The invention relates to analog circuits and analog and digital mixed integrated circuits, particularly to a non-binary capacitor array with redundancy bits and an analog-to-digital converter and its chip being realized by using non-binary capacitor array with redundancy bits.
As CMOS technology grows, more effort has been made in the research of successive approximation analog-to-digital converters. As to conventional successive approximation analog-to-digital converters, capacitors in the capacitor array are designed by using binary increment which features easily reconfiguration and where the output of capacitors is the result of analog-to-digital converters.
Technically, analog-to-digital converters are packaged in an IC chip, where the circuit layout must be designed in a rigorous and orderly way due to binary increment (powers of 2). The conventional one, lack of flexibility in layout design, is unable to achieve the tradeoff between speed and size because of the rigorous capacitor array. Therefore, it can not meet the requirement of high speed low power successive approximation analog-to-digital converters.
So, the capacitor array arrays in analog-to-digital converters are in need for improvement to fit in the high resolution low power technology.
It is an object of the invention to provide an analog-to-digital converter of non-binary capacitor array with redundancy bits and its chip, which features flexibility in layout design and is able to realize the tradeoff between speed and size. It can meet the requirement of high speed lower power successive approximation analog-to-digital converters.
The invention presents the following schemes to accomplish the foregoing objects of the invention:
Scheme I
A non-binary capacitor array with redundancy bits is used to sample analog signals, wherein, the non-binary capacitor array consists of a common-mode voltage end, analog signal input, no less than one capacitor with redundancy bit and multiple capacitors. All capacitors in no less than one redundancy bit capacitor and multiple capacitors are connected in parallel between common-mode voltage end and analog signal input. All capacitors between common-mode voltage end and analog signal input are marked in a sequence from highest bit to lowest bit/from lowest to highest bit. And the sum of the capacitance of capacitors from the lowest bit capacitor to an random capacitor must be no less than the capacitance of the higher bit capacitor adjacent to the random capacitor. The ratio of the capacitance of each capacitor to the capacitance of unit capacitor is set to be positive.
The non-binary capacitor array with redundancy bits is optimized,
Wherein, the capacitance of each capacitor with redundancy bits is no less than the minimum capacitance and no larger than the maximum capacitance of multiple capacitors;
And the number of capacitors with redundancy bits is less than that of multiple capacitors;
And the two ends of capacitors with redundancy bits are respectively connected to the common-mode voltage ends during analog sampling. And both ends of each capacitor from multiple capacitors are respectively connected to the common-mode voltage end and to the analog signal input during analog sampling.
And the two ends of the capacitor with redundancy bits and the two ends of each of multiple capacitors take turns to be connected to the common-mode voltage end and the analog signal input during analog sampling.
Scheme II
Scheme I is applied to analog-to-digital converters in ways that obtain a non-binary successive approximation analog-to-digital converter with redundancy bits. The circuit comprises a successive approximation switch, a non-binary capacitor array with redundancy bits as mentioned in Scheme I, a comparator, a reconfiguration module and an overflow detection module, wherein
a non-binary capacitor array with redundancy bits is used to sample analog signals and obtain a corresponding sample signal;
a comparator, with its input end being connected to the non-binary capacitor array and output end being connected to the common-mode voltage end through a successive approximation switch, is used to compare sample signals from the non-binary capacitor array in successive approximation way and output binary digital signals;
a reconfiguration module, with its input end being connected to the output end of the comparator, is employed for addition reconfiguration of digital signals and outputs binary digital conversion signals;
a overflow detection module, with its input end being connected to the output end of the reconfiguration module, is used to calibrate the output after the higher bit and lower bit overflow detection of digital conversion signals.
Scheme II is optimized wherein the reconfiguration module is specified as a full-adder.
Scheme III
Scheme I and II are applied to integrated chip, namely, the non-binary capacitor array with redundancy bits is applied to analog-to-digital conversion chip, in the other word, the non-binary successive approximation analog-to-digital converter with redundancy bits is fabricated as a chip.
To sum up, compared with the conventional circuit, the present invention has the following advantages:
1. For CDAC capacitor design, the capacitance of each capacitor corresponding to each digital code is more flexible in ways that realize the tradeoff design between speed, power and size.
2. As the capacitance of each capacitor unit is flexible, it is easier to design the placement and size of each capacitor according the requirement of layout and technology.
3. Overflow detection module works to solve the problem of non-monotony resulting from upper limit and lower limit overflow and improve the reliability of the circuit.
4. Reconfiguration algorithm is proposed to explain how the successive approximation analog-to-digital converter works, which is helpful for further research on the analog-to-digital converters.
To better understand the objects, technologies and advantages of the invention, the accompanying drawings are referred to for further description, wherein:
Wherein, you may refer to non-binary capacitor array with redundancy bits 10, comparator 20, successive approximation switch 30, reconfiguration module 40 and overflow detection module 50.
Hereinafter, the preferred embodiments of the invention will be described using the drawings. It should be understood that the following embodiments are provided just for describing the invention, instead of limiting the property protection scope of the invention.
Then reconfiguration is performed in digital domain during the successive approximation. For better understanding of the reconfiguration, the binary output result is converted into corresponding octal number. Therefore,
DOUT=2n-1+2n-2S(n-1)+2n-3S(n-2)+ . . . +22S3+21S2+S1+0.5S0 (1)
Wherein, Si (i=0, 1, 2, . . . , n−2, n−1) equals to either 1 or −1 after the comparison result. In order to correspond to the output, equation (2) is expressed as:
Si=2Di-1 (2)
Wherein, Di (i=0, 1, 2, . . . , n−2, n−1) equals to either 0 or 1. According to equation (2), equation (1) is simplified as:
DOUT=2n-1D(n-1)+2n-2S(n-2)+ . . . +22D2+21D1+D0+0.5 (3)
Due to the decimal system, equation (3) is simplified as:
DOUT=2n-1D(n-1)+2n-2S(n-2)+ . . . +22D2+21D1+D0 (4)
Wherein, Di (i=0, 1, 2, . . . , n−2, n−1) is the final output code of the n bit analog-to-digital converter.
At the same time, reconfiguration is performed in digital domain during the successive approximation. For better understanding of the reconfiguration, the binary output result is converted into corresponding octal number. Then,
DOUT=2n-1+2n-2S(n-1)+2n-3S(n-2)+ . . . +2rSr+ . . . +22S3+21S2+S1+0.5S0 (5)
Wherein, Si (i=0, 1, 2, . . . , r, . . . , n−2, n−1) is either −1 or 1 based on each comparison result. According to equation (2), equation (5) is simplified as:
DOUT=2n-1D(n-1)+2n-2S(n-2)+ . . . +22D2+21D1+D0+2rDr−2r (6)
According to 1<r<n−1, the capacitor array CDAC is a binary capacitor array. Here comes the equation KrC=KtC, wherein KtC is one of the capacitors without redundancy bits, then the reconfiguration algorithm of equation (6) is shown as
Based on analysis above, K0=K1=1, K2, K3, . . . , Kr, . . . , K(n-2), K(n-1) are natural numbers (Generally, they are positive integers, but natural numbers are employed for better understanding), and Kj≦K(j-1)+K(j-2)+ . . . +K1+K0 (1<j≦n−1). Therefore, the capacitor K0C, K1C, K2C, K3C, . . . , KrC, . . . , K(n-2)C, K(n-1)C in the capacitor array CDAC can be set in natural number but binary way. So the capacitor array CDAC can be flexible to design various combinations of capacitor arrays. The reconfiguration algorithm of capacitor array is performed in natural number way as follows:
As to the relation Kj≦K(j-1)+K(j-2)+ . . . +K1+K0 (1<j≦n−1), j denotes the ordinal numbers of capacitors from highest bit to lowest bit or from lowest bit to highest bit. For example, 10 capacitors in a capacitor array (including redundancy bit capacitor) are sorted and marked by the sequence of the highest bit capacitor, second highest bit capacitor, third highest bit capacitor, . . . ninth highest bit capacitor, lowest bit capacitor or the sequence of the lowest bit capacitor, second lowest bit capacitor, third lowest bit capacitor, . . . ninth lowest bit capacitor, highest bit capacitor. Wherein, if the sequence is from highest to lowest bit capacitor, then the capacitance of the second highest capacitor must be no more than the total capacitance of the capacitors from the third highest bit capacitor to the lowest bit capacitor. (Likewise, it works the same if the sequence is from lowest to highest bit capacitor). Generally speaking, the sum of the capacitance of capacitors from the lowest bit capacitor to an random capacitor must be no less than the capacitance of the higher bit capacitor adjacent to the random capacitor.
Specifically, based on the analysis above, equation (7) is expressed as follows:
DOUT=2n-1+K(n-1)S(n-1)+K(n-2)S(n-2)+ . . . +KrSr+ . . . +K3S3+K2S2+K1S1+0.5S0 (7)
Wherein, Si (i=0, 1, 2, . . . , r, . . . , n−2, n−1) is either −1 or 1. According to equation (2) and (7), equation (8) is simplified as:
DOUT=2K(n-1)D(n-1)+2K(n-2)D(n-2)+ . . . +2KrDr+ . . . +2K3D3+2K2D2+2K1D1+D02n- 1−K(n-1)−K(n-2)− . . . −Kr− . . . −K3−K2−K1−1 (8)
The reconfiguration of equation (8) is shown as in
The schematic diagram of the reconfiguration unit REBUILDER is shown in
Furthermore, as offsets exist in circuit, the added result may have overflow issue after the addition of the reconfiguration unit REBUILDER.
It should be understood that, for embodiment 1, the operation scheme is shown in
To sum up, as shown in
Wherein, the capacitance of each capacitor with redundancy bits is no less than the minimum capacitance and no larger than the maximum capacitance of multiple capacitors; And the number of capacitors with redundancy bits is less than that of multiple capacitors;
And the two ends of capacitors with redundancy bits are respectively connected to the common-mode voltage ends during analog sampling. And both ends of each capacitor from multiple capacitors are respectively connected to the common-mode voltage end and to the analog signal input during analog sampling.
A non-binary capacitor array with redundancy bits is provided as shown in
±(VDD−VSS)(K0+K1+K2+K3+ . . . +K(n-2)+K(n-1))/(K0+K1+K2+K3+ . . . +Kr+ . . . +K(n-2)+K(n-1)) (9)
Furthermore, a schematic diagram of another non-binary capacitor array with redundancy bits is shown in
±(VDD−VSS)(K0+K1+K2+K3+ . . . +K(n-2)+K(n-1))/(K0+K1+K2+K3+ . . . +Kr+ . . . +K(n-2)+K(n-1)) (10)
It should be understood that the non-binary capacitor array with redundancy bits 10 may features more than one redundancy bit capacitors. The schemes, operation principles and overflow detection work the same for the non-binary capacitor array with multiple redundancy bit capacitors.
To be more specific, compared with that in embodiment 1, the capacitor array in embodiment 2 and 3 feature no less than one redundancy bit capacitor and multiple capacitors with both ends of each capacitor being connected to the common-mode voltage and the analog signal input during analog sampling.
Furthermore, the schemes of embodiment 1, 2 and 3 can be applied into a successive approximation converter in a way that obtains a non-binary successive approximation converter with redundancy bits. As shown in
Furthermore, the non-binary capacitor array with redundancy bits in embodiment 1 and 3 can be applied into analog-to-digital converter in ways that fabricate an analog-to-digital converter chip of non-binary capacitor array with redundancy bits, even an IC chip.
To sum up, the invention has following advantages:
1. For CDAC capacitor design, the capacitance of each capacitor corresponding to each digital code is more flexible in ways that realize the tradeoff design between speed, power and size.
2. As the capacitance of each capacitor unit is flexible, it is easier for the layout design, wherein the placement of each capacitor can be easily managed and the size of each capacitor can be determined according specific process.
3. The invention employs a flexible reconfiguration algorithm. The requirement that the ratio of the capacitance of each capacitor group to unit capacitance is positive is enough and the requirement of the powers of 2 is no longer necessary. So the capacitance of capacitors can be flexible in ways that provide flexibility for layout design. The technologists in the field do not need to design layout keeping the limitations of conventional binary capacitor array in mind. They are free to design the capacitance of capacitors according to the requirement of layout size and shape.
4. Overflow detection module is employed to avoid the non-monotony issue resulting from upper and lower limit overflow in a way that improves the reliability.
5. Reconfiguration algorithm is proposed to explain how the successive approximation analog-to-digital converter works, which is helpful for further research on the analog-to-digital converters
The foregoing preferred embodiments are provided to describe, not to limit, technical approaches in the invention. Obviously, bearing the essence and concept of the invention, technologists in this field can make various changes and redesigns to the invention. It should be understood that those changes and redesigns are also covered by claims of the invention, if they are with the same purpose and within the same scope of the present invention.
Number | Date | Country | Kind |
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2015101255040 | Mar 2015 | CN | national |
Filing Document | Filing Date | Country | Kind |
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PCT/CN2015/076126 | 4/9/2015 | WO | 00 |