PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB
470 Practical MATLAB® Applications for Engineers and tan[ ( )] W W W imag F e real F e j j { [ ]} { [ ]} R.5.34 It can be show ...
DTFT, DFT, ZT, and FFT 471 f. Convolution in time f 1 (n) ⊗ f 2 (n) ↔ F 1 (ejW). F 2 (ejW) g. Convolution in frequency fnfn 12 F ...
472 Practical MATLAB® Applications for Engineers R.5.40 Observe that the FT (analog case) and DTFT (discrete case) present simil ...
DTFT, DFT, ZT, and FFT 473 c. [H, W] = freqz(G, F, W), over the range −π ≤ W ≤ π d. [H, W] = freqz(G, F, W, Fs/2), where 0 ≤ W ≤ ...
474 Practical MATLAB® Applications for Engineers R.5.48 The power of ZT is that any difference equation can be easily transforme ...
DTFT, DFT, ZT, and FFT 475 R.5.50 H(z) is called the discrete-system function or discrete-system transfer function. Recall that ...
476 Practical MATLAB® Applications for Engineers f. Differentiation in frequency nf n z d dz ()↔ {()}Fz g. Frequency shifting ( ...
DTFT, DFT, ZT, and FFT 477 R.5.53 For example, let an arbitrary discrete-time sequence be given by f(n) = 3 (n) + 5 (n − 2) − ...
478 Practical MATLAB® Applications for Engineers Recall that if Hz Gz Fz A az Az za () () () () 1 ^1 then the ROC is g ...
DTFT, DFT, ZT, and FFT 479 Gz gnzn n () ( ) ∑ Gz() Fz Hz() . () Hz Gz Fz () () () and recall that gn f kh n k k () ...
480 Practical MATLAB® Applications for Engineers and rz 1 ^1 1 or zr^1 Then the convergence conditions exist for the values ...
DTFT, DFT, ZT, and FFT 481 ANALYTICAL Solution Zf n F z unz z z n n n n [()] 33 () () 0 1 1 1 ∑∑ then ...
482 Practical MATLAB® Applications for Engineers R.5.65 The ROC for a fi nite length sequence is the entire z-plane. Only two po ...
DTFT, DFT, ZT, and FFT 483 c. For the causal signal f(n), if f(n) = 0 for n < 0, then the exterior of the circle defi ned by ...
484 Practical MATLAB® Applications for Engineers R.5.73 For example, evaluate f 1 (n) and f 2 (n) by taking the inverse ZT of F ...
DTFT, DFT, ZT, and FFT 485 Evaluate the Z[f(n)] in the following ways: a. Analytically b. Symbolically by using MATLAB ANALYTICA ...
486 Practical MATLAB® Applications for Engineers F2 _ z = z/a/(z/a-1) >> pretty(F2 _ z) z ---------- a (z/a - 1) >> ...
DTFT, DFT, ZT, and FFT 487 MATLAB Solution %script file: sym _ z _ plots syms a b n f1 _ n = 1^n; F1 _ z = ztrans(f1 _ n) f2 _ n ...
488 Practical MATLAB® Applications for Engineers R.5.79 The MATLAB symbolic toolbox command iztrans(Fz) returns the inverse ZT o ...
DTFT, DFT, ZT, and FFT 489 a. The MATLAB command [zeros, poles, k] = tf2zp(G, F) returns the zeros, poles, and gain k of a given ...
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