PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB
410 Practical MATLAB® Applications for Engineers FTxsym =simplify(FTx) ; % X(w) FTh = fourier(exp(- 3*x)*sym(‘Heaviside(x)’)+ ex ...
Fourier and Laplace 411 FIGURE 4.56 Plots of X(w), H(w), and Y(w) of Example 4.10. − 6 − 4 − 2 0246 − 6 − 4 − 2 0246 − 6 − 4 − 2 ...
412 Practical MATLAB® Applications for Engineers − 10 − 8 − 6 − 4 − 2 − 2 −1.5 − 1 − 5 − 4 − 3 − 2 − 1 −0.5 0 0.5 0246810 0 5 10 ...
Fourier and Laplace 413 h (t) = 0.5e−0.5tu(t) x(t) = 5cost + 15cos15t y(t) FIGURE 4.60 Block box system diagram of Example 4.11. ...
414 Practical MATLAB® Applications for Engineers FIGURE 4.61 Time and frequency plots of the signals of the block box system of ...
Fourier and Laplace 415 FIGURE 4.62 Circuit diagram of Example 4.12. C = 1F R = 1 Ω V 0 (t) Vi(t) Vi(s) V 0 (s) ANALYTICAL Solut ...
416 Practical MATLAB® Applications for Engineers Example 4.13 The switch sw shown in the circuit diagram of Figure 4.64 has been ...
Fourier and Laplace 417 Ys Zs Ys RsL sC s ss s s Is Vs Z () () () (/ ) ( ) () () 11 121220132 (() () () s VsY ...
418 Practical MATLAB® Applications for Engineers The script fi le analysis_RLC is executed and the results are as follows (Figur ...
Fourier and Laplace 419 ANALYTICAL Solution Recall that Is Vs s ss () () ⋅ 2 (^210) where the applied voltage is either δ (t ...
420 Practical MATLAB® Applications for Engineers Example 4.15 The switch in the circuit diagram of Figure 4.67 is closed for a l ...
Fourier and Laplace 421 Then from Table 4.2 vt() etsin( t ut) () 120 7 ⋅⋅ 7 and therefore, it vt R etut it Cdv t dt d dt e R t ...
422 Practical MATLAB® Applications for Engineers FIGURE 4.68 Plots of the analytical solutions of Example 4.15. 30 20 10 − 10 − ...
Fourier and Laplace 423 30 20 10 − 10 − 2 − 1 − 2 0 0246 − 2 0 0 1 2 3 1 0 2 3 4 (^246) − 2 0246 − 2 −0.5 0.5 0 0 1 1.5 246 time ...
424 Practical MATLAB® Applications for Engineers ANALYTICAL Solution The loop equation of the preceding circuit in the s domain ...
Fourier and Laplace 425 0 0 2 4 − 4 − 10 − 20 − 2 5100 20 10 10 0 − 10 − 20 20 10 0 05 0 5 10 − 10 − 5 5 10 Amplitude (amps) Amp ...
426 Practical MATLAB® Applications for Engineers Example 4.17 Let f(t) be the sum of two cosine waves with frequencies f 1 = 50 ...
Fourier and Laplace 427 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 105 100 10 −^5 10 −^10 10 −^15 10 −^20 Power Spectral Density (P ...
428 Practical MATLAB® Applications for Engineers Example 4.18 Analyze the circuit diagram shown in Figure 4.74, after the switch ...
Fourier and Laplace 429 Zs = [5+2*s -2*s;-2*s 10+2*s]; Vs = [100/s;0]; Is = inv(Zs)*Vs; it = ilaplace(Is);VLs=(Is(1)-Is(2))/(2*s ...
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