PLL_par1PHASE-LOCKED LOOPS--1（锁相环）
By Ma, HUAINAN 马槐楠 Dec. 10, 2004 Reference: 1. Behzad Razavi, “RF Microelectronics”. Pearson Education. 2. Thomas H. Lee, “The Design of CMOS Radio-Frequency Integrated Circuits”, 2nd Edition, Cambridge 3. Roland E. Best, “Phase-Locked Loops Design, Simulation, and Applications”, 5th Edition, McGraw Hill
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1.1 Laplace Transform
1.1.1 Fourier Transform
F (ω ) =
1.1.2 Laplace Transform
∞
∫
∞
f ( t )e jω t dt
F (ω ) =
∫
0
∞
f ( t )e st dt;
( s ≡ σ + jω )
Complex frequency
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1.1.3
Laplace Transforms Used in PLL Analysis Laplace Transform for Derivative df(t)/dt
1.1.3.1
df ( t ) L{ } = sF ( s ) f ( 0) dt = sF ( s ). [ if
1.1.3.2
f ( 0 ) = 0]
Laplace Transform for integral of f(t)
F ( s ) f ( 1 ) ( 0 ) ……
