Recently, various multibit noise-shaping digital-toanalog converters (DAC's) have been proposed that use digital signal processing techniques to cause the DAC noise arising from analog component mismatches to be spectrally shaped. Such DAC's have the potential to significantly increase the present precision limits of 16 data converters by eliminating the need for one-bit quantization in delta-sigma modulators. This paper extends the practicality of the noise-shaping DAC approach by presenting a general noise-shaping DAC architecture along with two special-case configurations that achieve first- and second-order noise-shaping, respectively. The second-order DAC configuration, in particular, is the least complex of those currently known to the author. Additionally, the paper provides a rigorous explanation of the apparent paradox of how the DAC noise can be spectrally shaped even though the sources of the DAC noise---the errors introduced by the analog circuitry---are not known to the ...

This paper presents a second-order ## modulator for audio-band A#D conversion implemented in a 3.3V, 0.5#m, single-poly CMOS process using metal-metal capacitors that achieves 98dB peak SINAD and 105dB peak SFDR. The design uses a low-complexity #rst-order mismatch-shaping 33-level DAC and a 33-level #ash ADC with digital common-mode rejection and dynamic element matching of comparator o#sets. These signal processing innovations, combined with established circuit techniques, enable state of the art performance in CMOS technology optimized for digital circuits. I. Introduction For mixed-signal ICs with high digital circuit content, single-poly CMOS optimized for digital circuits can provide the lowest overall implementation cost. For example, it is preferable to avoid the expense of double-poly capacitors, thick-oxide transistors for 5V operation, or other analog process enhancements when analog circuits such as data converters make up only a small portion of the total die area. This ...

Abstract — A low-noise multibit sigma–delta analog-to-digital converter (ADC) architecture suitable for operation at low oversampling ratios is presented. The ADC architecture uses an efficient high-resolution pipelined quantizer while avoiding loop stability degradation caused by pipeline latency. A 16-b implementation of the architecture, fabricated in a 0.6-"m CMOS process, cascades a second-order 5-b sigma–delta modulator with a four-stage 12-b pipelined ADC and operates at a low 8X oversampling ratio. Static and dynamic linearity of the integrated ADC are improved through the use of dynamic element matching techniques and the use of bootstrapped and clock-boosted input switches. The ADC operates at a 20 MHz clock rate and dissipates 550 mW with a 5 V/3 V analog/digital supply. It achieves an SNR of 89 dB over a 1.25-MHz signal bandwidth and a total harmonic distortion (THD) of 098 dB with a 100-kHz input signal. Index Terms—Analog-digital conversion, bootstrapped switch, digital filters, dynamic element matching, pipeline processing, sigma–delta modulation, switched capacitor circuits. I.

A second-order audio analog-to-digital converter (ADC) 16 modulator using a second-order 33-level tree-structured mismatch-shaping digital-to-analog converter (DAC) is presented. Key logic simplifications in the design of the mismatch -shaping DAC encoder are shown which yield the lowest complexity second-order mismatch-shaping DAC known to the authors. The phenomenon of signal-dependent DAC noise modulation in mismatch-shaping DACs is illustrated, and a modified second-order input-layer switching block is presented which reduces inband DAC noise modulation by 6 dB. Implementation details and measured performance of the 3.3-V 0.5- m single-poly CMOS prototype are presented. All 12 prototype devices achieve better than 100-dB signal-to-noise-and-distortion and 102-dB dynamic range over a 10--20 kHz measurement bandwidth. Index Terms---analog--digital conversion, CMOS analog integrated circuits, delta--sigma modulation, digital--analog conversion, dynamic element matching, mixed analog--digital integrated circuits. I.

Multibit digital-to-analog converters (DACs) are often constructed by combining several 1-bit DACs of equal or different weights in parallel. In such DACs, component mismatches give rise to signal dependent error that can be viewed as additive DAC noise. In some cases these DACs use dynamic element matching techniques to decorrelate the DAC mismatch noise from the input sequence and suppress its power in certain frequency bands. Such DACs are referred to as mismatch-shaping DACs and have been used widely as enabling components in state-of-the-art data converters. Several different mismatch-shaping DAC topologies have been presented, but theoretical analyses have been scarce and no general unifying theory has been presented in the previously published literature. This paper presents such a unifying theory in the form of necessary and sufficient conditions for a multibit DAC to be a mismatch-shaping DAC and applies the conditions to evaluate the DAC noise generated by several of the previously published mismatch-shaping DACs and qualitatively compare their behavior.

Mismatch-shaping digital-to-analog converters (DACs) have become widely used in high-performance delta-sigma data converters because they facilitate delta-sigma modulators with multibit quantization. Relative to single-bit quantization, multibit quantization significantly relaxes the analog circuit performance necessary to achieve a given level of data converter precision, but significant digital logic is required to perform the mismatch shaping. In modern very large scale integration processes optimized for digital circuitry, this tends to be a good tradeoff in terms of both area and power consumption. It is nonetheless desirable to minimize the digital complexity as much as possible. Moreover, in delta--sigma analog-to-digital converters the mismatch-shaping logic is in the feedback path of the delta-sigma modulator, so it is essential to maintain a sufficiently small propagation delay through the mismatch-shaping logic. This paper presents and analyzes several variations of the switching blocks within a tree-structured mismatch-shaping DAC that result in the most hardware-efficient first-order and second-order mismatch -shaping DAC implementations yet known to the authors. The variations presented allow designers to tradeoff complexity for propagation-delay reduction so as to tailor designs to specific applications.

High-performance analog-to-digital converters, digital-to-analog converters, and fractional- frequency synthesizers based on delta--sigma (16) modulation---collectively referred to as data converters---have contributed significantly to the high level of integration seen in recent commercial wireless handset transceivers. This paper presents a tutorial on data converters and their uses and implications with respect to wireless transceiver architectures.

Abstract — Quadrature bandpass (QBP) Σ ∆ ADCs require a feedback path for both the I and the Q part of the complex feedback signal. A complex DAC could give this feedback with near-perfect I/Q balance. Still, the mismatch between the unit elements of the complex DAC introduces mismatch noise that should be shaped out of the signal band with dynamic elementmatching (DEM) techniques. To select the unit DAC elements of the complex multibit DAC, the well-known data directed swapper is generalized towards a complex structure and the necessary constraints for its correct functioning are derived. Additionally, a hardware efficient structure is presented: the reduced butterfly shuffler. Here, some of the QBP swapper cells are replaced by bandpass (BP) swapper cells. Also, great attention is paid to the interconnection pattern of the data directed swapper to prevent instability. I.

Abstract—Quadrature sigma–delta analog-to-digital converters require a feedback path for both the I and the Q parts of the complex feedback signal. If two separate multibit feedback digital-toanalog converters (DACs) are used, mismatch among the unit DAC elements leads to additional mismatch noise in the output spectrum as well as an I/Q imbalance. This paper proposes new quadrature bandpass (QBP) mismatch shaping techniques. In our approach, the I and Q DACs are merged into one complex DAC, which leads to near-perfect I/Q balance. To select the unit DAC elements of the complex multibit DAC, the well-known butterfly shuffler and tree structure are generalized towards a complex structure, and necessary constraints for their correct functioning are derived. Next, a very efficient first-order QBP shaper implementation is proposed. Finally, the newly presented complex structures are simulated to prove their effectiveness and are compared with each other with respect to performance. Index Terms—Butterfly shuffler, mismatch shaping, quadrature bandpass (QBP), tree-structured, 61 analog-to-digital converters (ADCs). I.

Abstract—Dynamic element matching (DEM) is widely used in multibit digital–analog converters (DACs) to prevent mismatches among nominally identical components from introducing nonlinear distortion. It has long been used as a performanceenabling technique in delta-sigma data converters which require low-resolution but high-linearity DACs. More recently, segmented DEM architectures have made high-resolution Nyquist-rate DEM DACs practical. However, the previously published segmented DEM DAC designs have been ad hoc. Systematic techniques for synthesizing segmented DEM DACs and analyses of their design tradeoffs have not been published previously. This paper quantifies a fundamental power dissipation versus complexity tradeoff implied by segmentation and provides a systematic method of synthesizing segmented DEM DACs that are optimal in terms of the tradeoff. Index Terms—Digital-to-analog conversion, dynamic element matching (DEM), segmentation. I.