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TWI454066B - Multiplying digital-to-analog converter for use in a pipelined analog-to-digital converter - Google Patents

Multiplying digital-to-analog converter for use in a pipelined analog-to-digital converter Download PDF

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TWI454066B
TWI454066B TW100106944A TW100106944A TWI454066B TW I454066 B TWI454066 B TW I454066B TW 100106944 A TW100106944 A TW 100106944A TW 100106944 A TW100106944 A TW 100106944A TW I454066 B TWI454066 B TW I454066B
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capacitor
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TW201238259A (en
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Chih Haur Huang
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Himax Media Solutions Inc
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用於管線式類比至數位轉換器之乘積數位至類比轉換器Product Digital to Analog Converter for Pipeline Analog to Digital Converter

本發明相關於一種用於管線式類比至數位轉換器之乘積數位至類比轉換器,尤指一種用於管線式類比至數位轉換器且利用補償電容來減少功率消耗之乘積數位至類比轉換器。The present invention relates to a product digital to analog converter for a pipeline analog to digital converter, and more particularly to a product digital to analog converter for a pipeline analog to digital converter that utilizes a compensation capacitor to reduce power consumption.

管線式類比至數位轉換器(pipelined analog-to-digital converter)兼具高取樣速率及高解析度的優點,常應用於視訊影像系統、數位用戶迴路(digital subscriber loop)、超音波醫療影像應用、數位接收器、快速乙太網,或無線通訊系統中。一般來說,管線式類比至數位轉換器之運作包含取樣(sample)和保持(hold)兩個階段,常以切換電容的技術來實現。The pipeline analog-to-digital converter combines the advantages of high sampling rate and high resolution, and is often used in video imaging systems, digital subscriber loops, and ultrasonic medical imaging applications. Digital receiver, fast Ethernet, or wireless communication system. In general, the operation of a pipeline analog to digital converter includes two stages of sampling and hold, often implemented by switching capacitor technology.

第1圖為一管線式類比至數位轉換器100之功能方塊圖。管線式類比至數位轉換器100包含一取樣和保持放大器(sample-and-hold amplifier)SHA、複數級管線階段(pipeline stage)電路ST1 ~STn (n為正整數),以及一邏輯修正電路10。管線式類比至數位轉換器100可將一類比輸入訊號DIN 轉換成一數位輸出訊號DOUT 。若管線式類比至數位轉換器100的解析度為N位元,代表數位輸出訊號DOUT 為N位元資料,而所需管線階段電路ST1~STn之數目和其精確度(precision)有關。FIG. 1 is a functional block diagram of a pipeline analog to digital converter 100. The pipeline analog to digital converter 100 includes a sample-and-hold amplifier SHA, a plurality of pipeline stage circuits ST 1 to ST n (n is a positive integer), and a logic correction circuit. 10. The pipeline analog to digital converter 100 converts a analog input signal D IN into a digital output signal D OUT . If the resolution of the pipeline analog to digital converter 100 is N bits, the representative digital output signal D OUT is N-bit data, and the number of required pipeline stage circuits ST1 to STn is related to its precision.

取樣和保持放大器SHA為管線式類比至數位轉換器100的起始級,用來取樣類比輸入訊號DIN ,再將取樣得到之類比輸入訊號V1 輸出至第一級管線階段電路ST1 以作其輸入訊號。依據其預設的精確度,每一級管線階段電路會分別依據其類比輸入訊號來產生下一級管線階段電路之類比輸入訊號,並輸出對應於本身類比輸入訊號之數位碼至邏輯修正電路10。以N-2的精確度為例,第j級管線階段電路STj 會先將類比輸入訊號Vj 數位化,減去兩位元後再將剩餘值(residue)轉換為下一級類比輸入訊號Vj+1 (j+1為介於1和n之間的正整數),並將減去的兩位元數位碼Mj 輸出至邏輯修正電路10,其中一位元作為解析之用,而另一位元則作為錯誤修正之用。依此類推,第n級管線階段電路STn 會先將類比輸入訊號Vn 數位化,再將減去的兩位元數位碼Mn 輸出至邏輯修正電路10,其中一位元作為解析之用,而另一位元則作為錯誤修正之用。The sample and hold amplifier SHA is a pipeline analog to the initial stage of the digital converter 100, and is used for sampling the analog input signal D IN , and then outputting the sampled analog input signal V 1 to the first stage pipeline stage circuit ST 1 for use. Its input signal. According to its preset accuracy, each stage pipeline stage circuit generates an analog input signal of the next stage pipeline stage circuit according to its analog input signal, and outputs a digital code corresponding to its analog input signal to the logic correction circuit 10. Taking the accuracy of N-2 as an example, the j-th pipeline stage circuit ST j first digitizes the analog input signal V j , subtracts two bits and then converts the residual value to the next-level analog input signal V. j+1 (j+1 is a positive integer between 1 and n), and the subtracted two-digit number bit code M j is output to the logic correction circuit 10, wherein one bit is used for parsing, and the other One element is used as a bug fix. And so on, the n-stage pipeline stage n ST circuit analog input signal V will first number of n bits, then two yuan subtracting digit code of M n to the logic output correction circuit 10, where as the analysis only one yuan And another bit is used as a bug fix.

第2圖為用於管線式類比至數位轉換器100之一第j級管線階段電路STj 的功能方塊圖。管線階段STj 包含一乘積數位至類比轉換器(multiplying digital-to-analog converter)MDAC和一子類比至數位轉換器(sub analog-to-digital converter)S_ADC。乘積數位至類比轉換器MDAC包含一子數位至類比轉換器(sub digital-to-analog converter)S_DAC、一運算放大器OP,和一邏輯運算單元20。子類比至數位轉換器S_ADC可將類比輸入訊號Vj 轉換成兩位元數位碼Mj ,再將兩位元數位碼Mj 輸出至子數位至類比轉換器S_DAC以及第1圖中的邏輯修正電路10(第2圖中未顯示)。子數位至類比轉換器S_DAC可將兩位元數位碼Mj 轉換成一類比參考訊號VRj 後輸出至邏輯運算單元20。透過邏輯運算單元20可得到類比輸入訊號Vj 減去類比參考訊號VRj 後之值,使得運算放大器OP能依此產生第(j+1)級管線階段電路STj+1 運作所需之類比輸入訊號Vj+1 。第1圖中其它各級管線階段電路之功能、結構與運作皆相同,在此不另加贅述。2 is a functional block diagram of a j-th stage pipeline stage circuit ST j for one of the pipeline analog to digital converters 100. The pipeline stage ST j includes a multiplying digital-to-analog converter MDAC and a sub analog-to-digital converter S_ADC. The product digital to analog converter MDAC includes a sub digital-to-analog converter S_DAC, an operational amplifier OP, and a logic operation unit 20. The sub- analog to digital converter S_ADC converts the analog input signal V j into a two-digit digital code M j , and then outputs the two-digit digital code M j to the sub-digit to the analog converter S_DAC and the logic correction in FIG. Circuit 10 (not shown in Figure 2). The sub-digit to analog converter S_DAC can convert the two-digit number bit code M j into an analog reference signal VR j and output it to the logic operation unit 20. The analog operation signal 20 can obtain the analog input signal V j minus the value of the analog reference signal VR j , so that the operational amplifier OP can generate the analogy required for the operation of the (j+1)-stage pipeline stage circuit ST j+1 . Enter the signal V j+1 . The functions, structures and operations of the other stages of the pipeline stages in Figure 1 are the same, and are not described here.

先前技術之乘積數位至類比轉換器MDAC包含一回授電容CF 、一輸入電容CI 和運算放大器OP。第3A圖為先前技術之乘積數位至類比轉換器MDAC在取樣階段運作時之等效電路圖,此時運算放大器OP之正輸入端和負輸入端耦接至一共同訊號VCOM ,而回授電容CF 和輸入電容CI 皆耦接於類比輸入訊號Vj 和運算放大器OP之負輸入端之間。因此,回授電容CF 和輸入電容CI 會對類比輸入訊號Vj 進行取樣。假設共同訊號VCOM 為接地電位,取樣階段所儲存電荷QS 之值如下:The prior art multiplier-to-analog converter MDAC includes a feedback capacitor C F , an input capacitor C I and an operational amplifier OP. Figure 3A is an equivalent circuit diagram of the prior art multiplier-to-analog converter MDAC operating in the sampling phase, in which the positive input and the negative input of the operational amplifier OP are coupled to a common signal V COM , and the feedback capacitor Both the C F and the input capacitor C I are coupled between the analog input signal V j and the negative input terminal of the operational amplifier OP. Therefore, the feedback capacitor C F and the input capacitor C I sample the analog input signal V j . Assuming that the common signal V COM is the ground potential, the value of the charge Q S stored in the sampling phase is as follows:

QS =Vj *(CF +CI )Q S =V j *(C F +C I )

第3B圖為先前技術之乘積數位至類比轉換器MDAC在保持階段運作時之等效電路圖,此時回授電容CF 耦接運算放大器OP之負輸入端和輸出端之間,而輸入電容CI 耦接於類比參考訊號VRj 和運算放大器OP之負輸入端之間。在保持階段運作時,運算放大器OP之負輸入端可視為虛接地電位,因此保持階段時所儲存電荷QH 之值如下:Figure 3B is an equivalent circuit diagram of the prior art multiplier-to-analog converter MDAC operating in the hold phase, where the feedback capacitor C F is coupled between the negative input and the output of the operational amplifier OP, and the input capacitor C I is coupled between the analog reference signal VR j and the negative input terminal of the operational amplifier OP. When operating in the hold phase, the negative input of the op amp OP can be considered a virtual ground potential, so the value of the stored charge Q H during the hold phase is as follows:

QH =Yj+1 *CF +VRj *CI Q H =Y j+1 *C F +VR j *C I

依據能量守衡原理,QS =QH ,因此:According to the principle of energy balance, Q S =Q H , therefore:

Vj+1 =[Vj *(CF +CI )-VRj *CI ]/CF V j+1 =[V j *(C F +C I )-VR j *C I ]/C F

若CF =CIIf C F =C I

Vj+1 =2Vj -VRj V j+1 =2V j -VR j

一般來說,乘積數位至類比轉換器MDAC會使用相同電容值之回授電容CF 和輸入電容CI ,因此運算放大器OP之回授因數(feedback factor)僅約為0.5,往往需要將運算放大器OP之單位增益頻寬(unit-gain bandwidth)設計為較大值,但如此會增加管線式類比至數位轉換器之功率消耗。In general, the multiplier-to-analog converter MDAC uses the feedback capacitor C F and the input capacitor C I of the same capacitance value, so the feedback factor of the op amp OP is only about 0.5, and the op amp is often required. The unit-gain bandwidth of the OP is designed to be large, but this increases the power consumption of the pipeline analog to digital converter.

本發明提供一種用於一管線式類比至數位轉換器中的一相乘數位至類比轉換器,該相乘數位至類比轉換器包含有一放大器,其包含一第一輸入端和一第一輸出端;一第一回授電容,其第一端選擇性地耦接於一第一輸入訊號或該放大器的第一輸出端,而其第二端耦接至該放大器的第一輸入端或一共同訊號;一第一輸入電容,其第一端選擇性地耦接於該第一輸入訊號或該共同訊號,而其第二端選擇性地電性連接至該放大器的第一輸入端或該共同訊號;一第一補償電容,其第一端選擇性地耦接於一第一參考訊號或該共同訊號,而其第二端耦接於該第一輸入電容之第二端。於一第一取樣階段時,該第一回授電容係耦接於該第一輸入訊號和該共同訊號之間,該第一輸入電容係耦接於該第一輸入訊號與該共同訊號之間,該第一補償電容的第一端係耦接於該共同訊號以重置該第一補償電容;於一第二取樣階段時,該第一回授電容係耦接於該第一輸入訊號和該共同訊號之間,該第一輸入電容係耦接於該第一輸入訊號與該共同訊號之間,該第一補償電容的第一端係耦接於該第一參考訊號;於一第一保持階段時,該第一回授電容係耦接於該放大器的第一輸入端和該放大器的第一輸出端之間,該第一輸入電容的第一端係耦接於該共同訊號,且藉由一第一開關使該第一輸入電容的第二端耦接於該放大器的第一輸入端,而該第一補償電容係並聯於該第一輸入電容;且於一第二保持階段時,該第一回授電容係耦接於該放大器的第一輸入端和該放大器的第一輸出端之間,該第一輸入電容的第一端係耦接於該共同訊號,且藉由該第一開關使該第一輸入電容的第二端與該放大器的第一輸入端為電性分離,而該第一補償電容係並聯於該第一輸入電容。The present invention provides a multiplying-to-analog converter for use in a pipeline analog to digital converter, the multiplying digital to analog converter comprising an amplifier including a first input and a first output a first feedback capacitor having a first end selectively coupled to a first input signal or a first output of the amplifier, and a second end coupled to the first input of the amplifier or a common a first input capacitor, the first end of which is selectively coupled to the first input signal or the common signal, and the second end of which is selectively electrically coupled to the first input of the amplifier or the common The first compensation terminal has a first end selectively coupled to a first reference signal or the common signal, and a second end coupled to the second end of the first input capacitor. The first feedback capacitor is coupled between the first input signal and the common signal, and the first input capacitor is coupled between the first input signal and the common signal. The first compensation capacitor is coupled to the common signal to reset the first compensation capacitor. In a second sampling phase, the first feedback capacitor is coupled to the first input signal and The first input capacitor is coupled between the first input signal and the common signal, and the first end of the first compensation capacitor is coupled to the first reference signal; The first feedback capacitor is coupled between the first input end of the amplifier and the first output end of the amplifier, and the first end of the first input capacitor is coupled to the common signal, and The first input capacitor is coupled to the first input end of the amplifier by a first switch, and the first compensation capacitor is coupled to the first input capacitor; and in a second hold phase The first feedback capacitor is coupled to the first input of the amplifier The first end of the first input capacitor is coupled to the common signal, and the second end of the first input capacitor is coupled to the amplifier by the first switch An input is electrically separated, and the first compensation capacitor is connected in parallel to the first input capacitor.

本發明之乘積數位至類比轉換器MDAC可用於管線式類比至數位轉換器100中之第j級管線階段電路STj,其包含一回授電容CF 、一輸入電容CI 、一補償電容CP ,和一運算放大器OP。每一級管線階段電路之週期包含四個階段:第一取樣階段、第二取樣階段、第一保持階段,以及第二保持階段。The multiplier-to-analog converter of the present invention can be used in the j-stage pipeline stage circuit STj of the pipeline analog-to-digital converter 100, and includes a feedback capacitor C F , an input capacitor C I , and a compensation capacitor C P . , and an operational amplifier OP. The cycle of each stage of the pipeline stage circuit comprises four phases: a first sampling phase, a second sampling phase, a first holding phase, and a second holding phase.

第4A圖為本發明乘積數位至類比轉換器MDAC在第一取樣階段運作時之等效電路圖,此時回授電容CF 和輸入電容CI 皆耦接於類比輸入訊號Vj 和運算放大器OP之負輸入端之間,補償電容CP 耦接於一共同訊號VCOM 和運算放大器OP之負輸入端之間,而運算放大器OP之正輸入端和負輸入端耦接至共同訊號VCOM 。在第一取樣階段時,補償電容CP 進行重置,因此能清除補償電容CP 之內存電荷,而回授電容CF 和輸入電容CI 會對類比輸入訊號Vj 進行取樣。4A is an equivalent circuit diagram of the multi-digit to analog converter MDAC in the first sampling phase of the present invention, wherein the feedback capacitor C F and the input capacitor C I are coupled to the analog input signal V j and the operational amplifier OP The compensation capacitor C P is coupled between a common signal V COM and a negative input terminal of the operational amplifier OP, and the positive input terminal and the negative input terminal of the operational amplifier OP are coupled to the common signal V COM . During the first sampling phase, the compensation capacitor C P is reset, so that the memory charge of the compensation capacitor C P can be cleared, and the feedback capacitor C F and the input capacitor C I sample the analog input signal V j .

第4B圖為本發明乘積數位至類比轉換器MDAC在第二取樣階段運作時之等效電路圖,此時回授電容CF 和輸入電容CI 皆耦接於類比輸入訊號Vj 和運算放大器OP之負輸入端之間,補償電容CP 耦接於參考訊號VRj 和運算放大器OP之負輸入端之間,而運算放大器OP之正輸入端和負輸入端耦接至共同訊號VCOM 。一子類比至數位轉換器S_ADC(第2圖)將類比輸入訊號Vj 轉換成一數位碼Mj ,子類比至數位轉換器S_DAC再依據數位碼Mj 來產生參考訊號VRj 。其中參考訊號VRj 可根據數位碼從一組電壓(+ΔV,VCOM,-ΔV)中,選取一電壓當參考訊號VRj (如第6圖所示)。在第二取樣階段時,此時參考訊號VRj 會對補償電容CP 進行充電或放電,而回授電容CF 和輸入電容CI 會對類比輸入訊號Vj 進行取樣。假設共同訊號VCOM 為接地電位,第二取樣階段所儲存電荷QS ’之值如下:4B is an equivalent circuit diagram of the multi-digit to analog converter MDAC in the second sampling stage of the present invention, in which the feedback capacitor C F and the input capacitor C I are coupled to the analog input signal V j and the operational amplifier OP Between the negative input terminals, the compensation capacitor C P is coupled between the reference signal VR j and the negative input terminal of the operational amplifier OP, and the positive input terminal and the negative input terminal of the operational amplifier OP are coupled to the common signal V COM . A sub-analog-to-digital converter S_ADC (FIG. 2) to convert the analog input signal V j into a digital code M j, the sub-analog-to-digital converter S_DAC then based on the digital code M j to generate a reference signal VR j. The reference signal VR j may select a voltage from a set of voltages (+ΔV, VCOM, -ΔV) according to the digital code as the reference signal VR j (as shown in FIG. 6). In the second sampling phase, the reference signal VR j charges or discharges the compensation capacitor C P , and the feedback capacitor C F and the input capacitor C I sample the analog input signal V j . Assuming that the common signal V COM is the ground potential, the value of the stored charge Q S ' in the second sampling phase is as follows:

QS ’=Vj *(CF +CI )+VRj *CP Q S '=V j *(C F +C I )+VR j *C P

第4C圖為本發明乘積數位至類比轉換器MDAC在第一保持階段運作時之等效電路圖,此時回授電容CF 耦接於運算放大器OP之負輸入端和輸出端之間,輸入電容CI 和補償電容CP 皆耦接於共同訊號VCOM 和運算放大器OP之負輸入端之間。在第一保持階段運作時,運算放大器OP之負輸入端可視為虛接地電位,因此輸入電容CI 和補償電容CP 之內存電荷移至回授電容CF 進行充電。4C is an equivalent circuit diagram of the multi-digit to analog converter MDAC in the first hold phase of the present invention, wherein the feedback capacitor C F is coupled between the negative input terminal and the output terminal of the operational amplifier OP, and the input capacitor Both C I and the compensation capacitor C P are coupled between the common signal V COM and the negative input terminal of the operational amplifier OP. During the first hold phase, the negative input of the operational amplifier OP can be regarded as a virtual ground potential, so the memory charge of the input capacitor C I and the compensation capacitor C P is transferred to the feedback capacitor C F for charging.

第4D圖為本發明乘積數位至類比轉換器MDAC在第二保持階段運作時之等效電路圖,此時回授電容CF 耦接於運算放大器OP之負輸入端和輸出端之間,輸入電容CI 和補償電容CP 彼此並聯但和運算放大器OP之負輸入端為電性分離(可藉由一開關使之電性分離)。因此,回授電容CF 之內存電荷能提供第(j+1)級管線階段電路STj+1 運作所需之類比輸入訊號Vj+1 ,其中第二保持階段時所儲存電荷QH ’之值如下:4D is an equivalent circuit diagram of the multi-digit to analog converter MDAC in the second hold phase of the present invention, wherein the feedback capacitor C F is coupled between the negative input terminal and the output terminal of the operational amplifier OP, and the input capacitor C I and the compensation capacitor C P are connected in parallel with each other but are electrically separated from the negative input terminal of the operational amplifier OP (which can be electrically separated by a switch). Thus, the feedback charge capacitance C F of the memory provides the first (j + 1) stage of the pipeline stage ST j + 1 required for the circuit operation of the analog input signal V j + 1, wherein Q H the charge stored in the second holding stage ' The values are as follows:

QH ’=Vj+1 *CF Q H '=V j+1 *C F

依據能量守衡原理,QS ’=QH ’,因此:According to the principle of energy balance, Q S '=Q H ', therefore:

Vj+1 =Vj *(CF +CI )/CF +VRj *CP /CF V j+1 =V j *(C F +C I )/C F +VR j *C P /C F

如上所示,本發明之乘積數位至類比轉換器MDAC能利用補償電容CP 來提高運算放大器OP之回授因數(β=1),降低運算放大器OP所需之單位增益頻寬,因此能減少管線式類比至數位轉換器之功率消耗。As shown above, the multiplier-to-analog converter of the present invention can utilize the compensation capacitor C P to increase the feedback factor of the operational amplifier OP (β=1) and reduce the unity gain bandwidth required by the operational amplifier OP, thereby reducing Pipeline analog to power consumption of digital converters.

第5圖為本發明一實施例中乘積數位至類比轉換器MDAC之示意圖。透過在不同時間點開啟或關閉相對應的開關,即能達到第4A圖至第4D圖所示四個階段的運作。第5圖所示僅為為本發明乘積數位至類比轉換器MDAC之一實施例,並不限定本發明之範疇。Figure 5 is a schematic diagram of a multiplicative digital to analog converter MDAC in accordance with one embodiment of the present invention. By turning the corresponding switch on or off at different points in time, the four stages shown in Figures 4A through 4D can be achieved. Fig. 5 is only an embodiment of the multiplicative digital to analog converter MDAC of the present invention, and does not limit the scope of the present invention.

在本發明其它實施例中,乘積數位至類比轉換器MDAC亦可為一差動切換電容電壓倍增器(differential switched capacitor voltage doubler),其利用兩組回授電容、兩組輸入電容和兩組補償電容來將一差動類比輸入訊號VjP 及VjN 轉換成差動數位輸出訊號Vj+1P 及Vj+1N (如第7圖),其中參考電壓VRjP 和VRjN 為一共軛關係。In other embodiments of the present invention, the multiplicative digital to analog converter MDAC can also be a differential switched capacitor voltage doubler that utilizes two sets of feedback capacitors, two sets of input capacitors, and two sets of compensation. The capacitor converts a differential analog input signal V jP and V jN into differential digital output signals V j+1P and V j+1N (as shown in FIG. 7 ), wherein the reference voltages VR jP and VR jN are in a conjugate relationship.

綜上所述,本發明之乘積數位至類比轉換器MDAC能利用回授電容CF 、輸入電容CI 和補償電容CP 來切換四個階段的運作,並可利用補償電容CP 來提高運算放大器OP之回授因數以減少管線式類比至數位轉換器之功率消耗。In summary, the multiplier-to-analog converter of the present invention can switch the four-stage operation by using the feedback capacitor C F , the input capacitor C I and the compensation capacitor C P , and can improve the operation by using the compensation capacitor C P . The feedback factor of the amplifier OP reduces the power consumption of the pipeline analog to digital converter.

以上所述僅為本發明之較佳實施例,凡依本發明申請專利範圍所做之均等變化與修飾,皆應屬本發明之涵蓋範圍。The above are only the preferred embodiments of the present invention, and all changes and modifications made to the scope of the present invention should be within the scope of the present invention.

10...邏輯修正電路10. . . Logic correction circuit

20...邏輯運算單元20. . . Logical unit

100...管線式類比至數位轉換器100. . . Pipeline analog to digital converter

OP...運算放大器OP. . . Operational Amplifier

CF ...回授電容C F . . . Feedback capacitor

CI ...輸入電容C I . . . Input capacitance

CP ...補償電容C P . . . Compensation capacitor

SHA...取樣和保持放大器SHA. . . Sample and hold amplifier

MDAC...乘積數位至類比轉換器MDAC. . . Product digit to analog converter

S_ADC...子類比至數位轉換器S_ADC. . . Sub-class to digital converter

S_DAC...子數位至類比轉換器S_DAC. . . Sub-digit to analog converter

STj 、ST1 ~STn ...管線階段電路ST j , ST 1 to ST n . . . Pipeline phase circuit

第1圖為一管線式類比至數位轉換器之功能方塊圖。Figure 1 is a functional block diagram of a pipeline analog to digital converter.

第2圖為用於管線式類比至數位轉換器之一管線階段電路的功能方塊圖。Figure 2 is a functional block diagram of a pipeline stage circuit for a pipeline analog to digital converter.

第3A圖為先前技術之乘積數位至類比轉換器在取樣階段運作時之等效電路圖。Figure 3A is an equivalent circuit diagram of the prior art multiplier to analog converter operating during the sampling phase.

第3B圖為先前技術之乘積數位至類比轉換器在保持階段運作時之等效電路圖。Figure 3B is an equivalent circuit diagram of the prior art multiplier to analog converter operating in the hold phase.

第4A圖為本發明之乘積數位至類比轉換器在第一取樣階段運作時之等效電路圖。Figure 4A is an equivalent circuit diagram of the multiplicative digital to analog converter of the present invention operating in the first sampling phase.

第4B圖為本發明之乘積數位至類比轉換器在第二取樣階段運作時之等效電路圖。Figure 4B is an equivalent circuit diagram of the multiplicative digital to analog converter of the present invention operating in the second sampling stage.

第4C圖為本發明之乘積數位至類比轉換器在第二保持階段運作時之等效電路圖。Figure 4C is an equivalent circuit diagram of the multiplicative digital to analog converter of the present invention operating in the second hold phase.

第4D圖為本發明之乘積數位至類比轉換器在第二保持階段運作時之等效電路圖。Figure 4D is an equivalent circuit diagram of the multiplicative digital to analog converter of the present invention operating in the second hold phase.

第5圖為本發明一實施例中乘積數位至類比轉換器之示意圖。Figure 5 is a schematic diagram of a multiplicative digital to analog converter in accordance with one embodiment of the present invention.

第6圖為本發明中子類比至數位轉換器之示意圖。Figure 6 is a schematic diagram of a neutron analog to digital converter of the present invention.

第7圖為本發明一實施例中乘積數位至類比轉換器之示意圖。器。Figure 7 is a schematic diagram of a multiplicative digital to analog converter in accordance with one embodiment of the present invention. Device.

OP...運算放大器OP. . . Operational Amplifier

CF ...回授電容C F . . . Feedback capacitor

CI ...輸入電容C I . . . Input capacitance

CP ...補償電容C P . . . Compensation capacitor

S_DAC...子數位至類比轉換器S_DAC. . . Sub-digit to analog converter

Claims (6)

一種用於一管線式類比至數位轉換器(pipelined analog-to-digital converter)中的一相乘數位至類比轉換器(multiplying digital-to-analog converter,MDAC),該相乘數位至類比轉換器包含有:一放大器,其包含一第一輸入端和一第一輸出端;一第一回授電容,其第一端選擇性地耦接於一第一輸入訊號或該放大器的第一輸出端,而其第二端耦接至該放大器的第一輸入端或一共同訊號;一第一輸入電容,其第一端選擇性地耦接於該第一輸入訊號或該共同訊號,而其第二端選擇性地電性連接至該放大器的第一輸入端或該共同訊號;以及一第一補償電容,其第一端選擇性地耦接於一第一參考訊號或該共同訊號,而其第二端耦接於該第一輸入電容之第二端,其中:於一第一取樣階段時,該第一回授電容係耦接於該第一輸入訊號和該共同訊號之間,該第一輸入電容係耦接於該第一輸入訊號與該共同訊號之間,該第一補償電容的第一端係耦接於該共同訊號以重置該第一補償電容;於一第二取樣階段時,該第一回授電容係耦接於該第一輸入訊號和該共同訊號之間,該第一輸入電容係耦接於該第一輸入訊號與該共同訊號之間,該第一補償電容的第一端係耦接於該第一參考訊號;於一第一保持階段時,該第一回授電容係耦接於該放大器的第一輸入端和該放大器的第一輸出端之間,該第一輸入電容的第一端係耦接於該共同訊號,且藉由一第一開關使該第一輸入電容的第二端耦接於該放大器的第一輸入端,而該第一補償電容係並聯於該第一輸入電容;且於一第二保持階段時,該第一回授電容係耦接於該放大器的第一輸入端和該放大器的第一輸出端之間,該第一輸入電容的第一端係耦接於該共同訊號,且藉由該第一開關使該第一輸入電容的第二端與該放大器的第一輸入端為電性分離,而該第一補償電容係並聯於該第一輸入電容。A multiplying digital-to-analog converter (MDAC) for use in a pipelined analog-to-digital converter, the multiplier-to-analog converter The method includes an amplifier including a first input end and a first output end, and a first feedback capacitor, the first end of which is selectively coupled to a first input signal or the first output end of the amplifier And the second end is coupled to the first input end of the amplifier or a common signal; a first input capacitor, the first end of which is selectively coupled to the first input signal or the common signal, and the first The second end is selectively electrically coupled to the first input of the amplifier or the common signal; and a first compensation capacitor, the first end of which is selectively coupled to a first reference signal or the common signal, and The second end is coupled to the second end of the first input capacitor, wherein the first feedback capacitor is coupled between the first input signal and the common signal during a first sampling phase, the first An input capacitor is coupled to the first input Between the signal and the common signal, the first end of the first compensation capacitor is coupled to the common signal to reset the first compensation capacitor; and in a second sampling phase, the first feedback capacitor is coupled Between the first input signal and the common signal, the first input capacitor is coupled between the first input signal and the common signal, and the first end of the first compensation capacitor is coupled to the first a first feedback capacitor is coupled between the first input end of the amplifier and the first output end of the amplifier, and the first end of the first input capacitor is coupled Connected to the common signal, and the second end of the first input capacitor is coupled to the first input end of the amplifier by a first switch, and the first compensation capacitor is connected in parallel with the first input capacitor; The first feedback capacitor is coupled between the first input end of the amplifier and the first output end of the amplifier, and the first end of the first input capacitor is coupled to the first input capacitor a common signal, and the first input capacitor is used by the first switch Ends with a first input terminal of the amplifier is electrically isolated, and the first compensation capacitor connected in parallel to the first line input capacitance. 如請求項1所述之相乘數位至類比轉換器,其中該第一參考訊號係根據一子類比至數位轉換器(sub analog-to-digital converter)的輸出結果來決定,其中該子類比至數位轉換器係用來將該第一輸入訊號轉換成一數位碼,再依據該數位碼來產生該第一參考訊號。The multiplied digit to the analog converter as claimed in claim 1, wherein the first reference signal is determined according to an output result of a sub analog-to-digital converter, wherein the sub-class is The digital converter is configured to convert the first input signal into a digital code, and then generate the first reference signal according to the digital code. 如請求項1所述之相乘數位至類比轉換器,其中該第一回授電容之值、該第一補償電容和該第一輸入電容之值實質上相等。The multiplicative digits of claim 1 to the analog converter, wherein the values of the first feedback capacitor, the first compensation capacitor, and the first input capacitor are substantially equal. 如請求項1所述之相乘數位至類比轉換器,其中該放大器另包含一第二輸入端和一第二輸出端,該放大器之第一輸入端和第二輸入端為相對應之差動輸入,該放大器之第一輸出端和第二輸出端為相對應之差動輸出,且該相乘數位至類比轉換器另包含:一第二回授電容,其第一端選擇性地耦接於一第二輸入訊號或該放大器的第二輸出端,而其第二端耦接至該放大器的第二輸入端或該共同訊號,其中該第一輸入訊號和該第二輸入訊號係為相對應之差動訊號,而該子類比至數位轉換器另用來將該第二輸入訊號轉換成一第二數位碼,再依據該第二數位碼來產生一第二參考訊號;一第二輸入電容,其第一端選擇性地耦接於該第二輸入訊號或該共同訊號,而其第二端選擇性地電性連接至該放大器的第二輸入端或該共同訊號;以及一第二補償電容,其第一端選擇性地耦接於該第二參考訊號或該共同訊號,而其第二端耦接於該第二輸入電容之第二端,其中:於該第一取樣階段時,該第二回授電容係耦接於該第二輸入訊號和該共同訊號之間,該第二輸入電容係耦接於該第二輸入訊號與該共同訊號之間,該第二補償電容的第一端係耦接於該共同訊號以重置該第二補償電容;於該第二取樣階段時,該第二回授電容係耦接於該第二輸入訊號和該共同訊號之間,該第二輸入電容係耦接於該第二輸入訊號與該共同訊號之間,該第二補償電容的第一端係耦接於該第二參考訊號;於該第一保持階段時,該第二回授電容係耦接於該放大器的第二輸入端和該放大器的第二輸出端之間,該第二輸入電容的第一端係耦接於該共同訊號,且藉由一第二開關使該第二輸入電容的第二端耦接於該放大器的第二輸入端,而該第二補償電容係並聯於該第二輸入電容;且於該第二保持階段時,該第二回授電容係耦接於該放大器的第二輸入端和該放大器的第二輸出端之間,該第二輸入電容的第一端係耦接於該共同訊號,且藉由該第二開關使該第二輸入電容的第二端與該放大器的第二輸入端為電性分離,而該第二補償電容係並聯於該第二輸入電容。The multiplying digit to the analog converter of claim 1, wherein the amplifier further comprises a second input end and a second output end, and the first input end and the second input end of the amplifier are corresponding differentials Input, the first output end and the second output end of the amplifier are corresponding differential outputs, and the multiplying digital to analog converter further comprises: a second feedback capacitor, the first end of which is selectively coupled a second input signal or a second output of the amplifier, and a second end coupled to the second input of the amplifier or the common signal, wherein the first input signal and the second input signal are phase Corresponding differential signal, and the sub-class to digital converter is further configured to convert the second input signal into a second digit code, and generate a second reference signal according to the second digit code; a second input capacitor The first end is selectively coupled to the second input signal or the common signal, and the second end thereof is selectively electrically connected to the second input end of the amplifier or the common signal; and a second compensation Capacitor, its first end selectivity The ground is coupled to the second reference signal or the common signal, and the second end is coupled to the second end of the second input capacitor, wherein: the second feedback capacitor is coupled to the first sampling phase Connected between the second input signal and the common signal, the second input capacitor is coupled between the second input signal and the common signal, and the first end of the second compensation capacitor is coupled to the common The signal is used to reset the second compensation capacitor. The second feedback capacitor is coupled between the second input signal and the common signal. The second input capacitor is coupled to the second input capacitor. The first end of the second compensating capacitor is coupled to the second reference signal. The second feedback capacitor is coupled to the amplifier during the first holding phase. Between the second input end and the second output end of the amplifier, the first end of the second input capacitor is coupled to the common signal, and the second end of the second input capacitor is coupled by a second switch Coupled to a second input of the amplifier, and the second compensation capacitor is coupled The second input capacitor is coupled to the second input end of the amplifier and the second output end of the amplifier, and the second input capacitor is coupled to the second input capacitor. The first end is coupled to the common signal, and the second end of the second input capacitor is electrically separated from the second input end of the amplifier by the second switch, and the second compensation capacitor is connected in parallel The second input capacitor. 如請求項4所述之相乘數位至類比轉換器,其中該第二回授電容之值和該第二輸入電容之值實質上相等。The multiplied digit to the analog converter of claim 4, wherein the value of the second feedback capacitor and the value of the second input capacitor are substantially equal. 如請求項5所述之相乘數位至類比轉換器,其中該第一回授電容之值和該第二回授電容之值實質上相等。The multiplicative digit to the analog converter of claim 5, wherein the value of the first feedback capacitor and the value of the second feedback capacitor are substantially equal.
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