Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 8 pdf

... 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 .9701 -0 .89 44 -0 .2425 -0 .4472D =1 00 ... LLCfunction ilamp=circuit872(RL)M=[1 0 0 0 0 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 ... interest in electrical engineering. 8. 7.1 dc Circuit AnalysisExample 8. 6Find the voltages and currents for the circuit given in Figure 8. 1.Solution: Using Kirchoff’s current and voltage laws and Ohm’s...

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 2 pot

... panel: b= 1, bottom panel: b = 0.99 98. -2 0 -1 5 -1 0 -5 0 5 10 15 -1 5 -1 0 -5 051015a=0.7 b=1 -2 0 -1 5 -1 0 -5 0 5 10 15 20 -1 5 -1 0 -5 051015a=0.7 b=0.99 98 xk axk byk xkyk bxk ayk xk() ()(()(()))() ... LLC for n=1:1500 for m=1:40x(1,m) =-0 .99+2*rx(m);y(1,m) =-0 .99+2*ry(m);x(n+1,m)=a*x(n,m)-b*(y(n,m )-( x(n,m))^2);y(n+1,m)=b*x(n,m)+a*(y(n,m )-( x(n,m))^2);endendplot(x,y,'r.')axis( [-1 ... 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:NT(k,x1)=2.*x.*T(k-1,x1)-T(k-2,x1);endy=T(N,x1);plot(x,y)© 2001 by CRC Press LLCIn-Class ExercisePb. 2 .8 Find the particular...

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 3 docx

... Mouse-controlling command to read off coordinates of apoint in a graph.global Allows variables to share their values in multiple programs.zoom Zooms in and out on a 2-D plot. 0 -8 49 3-? ?? ?-? /00/$0.00+$.50© ... 48 1 1 50 for forelsewhere© 2001 by CRC Press LLCIn-Class ExercisePb. 3.19 In a measurement of two power values, P1 and P2, it was deter-mined that:G1 = 9 dB and G2 = –11 dB Using ... different chapter sections.3.1 Function FilesTo analyze and graph functions using MATLAB, we have to be able to con-struct functions that can be called from within the MATLAB environment. In MATLAB, ...

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 4 docx

... 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);endplot(t,y,t,u,' ')In-Class ExercisePb. 4.37 Plot the amplitude of y, and its dephasing from u, as a function ofa for large t.Example 4.9Find the ﬁrst-order ... LLCdt=(tfin-tin)/(N-1);u=sin(t);a=(1/(2*pi))*ones(1,N);b=ones(1,N);y(1)=0;D(1)=(1/a(1))*(u(1)-b(1)*y(1)); for k=2:Ny(k)=((2*a(k)/dt+b(k))^ (-1 ))* (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);endplot(t,y,t,u,'...

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

... creating a ﬁle for the negative of this function (call it n-funname) and entering the following commands in the command window:xmax=fmin('n-funname',xi,xf)fmax =-1 *feval('n-funname',xmax)Homework ... discuss theuse 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 commands for optimizing (ﬁnding ... LLCnot be found analytically. MATLAB has a built-in command that ﬁnds all theroots (real and complex) for any polynomial equation. As previously noted,the MATLAB command for ﬁnding the polynomial...

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 6 pdf

... to (4.27) and Eqs. (6 .80 ) to (6 .82 ), we can deduce that the pha-sors representing the voltages across resistors, inductors, and capacitors canbe written as follows:(6 .83 )(6 .84 )(6 .85 )The terms ... Press LLC and where(6. 68) Preparatory ExercisePb. 6.35 Write the analytical expression for Atot. and φtot. in Eq. (6. 68) as func-tions of the amplitudes and phases of signals 1 and 2.The ... and the capacitor impedances,respectively.6 .8. 1 RLC Circuit Phasor AnalysisLet us revisit this problem ﬁrst discussed in Section 4.7. Using Kirchoff’s volt-age law and Eqs. (6 .83 ) to (6 .85 ),...

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 7 pot

... that is non-zero and suchthat the location of this non-zero element is different for each of these basisvectors. This basis is not unique. For example, in 4-D space, the canonical four-unit orthonormal ... LLC(7.107)Repeated applications of this formula and the use of Eq. (7 .86 )yields:(7.1 08) Direct calculations show that this is also valid for l = 0 and l = 1.Therefore, the orthonormal basis functions ... of these vectors, and the volume of the parallelepi-ped formed by the three vectors.Solution: Type, execute, and interpret at each step, each of the following com-mands, using the above deﬁnitions:u=[2...

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 9 ppt

... transformations, in 2-D, arerespectively:(9 .8) (9.9)In-Class ExercisesPb. 9.12 Find the transformation matrix for simultaneously compressingthe x-coordinate by a factor of 2, while expanding ... manipulation of digi-tal images.Let us explore and observe the structure of a matrix subjected to the above elementary trasformations. For this purpose, execute and observe the out-puts from each ... direc-tion as the positive x-axis and where the x-axis direction continuously coin-FIGURE 9.2Scrambled image of Pb. 9.16.© 2001 by CRC Press LLCtechniques commonly employed in the handling and...

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

... that:(10.6)while(10.7) and (10 .8) The last equation [Eq. (10 .8) ] is the mathematical expression for the statementthat the probability of the event that includes all possible elementary out-comes is 1 ... that:(S.16) Using the above deﬁnitions for the sine and cosine functions and elementary geometry, it is easy to note the following properties for the trigonometricfunctions:(S.17)(S. 18) px ax ... systems. The random arrival time of certain inputs to asystem cannot be predetermined; for example, the log-on and thelog-off times of terminals and workstations connected to a com-puter network,...

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