应用于流水线ADC的LMS自适应校准算法与FPGA实现

研究了应用于流水线模数转换器(ADC)的LMS自适应数字校准算法及其FPGA实现。该校准算法可用于校准大多数已知的误差,包括非线性运算放大器的有限增益、电容失配,以及比较器的失调等。通过Simulink软件,对一个12位160 MS/s的流水线ADC进行建模。采用LMS自适应校准算法对该流水线ADC进行校准,并将算法在Virtex-5上实现了硬件设计。实验结果表明, 输入信号频率为58.63 MHz时,流水线ADC的无杂散动态范围(SFDR)和有效位(ENOB)分别由校准前的46.31 dB和7.32位提高到校准后的82.03 dB和11.12位。     

基于码密度统计的流水线模数转换器校准算法研究

本文提出了一种用于校准流水线模数转换器线性误差的数字后台校准算法。该算法不需要修改转换器级电路部分,只需要一部分用于统计模数转换器输出码的数字电路即可完成。通过分析流水线模数转换器输出的数字码,该算法可以计算出每一级级电路对应的权重。本文利用一个14位的流水线模数转换器来验证该算法。测试结果显示,转换器的积分非线性由90LSB下降到0.8LSB,微分非线性由2LSB下降到0.3LSB;信噪失真比从38dB提高到66.5dB,总谐波失真从-37dB下降到-80dB。转换器的线性度有很大提高。     

PN-assisted digital background calibration of two-step ADC to over 14-bit accuracy

A new non-binary multiplying digital-to-analog converter (MDAC) structure with signal-dependent dithering scaling technique is proposed in this paper. A full digital background calibration algorithm based on pseudo-random dithers injection is used to calibrate the nonlinear errors of MDAC. By measuring sampling capacitor mismatch and op-amp gain errors of the pipelined analog-to-digital converter (ADC) in background, the errors will be greatly reduced by the proposed calibration algorithm. At the same time, the signal-dependent dithering scaling technique provides a swing margin to the injected pseudo-random signal. By using this technique, the errors caused by the capacitor mismatch and op-amp gain errors can be calibrated at the same time. What’s more, this method greatly accelerates the convergence speed. A two-stage 14-bit pipelined ADC is used to simulate and verify the proposed algorithm. The simulation results indicate the effectiveness of the technique, in which the signal-to-noise plus distortion (SNDR) and the spurious-free dynamic range (SFDR) performance of a 14-bit two-step ADC are improved from 49.12 and 56.25 to 85.68 and 102.23 dB with the input frequency being 0.06 * f _s , respectively. The SFDR is more than 98 dB. The SNDR reaches 84 dB in the whole Nyquist bandwidth after calibration. Integral nonlinearity is improved from 80 to 1.5 least significant bits after calibration.     

A 12-bit 20-Msample/s pipelined analog-to-digital converter with nested digital background calibration

A 12-bit 20-Msample/s pipelined analog-to-digital converter (ADC) is calibrated in the background using an algorithmic ADC, which is itself calibrated in the foreground. The overall calibration architecture is nested. The calibration overcomes the circuit nonidealities caused by capacitor mismatch and finite operational amplifier (opamp) gain both in the pipelined ADC and the algorithmic ADC. With a 58-kHz sinusoidal input, test results show that the pipelined ADC achieves a peak signal-to-noise-and-distortion ratio (SNDR) of 70.8 dB, a peak spurious-free dynamic range (SFDR) of 93.3 dB, a total harmonic distortion (THD) of -92.9 dB, and a peak integral nonlinearity (INL) of 0.47 least significant bit (LSB). The total power dissipation is 254 mW from 3.3 V. The active area is 7.5 mm/sup 2/ in 0.35-/spl mu/m CMOS.     

补偿流水线A/D转换器级间增益误差的后台校正技术

在分析流水线A/D转换器中残差放大器电容匹配性和运放的有限增益引起的误差对信号传输影响的基础上,基于冗余位校正流水线A/D转换器结构,通过在信号通路中加入由伪随机码控制的校正信号测量上述误差的方法,在后台校正输出数字信号中的级间增益误差。通过Mat-lab对A/D转换器进行了系统级仿真。结果表明,12位A/D转换器系统的SFDR提高了31.8dB,SNDR提高了11.5 dB,INL减小了3.43 LSB,DNL减小了0.21 LSB。     

A statistics-based digital background calibration technique for pipelined ADCs

This paper introduces a digital background calibration technique for pipelined analog-to-digital converters (ADCs). The proposed method continuously measures and digitally corrects conversion errors resulting from residue amplifier gain error and nonlinearity. It is based on modulation of the residue voltage using a pseudorandom-noise sequence (PN). A least-mean-squares (LMS) algorithm is utilized to correct conversion errors arising from the residue amplifier non-idealities. Besides, a new statistics-based digitized residue distance estimation (DRDE) algorithm is proposed that allows the LMS algorithm to operate in the background without interrupting the normal operation of the ADC. The DRDE method extracts the residue amplifier non-idealities by evaluating the digitized residue voltage probability density function (PDF). Behavioral simulation results verify the usefulness of the proposed calibration technique and show that the signal-to-noise-and-distortion-ratio (SNDR) is improved from 43 to 71.9 dB, in a 12-bit pipelined ADC.     

Variable-amplitude dither-based digital background calibration algorithm for linear and high-order nonlinear error in pipelined ADCs

Dither-based digital background calibration algorithm has been used to eliminate the influence of linear and nonlinear errors in pipelined ADC. However, this algorithm suffers from two disadvantages: too slow convergent speed and deduction of transmitting signal’s amplitude in analog circuits due to dither injection. Input-dependent variable-amplitude dither-based algorithm is used in this paper to conquer both disadvantages. This proposed algorithm is implemented in a 14-bit, 100 MHz sample-rate pipelined ADC. The simulation results illustrate signal-to-noise and distortion (SINAD) of 76.56 dB after calibration of linear and nonlinear errors. Furthermore, the convergent speed is improved much more.     

基于冗余子级的流水线ADC校准技术

提出了基于冗余子级的流水线ADC后端校准技术,采用精度较高的流水线冗余子级代替参考ADC,对流水线ADC的各个子级校准,替代了对整个ADC的校准,使校准系统无需降频同步,较好地解决了传统校准系统中主信号通路与参考ADC信号通路不同步的问题。对Matlab/Simulink中搭建的精度为16位、采样频率为10 MS/s的流水线ADC进行仿真,结果表明,当输入信号频率为4.760 5 MHz时,经过校准,流水线ADC的有效位和无杂散动态范围分别由9.37位和59.96 dB提高到15.32位和99.55 dB。进一步的FPGA硬件验证结果表明,流水线ADC的有效位和无杂散动态范围分别为12.73位和98.62 dB,初步验证了该校准算法的可行性。     

A digitally self-calibrating 14-bit 10-MHz CMOS pipelined A/Dconverter

A digitally self-calibrating pipelined analog-to-digital converter (ADC) featuring 1.5-bit/stage structure is presented. The integral (INL) and differential nonlinearity (DNL) errors are removed using a novel digital calibration algorithm, which also eliminates missing codes that can occur with other calibration algorithms near the extremes of the input range. After calibration, the measured DNL is ±0.6 LSB and the INL is ±2.5 LSB at the 14-bit level. Sampling at a 10-MHz rate, the chip dissipates 220 mW and (post-calibration) yields a signal-to-noise ratio of 77 dB and a spurious-free dynamic range of 95 dB with 4.8-MHz sine wave input signal. The chip is fabricated in 0.5-μm CMOS double-poly double-metal process, measures 3.8 mm × 3.3 mm (150 mil × 130 mil), and operates from a single 5-V supply     

Nested Digital Background Calibration of a 12-bit Pipelined ADC Without an Input SHA

To reduce power dissipation, the input sample-and-hold amplifier (SHA) is eliminated in a pipelined analog-to-digital converter (ADC) with nested background calibration. The nested architecture calibrates the pipelined ADC with an algorithmic ADC that is also calibrated. Without an input SHA, a timing difference between the sampling instants of the two ADCs creates an error that interferes with calibration of the pipelined ADC. This problem is overcome with digital background timing compensation. It uses a differentiator with fixed coefficients to build an adaptive interpolator. With a 58-kHz sinusoidal input, the 12-bit 20-Msample/s pipelined ADC achieves a signal-to-noise-and-distortion ratio (SNDR) of 70.2 dB, a spurious-free dynamic range (SFDR) of 80.3 dB, and an integral nonlinearity (INL) of 0.75 least significant bit (LSB). With a 9-MHz input, the SNDR is 64.2 dB, and the SFDR is 78.3 dB. About 2 million samples or 0.1 s are required for convergence. The prototype occupies 7.5 mm² in 0.35-mum CMOS and dissipates 231 mW from 3.3 V, which is 23 mW less than in a previous prototype with the input SHA.     

一款结合数字校正技术的流水线ADC设计

基于65 nm CMOS工艺、1.2 V供电电压,设计了一款结合偏移双通道技术的流水线模数转换器(analog-to-digital convertor,ADC)。芯片的测试结果表明,该校正方法有效地消除和补偿了电容失配、级间增益误差和放大器谐波失真对流水线ADC综合性能的制约。流水线ADC在125 MS/s采样率、3 MHz正弦波输入信号的情况下,信噪失真比(signal-and-noise distortionratio,SNDR)从校正前的28 dB提高到61 dB,无杂散动态范围(spurious-free dynamic range,SFDR)从校正前的37 dB提高到62 dB。ADC芯片的功耗为72 mW,面积为1.56 mm2。偏移双通道数字校正技术在计算机软件上实现,数字电路在65 nm CMOS工艺、125 MHz时钟下估计得出的功耗为12 mW,面积为0.21 mm2。     

MOSFET-only pipelined analogue-to-digital converters: non-linearity compensation by digital calibration

In this study, a 12-bit 65MS/s MOSFET-only pipelined analogue-to-digital converter (ADC) is successfully designed and implemented in 0.18 µm standard digital complementary metal–oxide–semiconductor (CMOS) technology. In the proposed ADC, constant capacitors of the analogue pipeline stages are replaced with anti-parallel depletion-mode metal–oxide–semiconductor (MOS) devices and their non-linearity is modelled and calibrated digitally. Simulations show that the proposed digital calibration algorithm improves the ADC signal-to-noise plus distortion ratio and spurious-free dynamic range from 43 dB and 44 dB to 70 dB and 78 dB, respectively.     

A Split-Based Digital Background Calibration Technique in Pipelined ADCs

A digital background calibration technique is proposed to correct gain errors in pipelined analog-to-digital converters (ADCs). The calibration technique performs the error estimation and the adaptive error correction based on the concept of split ADCs. With the 1- or 1.5-bit realization in pipelined stages, capacitor-mismatch errors can be merged with gain errors, and the proposed calibration technique can be utilized. Behavioral simulations show that the signal-to-noise-and-distortion ratio of a 12-bit pipelined ADC with an 8-bit gain accuracy and the capacitor mismatch $sigma = 0.125%$ can be improved from 56.4 to 73.8 dB. The calibration process converges in approximately 200 000 cycles.      

Digital background calibration of charge pump based pipelined ADC

In the presented work, digital background calibration of a charge pump based pipelined ADC is presented. A 10-bit 100 MS/s pipelined ADC is designed using TSMC 0.18 µm CMOS technology operating on a 1.8 V power supply voltage. A power efficient opamp-less charge pump based technique is chosen to achieve the desired stage voltage gain of 2 and digital background calibration is used to calibrate the inter-stage gain error. After calibration, the ADC achieves an SNDR of 66.78 dB and SFDR of 79.3 dB. Also, DNL improves to +0.6/–0.4 LSB and INL improves from +9.3/–9.6 LSB to within ±0.5 LSB, consuming 16.53 mW of power.     

An 11-Bit 45 MS/s Pipelined ADC With Rapid Calibration of DAC Errors in a Multibit Pipeline Stage

A technique to rapidly correct for both DAC and gain errors in the multibit first stage of an 11-bit pipelined ADC is presented. Using a dual-ADC based approach the digital background scheme is validated with a proof-of-concept prototype fabricated in a 1.8 V 0.18 CMOS process, where the calibration scheme improves the peak INL of the 45 MS/s ADC from 6.4 LSB to 1.1 LSB after calibration. The SNDR/SFDR is improved from 46.9 dB/48.9 dB to 60.1 dB/70 dB after calibration. Calibration is achieved in approximately 10⁴ clock cycles.     

A 12-bit 80-MSample/s pipelined ADC with bootstrapped digital calibration

This paper presents a prototype analog-to-digital converter (ADC) that uses a calibration algorithm to adaptively overcome constant closed-loop gain errors, closed-loop gain variation, and slew-rate limiting. The prototype consists of an input sample-and-hold amplifier (SHA) that can serve as a calibration queue, a 12-bit 80-MSample/s pipelined ADC, a digital-to-analog converter (DAC) for calibration, and an embedded custom microprocessor, which carries out the calibration algorithm. The calibration is bootstrapped in the sense that the DAC is used to calibrate the ADC, and the ADC is used to calibrate the DAC. With foreground calibration, test results show that the peak differential nonlinearity (DNL) is -0.09 least significant bits (LSB), and the peak integral nonlinearity (INL) is -0.24LSB. Also, the maximum signal-to-noise-and-distortion ratio (SNDR) and spurious-free dynamic range (SFDR) are 71.0 and 79.6dB with a 40-MHz sinusoidal input, respectively. The prototype occupies 22.6 mm/sup 2/ in a 0.25-/spl mu/m CMOS technology and dissipates 755 mW from a 2.5-V supply.     

采用分段平移技术校正流水线A/D转换器级间增益的方法

分析了流水线A/D转换器采样电容与反馈电容之间的增益失配,探究了运放有限增益与流水线残差输出及A/D转换器输出的关系,建立了精确的系统模型。通过建立14位流水线A/D转换器Verilog-A的行为级模型,在数字域对流水线A/D转换器输出数字码进行分段平移。在第一级级间增益误差达到±0.012 5时,校正前信噪比仅为62 dB,校正后信噪比提升到85 dB。提出的校正方法可有效补偿由流水线级间增益导致的数字输出不连续和线性度下降。     

一种用于16位流水线ADC的多比特子DAC电容失配校准方法

多比特子DAC的电容失配误差在流水线AIX:输出中引入非线性误差,不仅严重降低AEK、转换精腰.而且通常的校准技术无法对非线性误差进行校准.针对这种情况,本文提出了一种用于16位流水线ADC的多比特子DAC电容失配校准方法.该设计误差提取方案在流片后测试得到电容失配误差.进而计算不同输入情况下电容失配导致的MDAC输出误差,根据后级的误差补偿电路将误差转换为卡乏准码并存储在芯片中,对电容失配导致的流水级输出误差进行校准.仿真结果表明.卡《准后信噪失真比SINAD为93.34 dB.无杂散动态范围SFDR为117.86 dB,有效精度EN()B从12.63 bit提高到15.26 bit.     

A 12-Bit 200-MHz CMOS ADC

A pipelined ADC incorporates a blind LMS calibration algorithm to correct for capacitor mismatches, residue gain error, and op amp nonlinearity. The calibration applies 128 levels and their perturbed values, computing 128 local errors across the input range and driving the mean square of these errors to zero. Fabricated in 90-nm digital CMOS technology, the ADC achieves a DNL of 0.78 LSB, an INL of 1.7 LSB, and an SNDR of 62 dB at an analog input frequency of 91 MHz while consuming 348 mW from a 1.2 V supply.      

Inter-channel offset and gain mismatch correction for time-interleaved pipelined ADCs

This paper presents a digital background calibration technique to compensate inter-channel gain and offset errors in parallel, pipelined analog-to-digital converters (ADCs). By using an extra analog path, calibration of each ADC channel is done without imposing any changes on the digitizing structure, i.e., keeping each channel completely intact. The extra analog path is simplified using averaging and chopping concepts, and it is realized in a standard 0.18‐μm CMOS technology. The complexity of the analog part of the proposed calibration system is same for a different number of channels.Simulation results of a behavioral 12-bit, dual channel, pipelined ADC show that offset and gain error tones are improved from −56.5 and −58.3 dB before calibration to about −86.7 and −103 dB after calibration, respectively.