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, . 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.

, -, - . - , [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 ( ).

, . 1

. 1.

 

Simulink: Sine Wave ( ) Sources (); Transfer Fcn ( ) Continuous ( ); Mux () Signals & Systems ( ); Scope () Sinks (). , .

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 .

.1:

 

1

  (/)      
       

 

MATLAB.

Scope.

3. , () .

3.1. - , .2, Mux . , , . .

 

. 2

 

Transfer Fcn k T .

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 ).

, 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 ( ); .

. Scope .

- , s=jw. :

,

, k T.

 

AFX = k* exp (-

Plot (AFX);

Grid on;

.

 

 

1. , . 3, 4, 5 ( ).

2. .2 1 .

3. :

) h(t);

) ;

) W(jw), R(w) j(w);

) .

 

1. - .

2. :

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