CMOS Optical Preamplifier Design Using Graphical Circuit Analysis

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APPENDIX A <strong>Analysis</strong> of Feedback Amplifier <strong>Using</strong> DPI/SFG In this section, we illustrate how DPI/SFG analysis is applied to the two-stage transistor feedback amplifier example introduced in Chapter 2. The circuit is shown again in Figure A.1. This example also serves as a comparison of DPI/SFG analysis with traditional nodal and topology-based feedback analysis. Assuming g m = 100mA ⁄ V , β = 100 , and ignoring the Early effect for both transistors, let us determine the input and output resistance as well as the voltage gain of the amplifier. v s R s =1kΩ 1 R in 2 Q 1 Having derived the signal-flow graph (SFG) for the bipolar transistor in Chapter 4, the SFG for this circuit can be obtained by simply connecting together the indi- vidual device SFGs as shown in Figure A.2. The superposition of the circuit sche- matic atop of the circuit SFG allows us to see the structural similarities between the two representations of the circuit. This superposition helps provide visual clues to the various feedback paths found in the circuit. We can simplify this graph by noting 168 V cc R 1 =10kΩ 3 R e =28Ω Q 2 R 2 =1kΩ R f =500Ω v o R out Figure A.1 Two-stage amplifier with feedback.
v s i ti that part of the SFG for Q 2 can be eliminated because of its common-emitter config- uration. The final SFG including all the branch and node expressions is shown in Figure A.3. The various branch transmittances are calculated below: v s [a] G s a a = 0.001S b = 500Ω c = – 0.1S d = 909.09Ω e = – 0.1S f = 333.33Ω g = 0.002S h = 0.101S i = 7.209Ω j = 0.001S k = 0.1S l = 0.002S b [b] R || s β ⁄ gm1 i sc1 j c h k d i 0 ve2= 0 Figure A.2 SFG for wideband feedback amplifier. [c] – v 1 [j] gm1 ⁄ β g m1 i sc2 Figure A.3 Simplified SFG for wideband feedback amplifier. v 3 v 2 i to e [d] [e] R || 1 β ⁄ gm2 – gm2 [k] g m1 [h] gm1 ⁄ α l i sco [l] G f [i] R || α e R || f -------- g m1 f g [f] R || 2 R f i sc3 [g] G f 169 v out v o
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CMOS Optical Preamplifier Design Us
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To achieve low-voltage operation, w
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Table of Contents CHAPTER 1 INTRODU
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CHAPTER 1 1.1 OVERVIEW Introduction
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Information Source Modulator Drive
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1.2 Thesis Outline 5 [Ohhata,1999].
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1.2 Thesis Outline 7 technique call
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1.2 Thesis Outline 9 Detector in St
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E e + - V bias 2.1 Photodetectors 1
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Diode Capacitance (pF) Diode capaci
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2.2 Optical Preamplifier Structures
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2.3 Transimpedance Amplifier Design
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I dc 2.3 Transimpedance Amplifier D
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Source Figure 2.11 General structur
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A = = For = 1V , the solution is v
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The gain of the forward amplifier c
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Feedback Analysis Using Return Rati
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2.4 Circuit Analysis Techniques 33
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2.5 An Overview of Signal-Flow Grap
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1 x1 x2 2.5 An Overview of Signal-F
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2.6 SUMMARY REFERENCES • ∆ k =
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Symp. Circuits Systems, vol. 3, pp.
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CHAPTER 3 New Transimpedance Amplif
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3.1 A Differential Transimpedance A
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3.2 A Feedback Topology for Ambient
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3.2 A Feedback Topology for Ambient
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Transimpedance (dBΩ) 90 80 60 40
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3.3 A Low-Voltage Transimpedance Am
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C 3 Φ1VB M 3 V B- =0.7V M 7 Figure
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3.4 SUMMARY 3.4 Summary 71 In this
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3.4 Summary 73 Y. Nakagome et al.,
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4.1 Introduction 75 back topology o
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4.2 Circuit Analysis Using Driving-
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4.3 DPI/SFG: Combining DPI Analysis
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4.4 Determining Port Impedances 87
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v i R in v o R out 4.4 Determining
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id » ro and 1 ⁄ rid « Av ⁄ ro
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Z b r e g m 4.5 Analyzing Transisto
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4.5 Analyzing Transistor Circuits 9
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Figure 4.25 SFG for the source foll
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5.1 Analysis of the Low-Voltage Tra
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5.1 Analysis of the Low-Voltage Tra
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5.2 DEVELOPING AN ANALYTIC CIRCUIT
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Z in 5.2 Developing an Analytic Cir
Page 123 and 124: 5.2 Developing an Analytic Circuit
Page 125 and 126: I n1 : i in I n2 -I n1 i scin ( sCi
Page 129 and 130: I nRf : 5.2 Developing an Analytic
Page 131 and 132: DC transimpedance gain: Pole locati
Page 133 and 134: Frequency (MHz) 500 450 400 350 300
Page 135 and 136: Pole frequencies(MHz) 500 450 400 3
Page 137 and 138: Optimizing Sensitivity 5.2 Developi
Page 141 and 142: Transimpedance Volts dB (lin) Gain
Page 143 and 144: CHAPTER 6 Implementation and Experi
Page 145 and 146: 6.1 A 1V Optical Receiver Front-End
Page 149 and 150: 6.1.2 Experimental Results 6.1 A 1V
Page 151 and 152: Gain(dB) 0 −1 −2 −3 −4 −5
Page 159 and 160: Clock signal of voltage doubler Eye
Page 161 and 162: 6.2 Variable-Gain Transimpedance Am
Page 163 and 164: 6.2.2 Experimental Results 6.2 Vari
Page 165 and 166: 6.3 Summary and State-of-the-Art Co
Page 167 and 168: Reference Outputs Technology Supply
Page 169 and 170: CHAPTER 7 Conclusions 7.1 SUMMARY A
Page 171 and 172: 7.2 Future Work 165 The significanc
Page 173: 7.2 Future Work 167 supply and subs
Page 177 and 178: Thus, P1 ′ = b = 500Ω ∆1 ′
Page 179 and 180: itive representation of circuit dyn
Page 181 and 182: Bipolar Transistor i scb Z b v b b
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CMOS Optical Preamplifier Design Using Graphical Circuit Analysis

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