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Example of Non-Linear Transfer Characteristic x non-linear system Stephan Henzler Mixed-Signal-Electronics 2012/13 y 112
Nonlinearity in Data-Converters Stephan Henzler Mixed-Signal-Electronics 2012/13 Accuracy: The absolute inaccuracy is defined as the maximum deviation of the actual analog value from the ideal one. It includes offset, gain and linearity errors and may be different for every individual quantization value. The relative inaccuracy is defined as the deviation that remains after offset and gain error have been removed. 113
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Mixed-Signal-Electronics PD Dr.-Ing
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Stephan’s ambition for this cours
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Administratives Lecture: Stephan He
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The Macroscopic World is Purely Ana
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Topics of MSE Course Structure of
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Recommended Literature Analog Integ
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Constraints of Mixed Signal Circuit
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Generic Structure of Mixed-Signal S
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Representation of Discrete Time Sig
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Inverse Z-Transformation Methods f
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Representation of Discrete Time Sig
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low-pass low-pass low-pass Aliasing
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amplitude fsampling = 1 f signal,2
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Anti Aliasing Filter No brick wall
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Practical Sampling: Sample & Hold
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Xsh(!) = ¡ 1 j!¿ Sampling with Fi
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generalization X(s) = Relation Betw
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Downsampling II Mathematically dow
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Upsampling Stephan Henzler Mixed-Si
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Fractional Sample Rate Conversion
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Example for Simple Anti Aliasing Fi
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Transistor Description (for hand ca
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Chapter 2 Sample and Hold Circuits
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Sample & Hold Circuit Stephan Henzl
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Sample & Hold: Clock Feed-Through 3
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5. 6. Clock jitter Sample & Hold Ci
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Impact of Jitter on S&H Performance
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Noise due to jitter: Jitter Effect
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S&H with Correlated Double Sampling
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Noise of Sampled Signals: kT/C-Nois
Page 61 and 62: Closed Loop Track & Hold Circuit 1
Page 63 and 64: Closed Loop Track & Hold Circuit 3
Page 65 and 66: Summary Sample & Hold Circuits Step
Page 67 and 68: Resistor Realizations in MOS Techno
Page 69 and 70: Resistor Realizations in MOS Techno
Page 71 and 72: Switched Capacitor Resistor Emulati
Page 73 and 74: Resistor Equivalents Stephan Henzle
Page 75 and 76: Parameter Variations in SC Circuits
Page 77 and 78: Implementation of Integrated Capaci
Page 79 and 80: Vertical Parallel Plate Capacitor S
Page 81 and 82: Limitations of SC-Equivalence Steph
Page 83 and 84: Limitations of SC-Equivalence Switc
Page 85 and 86: Switched Capacitor Integrators Step
Page 87 and 88: z-Transformation Approximation on
Page 89 and 90: Analysis of Switched-Capacitor Circ
Page 91 and 92: Impact of Parasitic Capacitances C
Page 93 and 94: Switched Capacitor Amplifier Stepha
Page 95 and 96: SC Amplifier: Output Signal Stephan
Page 97 and 98: Superposition Theorem in SC Circuit
Page 99 and 100: Ideal Digital-to-Analog Conversion
Page 101 and 102: DAC Gain Error Stephan Henzler Mixe
Page 103 and 104: Ideal Analog-to-Digital Conversion
Page 105 and 106: Quantization in A/D-Converters Step
Page 107 and 108: Quantization in A/D-Converters Sig
Page 109 and 110: ADC Gain Error Stephan Henzler Mixe
Page 111: Non-Linearity in Data Converters St
Page 115 and 116: DAC Nonlinearity: Differential Nonl
Page 117 and 118: ADC Nonlinearity: Integral Nonlinea
Page 119 and 120: Dynamic ADC Measurement ADC conver
Page 121 and 122: Harmonic Distortion Caused by Nonli
Page 123 and 124: Effective Number of Bits An ideal
Page 125 and 126: Other Useful Figures in Mixed-Signa
Page 127 and 128: Non-Linearity Gain Compression Co
Page 129 and 130: Superposition of Two Frequencies St
Page 131 and 132: Non-Linearity Cross Modulation Co
Page 133 and 134: Non-Linearity Intermodulation Two
Page 135 and 136: Non-Linearity: Further Reading Rec
Page 137 and 138: Chapter 5 Nyquist Rate Digital-to-A
Page 139 and 140: max value bus voltage follower stri
Page 141 and 142: Elmore Delay (cont.): Path Resistan
Page 143 and 144: Elmore Delay (cont): Delay Approxim
Page 145 and 146: Stephan Henzler Mixed-Signal-Electr
Page 147 and 148: Normalized Delay 300 250 200 150 10
Page 149 and 150: Stephan Henzler Mixed-Signal-Electr
Page 151 and 152: Monotonicity in Binary Weighted DAC
Page 153 and 154: Implementation of Binary Weighted D
Page 155 and 156: High number of bits - large area Hi
Page 159 and 160: R-2R-Ladder Network Stephan Henzler
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SC-Amplifier with Controllable Capa
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Thermometer Code Converters (method
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Hybrid Converter Architectures Step
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Charge Scaling DAC Compatibel with
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Analog-to-Digital Converter Familie
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Dual-Slope Analog-to-Digital Conver
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Iterative Analog-to-Digital Convert
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Converter with Successive Approxima
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Converter with Successive Approxima
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Modified SAR Algorithm Stephan Henz
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Charge Redistribution SAR Converter
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Charge Redistribution SAR Converter
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Hybrid SAR Converters Search can b
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Detailed SAR Architecture Let’s
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Binary Weighted SAR Stephan Henzler
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Algorithmic Analog-to-Digital Conve
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Illustration in Robertson Diagram 2
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Voltage Doubling in Algorithmic Con
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Voltage Doubling in Algorithmic Con
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Pipelined ADC 1 Going for pipeline
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High-Speed ADC: Pipeline Processing
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Impact of Comparator Offset on ADC
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Impairments in SAR Algorithms Find
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Redundant SAR Algorithms Stage qua
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Subranging Principle quantization e
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Linear Model of Subranging ADC Step
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Linear Model of Subranging ADC Eff
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General Pipeline SAR ADC Stephan He
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Background Calibration for Stage Ga
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Summary Pipeline ADC Stage errors
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implemented as parallel connection
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thermometer code one-hot code trans
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Bubble Correction in Flash Converte
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Interpolating Flash Converter Steph
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Kickback Effect Especially in flas
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Folding ADC: Operation Principle St
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High-Speed ADC: Parallel Processing
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Chapter 7 Comparators Stephan Henzl
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Static Characteristics of Comparato
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Operational Amplifier as Comparator
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Comparator Propagation Delay Linea
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Track & Latch Circuit I Stephan Hen
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Principle of Track-and-Latch Stage
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Latched Comparators I Standard arc
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Track & latch circuit: Latched Comp
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Current Mode (CML) Latch Combines
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Elimination of Memory Effect Prech
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Chapter 8 Oversampled Converters Si
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Linear Model of Quantization Noise
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Quantization Noise and Oversampling
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Feasibility of Oversampling Goal:
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First Order Noise Shaping Stephan H
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First Order Noise Shaping Stephan H
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Calculation of Signal-to-Noise Rati
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SC Implementation of 1. Order ΣΔ
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Comparison Nyquist Rate vs. SD AD N
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Calculation of Transfer Functions S
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Simulation with Matlab/Simulink Ste
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Output Spectrum of ΣΔ-Modulator f
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Input Level Dependent SNR 2. Order
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Tones Stephan Henzler Mixed-Signal-
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Dithering Reduce the risk of tones
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maximum noise peak Tones input DC l
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STF of 3. Order ΣΔ-Modulator Step
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Cascaded ΣΔ-Modulator (Multi stAg
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3. Order MASH Structure Stephan Hen
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hist(S1) 12000 10000 8000 6000 4000
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hist(S1) 2.5 2 1.5 1 0.5 0 -1 -0.8
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ΣΔ-Analog-to-Digital Conversion S
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Sinc-Filter Basic low-pass filter a
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Sinc Filter Transfer Functions Step
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Implementation of Sinc-Filter Steph
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ΣΔ-Digital-to-Analog Conversion S
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Continuous Time Sigma-Delta Convert
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Comparison of Discrete- and Continu
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Web References Murmann. VLSI Data
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