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

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

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

... different transformations thus far dis-cussed are now multiplicative and take the following forms: (9. 19) (9. 20) (9. 21) (9. 22) (9. 23) (9. 24)The composite matrix of any two transformations can ... 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 ... 1ttxy© 2001 by CRC Press LLC (9. 32) (9. 33) (9. 34)Dividing Eqs. (9. 32) and (9. 33) by Eq. (9. 34), we obtain: (9. 35) (9. 36)From this we can deduce the magnitude and direction of the velocity of...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 2 pot

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 98xk axk byk xkyk bxk ayk xk() ... and of the starting point. You can start with:abb xy12 11048 1 093 4 0025 1 099 3 001 1 099 3 00 5 1 0 99 98 3 00 99 1 0 99 98 0 12(, ) (,) (,) (,) (,) (,)−−© 2001 by CRC Press LLCPb. ... 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 ...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 3 docx

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

... 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 the ... 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© ... that, for arbi-trary a, the product of the roots is and their sum is In-Class ExercisesPb. 3.11 Develop a function M-file that inputs the two real roots of a second-degree equation and returns...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 4 docx

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 .9 Find 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,'...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 5 potx

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

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

... Different Elementary Numerical Integrating MethodsNumber of Sampling Points in a Period RTRMPRS100 0 .99 97 1.0002 1.000050 0 .99 86 1.0007 1.000040 0 .99 78 1.0011 1.000030 0 .99 61 1.0020 ... representing the com-plex numbers: z1 = 1, z2 = j, z3 = –1.Solution: Enter and execute the following commands in the commandwindow:z1=1;z2=j;z3 =-1 ;plot(z1,'*')axis( [-2 2 -2 2])axis('square')hold ... signals.Example 6.8Given ten signals, the phasor of each of the form where the ampli-tude and phase for each have the functional forms writea MATLAB program to compute the resultant sum phasor.˜˜˜...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 7 pot

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

... 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 ... find that:(7 .97 )Differentiating Eq. (7 .97 ) and using Eq. (7 .95 ), we obtain:(7 .98 a)which can be written in the equivalent form:(7 .98 b)which is the ODE for the Legendre polynomial, as previouslypointed ... 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...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 8 pdf

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

... zero:loQ=tril(Q)producesloQ =0 .97 08 0. 498 3 0 .96 01 0.26 79 0 .99 01 0.2140 0.7266 0.4 399 0.78 89 0.6435 0.4120 0 .93 340.4387 0.3200 0.7446 0.68330 .97 08 0. 498 3 0 .96 01 0.26 79 0 0.2140 0.7266 0.4 399 0 0 0.4120 0 .93 340 0 ... 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 .97 01 -0 . 894 4 -0 .2425 -0 .4472D =1 00 ... 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...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 10 docx

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

... com-mon with A.NA C()!!!== 95 10 8510 95 PACC() .==××××××××=10 95 1010086 87 88 89 90 96 97 98 99 1000 5837PA PA() ()=−1A© 2001 by CRC Press LLC(S.51)(S.52)tanh ( ) ln−=+−11211xxxsech−=+−121211() ... 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, ... OQP, onededuces 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...
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