PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB
450 Practical MATLAB® Applications for Engineers d. The bandwidth of f 1 (t) and f 2 (t) e. The bandwidth of [f 1 (t) + f 2 (t)] ...
Fourier and Laplace 451 h(t) = x(t) −1.5 0 1.5 t input x(t) output y(t) x(t) 1 FIGURE 4.91 Block box system diagram of P.4.16. R ...
452 Practical MATLAB® Applications for Engineers e. angle[H(w)] versus w f. mag[Y(w)] versus w g. angle[Y(w)] versus w h. y(t) v ...
Fourier and Laplace 453 c. cos(3w) d. 2/(jw + 2) e. 3/(jw + 2)^2 f. −1/w^2 P.4.25 Using the MATLAB symbolic toolbox, repeat P.4. ...
454 Practical MATLAB® Applications for Engineers 50 V sw closes at t = 0 R = 2 Ω I(s) L = 1 H C = 0.2 F FIGURE 4.95 Circuit diag ...
Fourier and Laplace 455 P.4.33 Use the LT to fi nd the current i(t) and voltage drop v(t) of the circuit diagram shown in Figure ...
456 Practical MATLAB® Applications for Engineers P.4.37 Let the modulating and carrier signals of a communication signal be give ...
457 5 DTFT, DFT, ZT, and FFT Those who give up liberty for the sake of security deserve neither liberty nor security. Benjamin F ...
458 Practical MATLAB® Applications for Engineers Some historians traced the basis of the algorithm used in this research paper t ...
DTFT, DFT, ZT, and FFT 459 Know the basic standard discrete signals and their transforms Understand the concept of normalized fr ...
460 Practical MATLAB® Applications for Engineers b. Time- or shift invariance Let f(n) → g(n) Then f(n − k) → g(n − k) for any a ...
DTFT, DFT, ZT, and FFT 461 R.5.6 Time invariant linear systems are completely characterized by its impulse response. If the impu ...
462 Practical MATLAB® Applications for Engineers ANALYTICAL Solution a. g 1 (n) is nonlinear time invariant b. g 2 (n) is linear ...
DTFT, DFT, ZT, and FFT 463 R.5.12 The concept of causality is an important concept in many systems. Let us consider a simple exa ...
464 Practical MATLAB® Applications for Engineers The impulse response would then be given by hn hn h() 1 2 (1)() ...
DTFT, DFT, ZT, and FFT 465 and g(n) → H[f(n)] Then gn H f k n k K ()()( ) ∑ , from R.5.16 gn K ()() [( ...
466 Practical MATLAB® Applications for Engineers Since a a k a n 1 1 1 0 ∑ for gn nnun n () n () () ...
DTFT, DFT, ZT, and FFT 467 Observe that the convolution coeffi cients can be evaluated by following the pattern illustrated as f ...
468 Practical MATLAB® Applications for Engineers R.5.24 The convolution of a sequence f(n) with an impulse δ(n − k), where k is ...
DTFT, DFT, ZT, and FFT 469 R.5.28 Observe that DTFT closely resembles the analog FT presented in Chapter 4 of this book. The syn ...
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