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H.Lee: CMOS RF Integrated Circuits Lecture Notes - ppt

2013-09-29
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PLL_par1PHASE-LOCKED LOOPS--1（Phase-locked loop）By Ma, HUAINAN Ma Huainan 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 HillhmaPage 112/8/2004 1.1 Laplace Transform1.1.1 Fourier TransformF (ω ) =1.1.2 Laplace Transform∞∫∞f ( t )e jω t dtF (ω ) =∫0∞f ( t )e st dt;( s ≡ σ + jω )Complex frequencyhmaPage 212/8/2004 1.1.3Laplace Transforms Used in PLL Analysis Laplace Transform for Derivative df(t)/dt1.1.3.1df ( t ) L{ } = sF ( s ) f ( 0) dt = sF ( s ). [ if1.1.3.2f ( 0 ) = 0]Laplace Transform for integral of f(t)F ( s ) f ( 1 ) ( 0 ) … …

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