem commands gives: V = -0 .9...

Ngày tải lên: 13/08/2014, 02:21

... array size is (10 10) , and that the scram- bling matrix is chosen such that each row has one element equal to 1, while the others are 0, and no two rows are equal. Pb. 9.15 For the (10 10) matrix ... direc- tion as the positive x-axis and where the x-axis direction continuously coin- FIGURE 9.2 Scrambled image of Pb. 9.16. © 2001 by CRC Press LLC techniques commonly employed in the h...

Ngày tải lên: 13/08/2014, 02:21

... m-file can be used to plot the transient data: Chapter 6: SIWLINK 15 0- 100 .1; 5 4- 0- -5 0- -lw -1 50 I99 I , , 1 I - Stator current ias. [A] 200, 15 0- 100 5 0- 0- -5 0 -1 00 ... 207 Loops, 7 3-7 9 Mathematical function, 29, 30,47,48,2 1 1-2 1 2 Mathematical model, 14 1 - 1 5 1 MATLAB General, 13 MATLAB...

Ngày tải lên: 14/08/2014, 06:22