Radio Frequency Integrated Circuit Design - Webs

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High-Frequency Filter Circuits Figure 9.10 How the series notch filter remains stable even when all losses are cancelled. 9.4.3 Bandstop Filter with Transformer-Coupled −Gm Negative Resistance The parallel resonator-style bandstop filter can also have negative resistance placed around it (shown in Figure 9.11). The filter has a −Gm negative resistance Figure 9.11 Bandstop filter with a transformer-coupled −G m negative resistance. 331
332 Radio Frequency Integrated Circuit Design circuit coupled into the resonator with the aid of an on-chip transformer. The −Gm cell generates a negative resistance of −2/g m , which is then transformed through the transformer to the emitter of the transistor Q 1. If the transformer is assumed to have an inductance ratio of 1 for simplicity (note that nonunity inductance ratios can result in linearity, stability, and noise advantages, but a unity ratio will keep the math simpler), then (9.9) can be modified by first noting that the total resistance associated with the resonator will now be R Total =− 2 g m // R E = 2R E 2 − g m R E (9.18) Note that R E is assumed to be the total positive resistance associated with the resonator. Now (9.9) becomes T(s) = −g m1RL 2R E where D = 2 − g m R E 2C E R E 1 and F = C�1 2 − g m R E� s 2 + C E s 3 + Ds 2 + Es + F s 1 + 2R E L E C E� 2 − g m R E 1 + R S� 1 2 − g m R E 1 2R E + , E = C�1 C E� C E C�1RS (9.19) + g m1 1 + L E C E , . L E C E C�1R S The stability analysis of this circuit has already been considered in Section 9.3.3. Though reassuring, a plot of the poles fails to provide much design insight into the problem of making the filter stable. In this section, a simpler interpretation of stability will be presented. The mechanism for damping the oscillation must come from either the source or load impedance. In the previous circuit, the cascode transistor provided damping for the resonator. In this circuit, the source impedance must damp the filter, as shown in Figure 9.12; however, this analysis proceeds much like the one in the previous section. For perfect notching, the negative resistance must equal the tank losses R E , so, 2 g m = R E Thus, the optimal current must be (9.20)
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Radio Frequency Integrated Circuit
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Radio Frequency Integrated Circuit
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Contents Foreword xv Acknowledgment
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Contents 3.8 Base Shot Noise Discus
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Contents 5.25 Packaging 135 5.25.1
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Contents 7.12 General Design Commen
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Contents 9.5 Some Simple Image Reje
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Foreword I enjoyed reading this boo
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Foreword estimates of parasitic cap
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xx Radio Frequency Integrated Circu
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2 Radio Frequency Integrated Circui
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2 Issues in RFIC Design, Noise, Lin
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Issues in RFIC Design, Noise, Linea
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The input noise is Issues in RFIC D
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2.5 Filtering Issues Issues in RFIC
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3 A Brief Review of Technology 3.1
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A Brief Review of Technology IC = I
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3.4 Small-Signal Model A Brief Revi
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3.6 High-Frequency Effects A Brief
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A Brief Review of Technology If thi
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A Brief Review of Technology Soluti
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A Brief Review of Technology 3.8 Ba
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A Brief Review of Technology • Pi
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A Brief Review of Technology 3.16,
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A Brief Review of Technology The tr
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4 Impedance Matching 4.1 Introducti
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Impedance Matching Z 2 = Z in + j
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Figure 4.5 A Smith chart. Impedance
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4.3 Impedance Matching Impedance Ma
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Impedance Matching Figure 4.9 Which
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Impedance Matching Figure 4.11 Lowp
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Impedance Matching section, convers
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Impedance Matching Much as in the p
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Impedance Matching Note that dots i
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Impedance Matching Thus, in the fir
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Impedance Matching The exact resist
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Impedance Matching 4.10 Quality Fac
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Impedance Matching Example 4.7 Matc
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Impedance Matching line to change w
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Impedance Matching S22 = b 2 a2 | a
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Impedance Matching without the need
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96 Radio Frequency Integrated Circu
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100 Radio Frequency Integrated Circ
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Page 323: 302 Radio Frequency Integrated Circ
Page 326 and 327: Voltage-Controlled Oscillators back
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Page 338: Voltage-Controlled Oscillators [10]
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Page 370 and 371: 10 Power Amplifiers 10.1 Introducti
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Page 378 and 379: Power Amplifiers Figure 10.9 Curren
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Page 382 and 383: Power Amplifiers sinusoid), this pe
Page 384 and 385: Power Amplifiers Note that this agr
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Page 390 and 391: Power Amplifiers Figure 10.22 Class
Page 392 and 393: Figure 10.24 Class E waveforms. Pow
Page 394 and 395: Power Amplifiers B = 0.1836 0.81Q R
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Example 10.4 Class F Power Amplifie
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Figure 10.36 Class H amplifier. Pow
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Power Amplifiers ered quite good. O
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Power Amplifiers Figure 10.39 Time-
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Figure 10.42 High-Q matching circui
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Figure 10.44 Multiple transistors.
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Power Amplifiers Figure 10.48 Combi
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Power Amplifiers have very narrow b
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Power Amplifiers Figure 10.53 Feedf
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Power Amplifiers in class A (input
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About the Authors John Rogers recei
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Index 1-dB compression point, 30-32
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Index Damped resonator, 247-48 Emit
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Index Local oscillator, 5 Mixing co
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Index Quadrature phase shift keying
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