By V. Zhurbenko
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Additional info for Advanced Microwave Circuits and Systems
8. (a) Model of an as-measured 4-port. The DUT is embedded in between the intervening structures L and R. (b) Model of a THRU dummy pattern. differential circuits. The common mode describes how the pair would collectively appear when seen from far away. Since KU = KVe/o and KP = 1n as shown in (47) and (48), according to (25), Z0c/d is not equal to Z0 . If, for example, 50 0 Z0 = , (51) 0 50 then Z0c/d = 25 0 0 100 . (52) From (26), Sc/d = KVe/o SKVe/o = Se/o = 1 2 S11 + S21 + S12 + S22 S11 − S21 + S12 − S22 (53) S11 + S21 − S12 − S22 S11 − S21 − S12 + S22 .
S˜ = (63) , .. . , 2009). The port indices of S˜ are shown in Fig. 12 without primes. The problem, therefore, is the transformation of S into S˜ followed by reordering of rows and columns yielding S˜ . In the case of a cascadable 2n-port, it makes sense to divide the ports into two groups as shown in Fig. 12, and hence the division of S, a, and b into submatrices/subvectors: b= b1 b2 = S11 S21 S12 S22 a1 a2 = Sa. (64) 26 Advanced Microwave Circuits and Systems S′, S′̃ S, T, S̃ 1′ a1 3′ b1 7′ 5′ 1 n+1 2′ 2 n+2 4′ 3 n+3 6′ 4 n+4 8′ a2 b2 2n-port (2n−3)′ n−1 (2n−1)′ 2n−1 n 2n (2n−2)′ (2n)′ Fig.
13 µm Rpk 50 35 Lpk 3nH 2nH R pk out M2 bias1 buffered L3 M1 in L2 C3 C2 DEVICE SIZES FOR 3-5GHZ AND 6-10GHZ Ls bias2 Fig. 18. 4th order LC ladder LNA dedicated to 3-5GHz or 6-10GHz bands 15 10 10 5 5 0 S11 & S21 (dB) S 1 1 & S 2 1 (d B ) 15 -5 -10 -15 S11 S21 -20 0 -5 -10 -15 S21 S11 -20 -25 -30 -25 1 2 3 4 5 Frequency (GHz) 6 7 8 2,5 5,5 8,5 Frequency (GHz) 11,5 (a) (b) Fig. 19. Simulated S11 and S21 of a 4th order LC ladder cascode LNA dedicated to 3-5GHz (a) and 6-10GHz (b) Current reuse topology in UWB CMOS LNA 47 A wide band operation requires from active devices a large current consumption to ensure a sufficient high cutoff frequency.