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FE8113 ”High Speed Data Converters”. Part 1: Architectures. First three chapters of van de Plassche’s textbook Ch.1: The Converter as a black box Ch.2: Specifications of converters Ch.3: High-Speed A/D Converters . Chapter 3 High-speed A/D Converters.
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Part 1: Architectures • First three chapters of van de Plassche’s textbook • Ch.1: The Converter as a black box • Ch.2: Specifications of converters • Ch.3: High-Speed A/D Converters
Design problems in high-speed converters • Timing errors • Sampling clock jitter • Limited rise/fall time of sampling clock • Skew of the clock and input signal at different places on the chip • Typically a signal travels 200µm-300µm in 1ps (1/3 the speed of light) • Signal-dependent delay • An amplitude limiting circuit followed by a bandwith-limiting circuit will introduce slope-dependent delay • Leads to 3rd order distortion at the quantizer output
Design problems in high-speed converters • Distortion • Sampling comparators aperture time • High-frequency sampling errors, averaging effect in time domain • Leads to third order distortion • Distortion in the input buffer or input signal amplifier • Harmonics and mixing products of the input signal • Offset in input amplifiers and comparators • Changes in the reference voltage values • Delays of analog signal and clock signal
Full-flash converters • 2N-1 reference voltages and comparator stages • Well suited for high speed, low resolution ADCs • Drawbacks (for medium+ N) • Large, nonlinear input capacitance • Area and power consumption ~ 2N • Large kickback to driving circuitry • May need off-chip buffers and clock drivers
Interpolation • Interpolation reduces the number of input amplifiers and reference levels • Additional zero crossings obtained by passive or active interpolation
Interpolation • Interpolation has a positive effect on DNL • The good matching of resistors result in high-accuracy interpolated signals with small DNL errors
Multiple interpolation • Multiple interpolation will reduce the number of references and amplifiers even more • But: • As the resistor string grows, the middle of the string will have a larger time constant compared to the edges • Results in increased power at the amplifier outputs, and low value for Rintpol
Active interpolation • With passive, resistive interpolation the amplifier output impedance must be kept low. Otherwise there will be an interaction between interpolating stages • A way of overcoming this is active interpolation, which shows no interaction between interpolating stages
Averaging • Reduces sensitivity to offset voltages at input amplifiers • A rough estimate is that the offset voltage reduces with a factor (Nactive)1/2 • SNR is improved by the same amount • The figure shows improved linearity performance after averaging
Averaging • Near the ends of the averaging cahin, an unequal number of averaging amplifiers contribute from each side • This results non-linearity, and in practice only 70% of the input range is usable • A solution to this is to increase the number of averaging levels, but this causes an inefficient system
Averaging, non-linearity compensation • To compensate for non-linearity errors, the end resistor are weighted differently, and the end signal is connected to the inverted input side of the resistor string • Gives a continuous ring of resistors • Active averaging • One extra pair at each end will give ideal linearity compensation • Matching problems, however, will influence the offset and linearity of the system
Gray code full flash converters • With input signal increasing 1LSB, only one comparator changes state • Cross-coupling of comparators, for 4 bits: • MSB: Level 8 • MSB-1: Levels 4 and 12 • MSB-2: Levels 2,6,10 and 14 • LSB: Levels 1,3,5,7,9,11,13 and 15 • Analog encoding of signals is performed by differential pairs • Small amount of clocked comparators, resulting in small area and power consumption • Difference in comparator delay will lead to coding errors and distortion unless there is a sample-and-hold at the input • Encoding comparator structure grows towards LSB, limiting bandwith • Two-step encoding is possible. The result is formed by a logical combination at the output
Circular code full flash converters • Same principle as for gray-converter, except circular code will give equal comparator loading • In circular code, each bit, except the MSB, has the same number of transistions from the lowest to the highest code • Reduction in the number of comparators by at least a factor two
Two-step flash converters • Coarse and fine sub-converters • Often, the full-scale range of the fine converter is increased with respect to the LSB step size of the coarse system • Compensates for error between coarse and fine conversion
Sub ranging converter architecture • Basically a two-step converter with no gain stage between the coarse and fine converter • Matching problems between gain stages and reference voltage ladders are avoided this way • Reference ladder with 2N-1ladder taps • 2N1 coarse ladder taps • 2N2-1 fine ladder taps between each coarse ladder tap
Pipeline converter architecture • The pipeline ADC will be discussed in detail in Part II of the course
Folding converter system • Analog preprocessing transform the input signal into a repetitive output signal • Same comparators used for multiple zero-crossings at the folding circuit output • Low component count results in area and power saving • Drawbacks • High internal frequencies in folding circuit • Loss of resolution due to limited bandwith in folding circiut
Folding converter system • Current-folding A/D converter system example • Increasing Iin will forward bias an increasing number of diodes in the signal chain • The crosscoupling of transistors to the output produces the folding function
Folding converter system • With limited bandwith in the folding circuit, the triangular shape of the folding function cannot be maintained • This leads to missing codes and distortion
Folding converter system • High-frequency limitations can be overcome by a double folding system • Two sets of cross-coupled differential pairs connected to a reference ladder • Two folded outputs with a ”phase shift” of 90o • Switch between the two, so that you always operate in the linear region
Folding converter system • High-frequency performance increased by adding a T/H at the input • High requirement for the T/H amplifier • Distributed T/H (one for each folding block) • Relaxes the T/H amplifier requirements
Folding converter system • Cascaded folding: • Cascaded sets of folded output signals • Two-step folding: • N signals from analog preprocessor (amplifier+references) are combined and folded • The outputs from N folding blocks are combined in the next stage
Folding converter system • Cascaded folding: • Cascaded sets of folded output signals • Two-step folding: • N signals from analog preprocessor (amplifier+references) are combined and folded • The outputs from N folding blocks are combined in the next stage
Delay over interconnect lines • Special attention must be paid to layout of clock and signal lines • Delay line modeled as a distributed RC-network • A tree structure gives the same time constant to each comparator