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827:

827 0688759652

:

- . , , " " " ", .

2963-2 (RUS) . :

2963-2

II ... 372:

!

.

, ( Phase - Locked Loop, PLL), , , , , .

1930 . 1960 . , Ÿ , - ĸ Ÿ . , , ( ) , , , ĸ .

, G(s) c H(s), e(s), Vi V0.

(. 1) :

(1)

, GCL - ( Gain Closed Loop).

(2)

- , , - .

1. ()

      ().

PD (Phase Detector) , . , , . , , e(s) . , , , , () .

: ; ( ), , .

(. 2) Ÿ :

  • PD CP (Charge Pump);
  • , Z(s);
  • VCO (Voltage-Controlled Oscillator);
  • N.

2.

  .

, , , . , , "".

, e(s):

e(s) = Fref (F0/N), (3)

e(s) = 0,

Fref = F0/N, (4)

F0 = N·Fref. (5)

F0 N·Fref, , .

, , VCO, KvV, Kv - VCO / V - VCO. , e(s) . , VCO , . , , , , , . ޸ 90º. , , 90º , , . - , , , , .

, θ . VCO , . , , , - , . : , . , , . , , , , , ޸ . , 90º Ӹ ϸ , .

, , , " ", , . VCO , , "", . , " " VCO , θ VCO. , " " .

- " ", . "", , , VCO . , VCO, VCO. - . , . , , . , , " ", , "".

GCL :

(6)

Forward Gain, G, , , Loop Gain, GH, .

(7)
(8)

GH , , , N :

Fout = N x Fref. (9)

. 3 VCO .

3. VCO

  VCO.

, (. 4), (Integer) .

4. ,

,     .

. 4 :

  • P0,i - ; , - ;
  • M - ;
  • N - ;
  • i - , .

, i = 1 n = 0, P0 - , "" M N, 1. N , i = 1 n = 0. , i = 2 n = 1, N n . . , Ӹ , , , .

1 :

(10)

i ( 2) :

(11)

, , :

(12)

(i-1)n , ( i = const) n , n N ( ). , i = const n . , , , M N ( ) .

Pi

Pi = P0 + i(n+1) (13)

Pi = Pi-1 + 1 . (14)

(12) (14) M N, P0, . - P0 ( M N , ), ĸ (10), (12) (14) 1 P1, 2 P2, 3 P3 .

  1. Curtin M., OBrien P. Phase-Locked Loops for High-Frequency Receivers and Transmitters. Part 1. Analog Dialogue - 3. 1999.
  2. Horowitz P., Hill W. The Art of Electronics. Second Edition. Cambridge University Press. 1989.






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