Nonlinear Distortion Analysis of Directly Modulated ... - 연세대학교

SL power. To use injection locking technique, these parameters should fulfillthe stable locking condition. Therefore, the stable locking condition should beanalyzed at first.For small signal analysis, the parameter S, N, Φ, and I are represented byS( t)S + δS3-2(a)= 0N( t)N + δN3-2(b)= 0Φ(t ) = Φ + δΦ3-2(c)0I( t)I + δI3-2(d)= 0S 0 , N 0 , Φ 0 , and I 0 are steady state solutions. By inserting 3-2(a)-(d) into theeqn. 3-1, a set of linearized equations in the frequency domain is obtained.[ M ]⎡ ⎤⎡δS⎤ ⎢ 0 ⎥⋅⎢ ⎥ ⎢ ⎥⎢δΦ⎥=⎢ −1 0 ⎥⎢⎣δN⎥⎦⎢ δI⎥⎢⎣qVa⎥⎦3-3where [M] =⎡⎢ A − BS0+ K⎢⎢1⎢ − [ αB+ K⎢ 2⎢⎢−g0( N0− N⎢⎣cSScosΦ− iw1 Sinjsin Φ0]S0S01)(1 − εS0) + BSΓct0inj0p02K− KccSSSinj0injSsin ΦcosΦ0000− iwΓβ+ CSτn1αC2− D − iw⎤⎥⎥⎥⎥ 3-4⎥⎥⎥⎥⎦1A = Γg0( N0− N t)(1 − εS0) −3-5τB = Γgε N − N )3-60(0 tC = Γg 01−εS)3-7(01D = −g0( 1−εS0) S0−3-8τn023