, . W(s) v(t) = A0sinωt A0 ω.
(.. ) y(t) = A1(ω)sin[ωt + φ(ω)] , A1(ω) φ(ω) .
R(ω) = A1(ω) / A0, , - (). , .
φ(ω) () . .
- (), W(jω), , , ..
|W(jω)| = R(ω), arg W(jω) = φ(ω).
, .
W (jω) = Y(jω) / V(jω) = W(s)| s = j ω
s=jω. W(jω) , .
:
W (j ω) = R (ω) j φ (ω) = U (ω) + j V (ω),
U(ω) = Re{W(jω)} V(ω) = Jm{W(jω)} . :
(U, jV) , .. , W(jω) = U(ω) + jV(ω) . . W(jω), . , .
(): - () (). 20lg |W(jω)| lgω, φ(ω) lgω.
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, -, - . - , [5].
. 0, , A1(ω) . ω (.. lgω), - L(ω) = 20lg|W(jω)| = 20lg|A1(ω)/A0| , ().
. . [5]:
- , W(s), ;
- , , 20*υ /, ω= 1 20 lg k();
- , , 20 / 40 / , . (+) (-) , ;
L(ω) ω, ωi.
3.
1. MATLAB 6X.
simulink. Simulink Library Browser ( SIMULINK). S , Simulink Library Browser.
SIMULINK drag-and-drop ( ). . .
2. - 1 . . 2 ( ).
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Simulink: Sine Wave ( ) Sources (); Transfer Fcn ( ) Continuous ( ); Mux () Signals & Systems ( ); Scope () Sinks (). , .
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Sine Wave : Sine type Time-based; . . OK .
Transfer Fcn . Numerator Denominator. s, . Mux Scope .
. Simulation Simulation parameters ( ). Solver () : Start time=0 ( ); Stop time = 10 ( ).
Solver options ( ) () Type (). () Fixedstep ( ), ode 5 (Dormand Prince). Fixed step size ( ) 0.005. OK . - . Scope .
Scope . . , , t . t. 10 10 1. Scope .
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3.2. Tools () Linear analysis( ). LTI Viewer Model_Inputs_and_Outputs. Input Point , Output Point .
3.3. Simulink LTI Viewer Get Linearized Model ( ). LTI Viewer , (Step). , Plot Type ( ) . (Bode , Nyquist ).
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, Edit () Viewer Preferences ( ). Parameters () LTI Viewer Preferences .
.
3.4. Edit () LTI Viewer Plot Configurations ( ), LTI Viewer. (Bode), 2 , , (Step) (Nyquist) 2, 1 2. LTI Viewer . File () Print to Figure ( ) Figure No._ Edit Copy Figure. Figure No._ . Microsoft Word . Figure No._, .
4. 3 2 5 .2 Transfer Fcn .
LTI Viewer, Edit () Systems () Refresh (). Updating the LTI Viewer ( ) Do you want to remove these systems from LTI Viewer? ( ?) Yes (). Simulink Get Linearized Model ( ) . LTI Viewer.
5. ().
. 3.
. 3
Sine Wave Input Point Output Point. Step () Simulink Sources (), Transport Delay ( ) Continuous ( ). Final Value ( ) Step . . k T Transfer Fcn ( ). Transport Delay Time delay ( ). : Start time = 0; Stop time = 10; Variable-step ( ); .
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. Scope .
- , s=jw. :
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Plot (AFX);
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