基于線下估計(jì)和線上補(bǔ)償?shù)臅r(shí)間交錯(cuò)采樣ADC失配誤差補(bǔ)償方法
doi: 10.11999/JEIT180098 cstr: 32379.14.JEIT180098
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西南交通大學(xué)信息科學(xué)與技術(shù)學(xué)院 ??成都 ??611756
Method for Compensating Distortion Created by Mismatch Errors in Time-interleaved ADCs Based on Offline Estimation and Online Correction
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School of Information Science and Technology, Southwest Jiaotong University, Chengdu 611756, China
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摘要:
該文提出一種改進(jìn)的時(shí)間交錯(cuò)采樣模數(shù)轉(zhuǎn)換器(TIADC)失配誤差補(bǔ)償方法。系統(tǒng)通過誤差參數(shù)和簡(jiǎn)化的拉格朗日插值算法分別實(shí)現(xiàn)了對(duì)偏置、增益的失配誤差補(bǔ)償和采樣時(shí)間的失配誤差補(bǔ)償。該補(bǔ)償方法在FPGA中采用低復(fù)雜度的定點(diǎn)運(yùn)算實(shí)現(xiàn),在TIADC硬件平臺(tái)中實(shí)現(xiàn)了對(duì)多通道ADC采樣數(shù)據(jù)的線上校正。實(shí)驗(yàn)結(jié)果表明:所提改進(jìn)方法在仿真環(huán)境下使無雜散動(dòng)態(tài)范圍提升了51 dB,并且在硬件實(shí)現(xiàn)過程中使SFDR優(yōu)化達(dá)45 dB。在保持失配誤差估計(jì)精度和補(bǔ)償效果優(yōu)良的前提下,該方法不僅降低了算法的計(jì)算復(fù)雜度,而且該補(bǔ)償結(jié)構(gòu)不受TIADC通道數(shù)目的限制。
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關(guān)鍵詞:
- 模數(shù)轉(zhuǎn)換器 /
- 時(shí)間交錯(cuò)采樣 /
- 失配誤差 /
- 補(bǔ)償結(jié)構(gòu) /
- 定點(diǎn)運(yùn)算
Abstract:A improved method is proposed for compensating the distortion created by mismatches in Time-Interleaved Analog-to-Digital Converters (TI ADCs). The error compensation of offset and gain is realized by error parameters, and the error compensation of sampling time is realized by the simplified Lagrange interpolation algorithm. The compensation method is implemented in FPGA with the low complexity of fixed-point algorithm, and the online calibration of multi-channel ADC sampling data is implemented in the TIADC hardware platform. The experimental results show that the proposed method improves the Spurious-Free Dynamic Range (SFDR) of sampling data up to 51 dB in the simulation environment, and optimizes the SFDR up to 45 dB in the process of hardware implementation. Under the premise of maintaining the error estimation precision and compensation effect, this method not only reduces the computational complexity of the algorithm, but also the compensation structure is not limited by the number of TIADC channels.
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表 1 失配誤差的真實(shí)值與估計(jì)值
ADC通道 ADC1 ADC2 ADC3 ADC4 ADC5 ADC6 ADC7 ADC8 G 1.04440 0.95730 0.96170 1.02140 1.00460 0.97110 1.04570 1.02500 $\widehat G$ 1.04440 0.95723 0.96150 1.02137 1.00456 0.97081 1.04555 1.02493 O 0.02130 –0.01120 0.04290 0.02940 0.01250 0.02600 –0.03320 –0.03170 $\widehat O$ 0.02130 –0.01119 0.04292 0.02940 0.01251 0.02599 –0.03320 –0.03169 T (ps) 0 502 –877 324 –415 1109 757 –496 $\widehat T\; {\rm{(ps)}}$ 2 503 –879 324 –417 1112 758 –498 下載: 導(dǎo)出CSV
下載: 導(dǎo)出CSV
表 3 硬件補(bǔ)償電路的FPGA片上邏輯資源消耗情況
資源類型 總組合功能 專用邏輯寄存器 18 bit嵌入式乘法器 存儲(chǔ)容量 資源消耗情況 111/8256 98/8256 5/18 0/165888 下載: 導(dǎo)出CSV
表 4 偏置、增益和采樣時(shí)間失配誤差估計(jì)值
ADC通道 ADC1 ADC2 $\widehat G$ 1.061100 1.061900 $\widehat O\;\left( {\rm{V}} \right)$ –0.057000 0.000053 $\widehat T\;\left( {\rm{ns}} \right)$ 1.191200 1.424300 下載: 導(dǎo)出CSV
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