Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 5 potx

... we desire that: (5. 25) (5. 26) (5. 27) Now, replacing the values of a(2) and b(2) from Eqs. (5. 26) and (5. 27) into Eq. (5. 25) , we are led to a second-degree equation in r: r 2 – 3r + 1 = 0 (5. 28) The ... com- mand is poly. poly(r) In-Class Exercise Pb. 5. 14 Find the roots of the polynomial p = [132103], and com- pute their sum and product. Pb. 5. 15 Consider the two po...

Ngày tải lên: 13/08/2014, 02:21

... 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 xk () ... Press LLC x1(1)=0 .56 96;y1(1)=0.1622; x2(1)=0 .56 50;y2(1)=0.1 650 ; for n=1:120 x1(n+1)=a*x1(n)-b*(y1(n )-( x1(n))^2...

Ngày tải lên: 13/08/2014, 02:21

... circuit parameters. b. Holding the graph for the case R = 100Ω, sketch L 1 and L 2 again for R = 50 Ω and R = 50 0Ω. How do the values of the voltage and the current change as R increases; and decreases? c. Determine ... while that of oil, polystyrene, glass, quartz, bakelite, and mica are, respectively, 2.1, 2.6, 4 .5 10, 3.8 5, 5, and 5. 4-6 larger.) In-Class Exercis...

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... 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 ... Phase') uc=exp(j*(2*pi*fc*t+2*pi*kf*intm)); u=real(uc); phase=unwrap(angle(uc) )-2 *pi*fc*t; subplot(2,2,3) plot(t,u) axis( [-0 . 15 0. 15 -1 1]) title('Modulat...

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... maximum directivity? Pb. 6 .50 The following program simulates a 2 5- element array-swept radar beam. th=0:0.01:pi; t =-0 .5* sqrt(3):0. 05* sqrt(3):0 .5* sqrt(3); N= 25; M=moviein(21); for m=1:21; I=(1/N^2)*(sin(N*((pi/4)*cos(th)+(pi/4)*t(m))) ... following script M-file. N=720; z=exp(j*2*pi*[1:N]./N); plot(z) axis square In-Class Exercises Pb. 6.20 Using the exponential form of the n-...

Ngày tải lên: 13/08/2014, 02:21

... CRC Press LLC (7.94) and (7. 95) Adding Eqs. (7.94) and (7. 95) , we obtain the more symmetric formula: (7.96) Replacing l by l – 1 in Eq. (7.94) and eliminating from Eq. (7. 95) , we find that: (7.97) Differentiating ... element in the defining n-tuplet representation. For example, consider the vector = [ 153 7] in real 4-D. We say that its first, second, third, and fourth components...

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... 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...

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... Press LLC 2. (9. 15) 3. (9.16) and the final result can be written as: (9.17) We can implement the above sequence of transformations through the fol- lowing script M-file: plot ( -5 ,5, '*') hold ... LLC plot ( -5 ,5, '*') hold on G=[2 6 5 3 2; 1 1 3 3 1;1 1 1 1 1]; plot(G(1,:),G(2,:),'b') T=[1 0 5; 0 1 -5 ;0 0 1]; G1=T*G; plot(G1(1,:),G1(2,:), 'r&ap...

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... 0: In-Class Exercises Pb. 10.13 Show that when two events A and B are independent, the addi- tion law for probability becomes: POH PZH POH PZH () () () () 11 00 3 5 2 5 1 3 2 3 == == and and PO ... = − p = 1 6 PCpq( ! !! .2 5 23 1 6 5 6 0 160 75 2 52 5 23 successes in 5 trials) = =         = PCpq( ! !! .3 successes in 10 trials) = 3 10 3 7 37 10 37 1 36 35 36 0 00...

Ngày tải lên: 13/08/2014, 02:21