CN110311679B - Analog-to-digital converter for probability calculation sequence generation - Google Patents

Analog-to-digital converter for probability calculation sequence generation Download PDF

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CN110311679B
CN110311679B CN201910678511.1A CN201910678511A CN110311679B CN 110311679 B CN110311679 B CN 110311679B CN 201910678511 A CN201910678511 A CN 201910678511A CN 110311679 B CN110311679 B CN 110311679B
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sequence
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CN110311679A (en
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梁涛
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North University of China
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03MCODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00Analogue/digital conversion; Digital/analogue conversion
    • H03M1/12Analogue/digital converters
    • H03M1/124Sampling or signal conditioning arrangements specially adapted for A/D converters
    • H03M1/1245Details of sampling arrangements or methods
    • H03M1/1285Synchronous circular sampling, i.e. using undersampling of periodic input signals

Abstract

An analog-to-digital converter for probability calculation sequence generation belongs to the field of integrated circuits. The method aims to solve the problems that the traditional sequence generator cannot directly obtain a centralized distribution sequence, and even if a circuit is redesigned, the process of converting a binary representation into a determined sequence is still faced, and the process is easy to generate a single event upset phenomenon. The invention can directly generate the analog signal into the sequence which can be processed by the probability operation, saves the processes of binary representation and subsequent conversion in the middle and can enhance the insensitivity of the ADC to the bit upset; in addition, the sequences generated by the invention are distributed in a centralized way, which is beneficial to improving the precision of multiplication operation in probability calculation, and the sequence distributed in a centralized way enhances the error correction capability of the system for single bit inversion. The invention is mainly applied to high-performance arithmetic units, digital signal processing units, communication coding and decoding units and the like based on probability calculation.

Description

Analog-to-digital converter for probability calculation sequence generation
Technical Field
The invention belongs to the field of integrated circuits, and particularly relates to an active resistance type analog-to-digital converter for probability calculation sequence generation.
Background
Probability computation is a weightless numerical computation system that uses the fraction of "1" s in a binary random bit stream to characterize the size of the data. For example, in the following formula, for decimal fraction 0.25, it is represented by binary 0.01, and in probability calculation, it can be represented by 0001, 0100, 00100100100, and so on.
(0.25)10=(0×20+0×2-1+1×2-2)10=(0.01)2
=(0001)SC4=(00100100)SC8=(11000000)SC8 (1)
One of the outstanding advantages of probability computation is that when values are generated as random bit sequences, their original complex arithmetic operations can be implemented by very simple hardware logic circuits; for example, addition may be implemented by a data selector, multiplication may be implemented by an AND gate, division may be implemented by a JK flip-flop, and so on.
Another important feature of probability calculation is fault tolerance, especially against bit flipping errors due to external radiation.
In the random sequence, the error caused by the error of one bit is very small; for example, in the sequence 00100100100, the error caused by the single-bit flipping is only 1/8, but in the conventional binary system, the error amplitude of the single-bit flipping can reach 0.5 at most.
The above advantage is derived from the fact that in the probability calculation, the weight of each bit is equal. Of course, these advantages come at the expense of some accuracy and speed, and probabilistic calculations are considered to be a great advantage in systems with small scale, low power consumption, and high fault tolerance requirements.
A typical probability computation system first includes a sequence generator that converts the signal into a random sequence of bits that the probability computation system can process.
The conventional sequence generator is constructed as shown in fig. 1, and a digital comparator is used to compare a value to be converted (which can be normalized to be between 0 and 1 in advance and represented by binary) with N random numbers between 0 and 1, so as to obtain a desired random sequence DN. The N random numbers are derived from a Linear Feedback Shift Register (LFSR), and the representation of the signal from the input to the binary form is implemented by an analog-to-digital converter (ADC). Although the probability calculation has better fault-tolerant performance, the binary system is very sensitive to bit flipping under the standard CMOS processUnder the irradiation of high-energy particles, a memory cell (such as a register) can cause bit flipping of stored data, i.e. a Single Event Upset (SEU) phenomenon.
The conventional sequence generator comprises a random number generator and an ADC based on the LFSR, and one of the random number generator and the ADC is used for greatly influencing the performance of the sequence generator if the LFSR is turned over under the influence of SEU. Secondly, the ADC is used as an interface for digital and analog signals, and digital storage units such as registers are inevitably included in the ADC, so that if the ADC is exposed to an irradiation environment for a long time, a risk is brought to reliable operation of the system. The ADC can adopt a triple-modular redundancy structure to reinforce the memory cell, but this only reduces the probability of errors occurring in the circuit, and cannot fundamentally eliminate the influence caused by bit flipping. At present, the mainstream ADCs are designed for converting analog signals into corresponding binary representations, and ADCs for generating random sequences have not been reported. If an SEU occurs in the ADC as a data source, a great deviation and error will occur in the subsequent operation. According to the existing experimental report, the ADC with the reinforced design still has the phenomenon of single event upset under the bombardment of Ge particles.
In addition, according to recent research, it is shown that if a random sequence participating in operation is converted into a determined sequence, such as a centrally distributed sequence and a uniformly distributed sequence, the operation accuracy is greatly improved. However, the conventional sequence generator cannot directly obtain such a sequence, and needs to redesign the circuit, but still faces the problem that a single event upset phenomenon is easy to occur in the process of converting the binary representation into the determined sequence, so that the above problems need to be solved.
Disclosure of Invention
The invention provides an analog-digital converter for generating a probability calculation sequence, which aims to solve the problems that a traditional sequence generator cannot directly obtain a concentrated distribution sequence, and a process of converting a binary representation into a determined sequence can be met even if a circuit is redesigned, and the process is easy to generate a single event upset phenomenon.
An analog-to-digital converter for generating a probability calculation sequence comprises a sample-and-hold circuit, a comparator, two level shift circuits, a bidirectional shift register, a buffer, a forward amplifying circuit, a low-pass filter, a subtracter, a voltage division circuit and a control voltage generator;
the two level shift circuits are respectively defined as a first level shift circuit and a second level shift circuit;
a sample-and-hold circuit for holding the clock Clk at the sample-and-holdSUnder the action of (3), collecting analog voltage signals to obtain analog voltage VSInput to the positive input end of the comparator;
the comparator is used for comparing the voltage signals received by the positive input end and the negative input end of the comparator to obtain a comparison result and sending a logic level corresponding to the comparison result to the first level shift circuit;
the first level shift circuit is used for shifting down the logic level output by the comparator, then taking the logic level as a new logic level after the comparison result is shifted, and sending the new logic level to the bidirectional shift register;
a second level shift circuit for shifting the switching clock ClkDAfter the corresponding logic level is shifted, it is used as the switching clock ClkDThe shifted new logic level is sent to a bidirectional shift register;
wherein the comparison result is compared with the switching clock ClkDWhen the logic level before shifting is '1', the corresponding logic high level VDDComparison result and switching clock ClkDWhen the logic level before shifting is '0', the logic level corresponds to a logic low level 0;
comparison result and switching clock ClkDWhen the new logic level after shifting is '1', the corresponding logic high level is 0.5VDDComparison result and switching clock ClkDWhen the new logic level after shifting is '0', the corresponding logic low level is-0.5VDD(ii) a Bidirectional shift register at switching clock ClkDUnder the action of the shifted new logic level, the shift direction of the output sequence is determined according to the new logic level shifted according to the comparison result, and the shifted N-bit concentrated sequence D is obtained1 N=[d’1,d’2……d’N];
d’1To d'NRespectively representing the digital signals of 1 st to Nth bits from low bit to high bit, wherein N is an integer;
a buffer for buffering the shifted N-bit concentrated sequence D1 N=[d’1,d’2……d’N]After the logic level corresponding to the digital signal of each bit is shifted up, the concentrated sequence D of N bits is outputN=[d1,d2……dN]And d'1To d'NRespectively correspond to d1To dNThe logical relationship is opposite;
d1to dNRespectively representing the 1 st to the Nth digital signals from the low position to the high position;
a voltage divider circuit for dividing the reference voltage VREFDividing voltage, and simultaneously sending the obtained voltage delta V to a forward amplifying circuit, a control voltage generator and a subtraction input end of a subtracter;
a control voltage generator for generating a voltage control signal V based on the received voltage Δ VCTLAnd a voltage control signal V is providedCTLSending to a forward amplifying circuit;
a forward amplifier circuit for controlling the voltage V according to the received voltageCTLAnd a digital signal d'1To d'NAmplifying the voltage delta V to output a voltage VASending the signal to a low-pass filter for filtering, and then sending the signal to a subtracted input end of a subtracter;
difference voltage V output by subtracterBTo the negative input of the comparator;
TS=KTDand satisfy N>K>N/2;
Wherein, TSHolding clock Clk for samplingSPeriod of (a), TDFor switching clocks ClkDK is a coefficient;
n bit concentration sequence D1 NIn each bit digital signal, the logic high level is 0.5VDDThe logic low level corresponding to each bit digital signal is-0.5VDD
Sequence D in N-bit setNIn each bit digital signal, the logic high level is VDDThe logic low level corresponding to each bit digital signal is 0.
Preferably, when the comparison result outputted from the first level shift circuit is a logic level '1', the value in the lowest bit of the bidirectional shift register output sequence is controlled to shift to the right and '0' is complemented in the lowest bit, and when the comparison result outputted from the first level shift circuit is a logic level '0', the value in the highest bit of the bidirectional shift register output sequence is controlled to shift to the left and '1' is complemented in the highest bit.
Preferably, the bidirectional shift register is formed by cascading N register units, and the register units are implemented by using D flip-flops.
Preferably, the forward amplifying circuit includes an operational amplifier OP1Resistance R1And N voltage-controlled switch active resistors RA,1To RA,N
N voltage-controlled switch active resistors RA,1To RA,NConnected in series to an operational amplifier OP after being connected in parallel1Between the inverting input of (a) and power ground;
n voltage-controlled switch active resistors RA,1To RA,NRespectively used for receiving digital signals d'1To d'N
N voltage-controlled switch active resistors RA,1To RA,NWhile receiving the voltage control signal VCTL
Operational amplifier OP1The non-inverting input end of the voltage divider is used for receiving the voltage delta V output by the voltage divider;
operational amplifier OP1As the voltage output terminal of the forward amplifying circuit, and a resistor R1Is connected to a resistor R1And the other end of (1) and an operational amplifier OP1The inverting input end of the first switch is connected;
operational amplifier OP1Positive power supply input terminal and power supply VDDConnected, operational amplifier OP1Negative power supply input terminal and power supply VSSIs connected, and VDD=-VSS
Preferably, the N voltage-controlled switch active resistors have the same structure, and each voltage-controlled switch active resistor includes 3 PMOS transistors Mp1To Mp3And 5 NMOS transistors Mn1To Mn5
NMOS tube Mn2The grid of the voltage-controlled switch is used as a fixed connecting end of the voltage-controlled switch active resistor and the operational amplifier OP1The inverting input end of the first switch is connected;
the negative output end of the 1V power supply is used as the other fixed connecting end of the voltage-controlled switch active resistor and is connected with the power supply ground;
PMOS tube Mp3The drain electrode of the voltage-controlled switch is used as a voltage control end of the voltage-controlled switch active resistor;
PMOS tube Mp3The grid of the voltage-controlled switch is used as a switch control end of the voltage-controlled switch active resistor;
the positive output end of the 1V power supply is simultaneously connected with the NMOS tube Mn1Grid electrode and NMOS tube Mn1Drain electrode of (D), PMOS tube Mp1Source electrode of PMOS transistor Mp2Source electrode and NMOS tube Mn5Is connected with the drain electrode of the transistor;
NMOS tube Mn1Source electrode of (D) is simultaneously connected with NMOS tube Mn2Grid electrode and NMOS tube Mn2Drain electrode of (1), NMOS tube Mn3Drain electrode of PMOS transistor Mp1Is connected with the drain electrode of the transistor; PMOS tube Mp1The grid electrode of the PMOS transistor M is simultaneously connected with the PMOS transistor Mp2Grid and PMOS transistor Mp2Drain electrode of (1), NMOS tube Mn4Is connected with the drain electrode of the transistor;
NMOS tube Mn2Source electrode of the NMOS transistor Mn3Source electrode and NMOS tube Mn4Source electrode of PMOS transistor Mp3Source electrode and NMOS transistor Mn5Is connected with the source electrode of the transistor;
NMOS tube Mn3Grid and NMOS tube Mn4The grid electrodes of the grid electrodes are all connected with a power ground;
PMOS tube Mp3Grid and NMOS tube Mn5Is connected to the gate of (a).
Preferably, d 'is due to'1To d'NRespectively correspond to d1To dNIn the opposite logical relationship, the voltage VAThe expression of (a) is:
Figure BDA0002144047290000051
i is an integer.
Preferably, d 'is due to'1To d'NRespectively correspond to d1To dNIs opposite, the difference voltage VBThe expression of (a) is:
Figure BDA0002144047290000052
i is an integer.
Preferably, the data transmission method of the bidirectional shift register is serial input and parallel output.
When the random sequence generated by the circuit of fig. 1 is used for multiplication, the precision cannot be guaranteed to be high. Research has proved that the accuracy of calculation can be effectively improved by using the sequence with determined distribution, and the basic idea is to fix the generation mode of two sequences, wherein one sequence is in centralized distribution (1 is centralized at one end), the other sequence is in uniform distribution (1 is distributed approximately at equal intervals in the sequence), and the uniform distribution can be obtained by centralized distribution. The concentrated distribution sequence can be obtained by binary value conversion, but a counter is required, the scale of a circuit is increased, the binary representation can deteriorate the single event upset resistance of the sequence, and most importantly, the counter wastes a large number of clock cycles in the conversion process. The sequence generated by the structure disclosed by the invention is distributed in a centralized manner, so that the conversion process is omitted, and the method is specifically shown in fig. 9.
The invention has the following beneficial effects:
on one hand, the analog-to-digital converter for generating the probability calculation sequence is a novel ADC structure, can directly generate a sequence which can be processed by probability calculation from an analog signal, saves the processes of binary representation and subsequent conversion in the middle, and can enhance the insensitivity of the ADC to bit flipping; in addition, the sequences generated by the invention are distributed in a centralized way, which is beneficial to improving the probabilityThe precision of multiplication operation in calculation and the concentrated distribution sequence enhance the error correction capability of the system for single bit inversion. E.g. the original sequence [ d ]1d2d3d4]=[1 1 1 1]Original sequence [ d ]1d2d3d4]=[1 1 1 1]Turned over to be [ 10 1 ]]. Because the sequence is concentrated and distributed, 1 and 0 are concentrated and distributed, the second bit in the sequence can be conveniently known to be overturned, the overturned bit can be directly corrected in the subsequent processing process, and the time for determining the overturned bit is reduced.
On the other hand, in order to reduce the occupied chip area, N resistors required by the ADC are designed to be replaced by N voltage control switch active resistors built by MOS (metal oxide semiconductor) transistors, the active resistors are controlled to be switched on and off by digital signals of specific logic levels, and the resistance value in the on state is controlled by external voltage. The invention is mainly suitable for occasions with low requirements on speed and precision and high requirements on fault tolerance.
The ADC structure of the invention has more output bits, and is suitable for on-chip integration and forming a probability calculation SOC chip with other circuits.
Due to the technical characteristics, the invention is mainly applied to a high-performance operation unit based on probability calculation, a digital signal processing unit, a communication coding and decoding unit and the like.
Drawings
FIG. 1 is a schematic diagram of a sequence generation process of a conventional random sequence generator;
FIG. 2 is a schematic diagram of an analog-to-digital converter for probability calculation sequence generation according to the present invention;
fig. 3 is a schematic diagram of a specific structure of the bidirectional shift register 5, the voltage divider circuit 10, the low-pass filter 8 and the subtractor 9 in the specific embodiment;
FIG. 4 shows the analog voltage V obtained by the bidirectional shift register 3 according to the samplingSAdjusting the working principle schematic diagram of sequence output;
FIG. 5 is a schematic diagram of the buffer 6, in which a dotted line portion is an internal schematic diagram of the i-th inverter stage;
FIG. 6 is a schematic diagram of the active resistor of the voltage controlled switch of the present invention;
FIG. 7 is a simulation result diagram of the simulation circuit of the voltage controlled switch active resistor and its equivalent impedance in the switching state; wherein the content of the first and second substances,
FIG. 7 (a) is a simulation circuit diagram of a voltage divider circuit composed of voltage-controlled switch active resistors;
fig. 7 (b) is a graph of a simulation result of the divided voltage value of the divided voltage circuit in fig. 7 (a), that is: an R + terminal voltage simulation result diagram of the voltage-controlled active resistor in a switch state;
FIG. 7 (b 1) shows the value when VCTLWhen the voltage is not less than-0.5V, the voltage of the R + end of the active resistor is controlled in a voltage-controlled mode under a switching state;
FIG. 7 (b 2) shows the value when VCTLWhen the voltage is not less than-1V, the voltage of the R + end of the active resistor is controlled in a voltage-controlled mode in a switching state;
FIG. 7 (b 3) shows the value when VCTLWhen the voltage is = 1.5V, a simulation waveform diagram of the voltage of the R + end of the active resistor is controlled in a voltage-controlled mode in a switch state;
FIG. 7 (b 4) shows the value when VCTLWhen the voltage is not less than-2V, the voltage of the R + end of the active resistor is controlled in a voltage-controlled mode in a switching state;
FIG. 8 is a schematic diagram of the operation of the level shift circuit of the present invention, wherein the portion circled by the dotted line is a schematic diagram of the structure of the level shift circuit;
fig. 9 is a simplified sequence generation process diagram of an analog-to-digital converter for probability calculation sequence generation according to the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict.
The invention is further described with reference to the following drawings and specific examples, which are not intended to be limiting.
Referring to fig. 2, the present embodiment is described, and the analog-to-digital converter for probability calculation sequence generation according to the present embodiment includes a sample-and-hold circuit 1, a comparator 2, two level shift circuits, a bidirectional shift register 5, a buffer 6, a forward amplifier circuit 7, a low-pass filter 8, a subtractor 9, a voltage divider circuit 10, and a control voltage generator 11;
two level shift circuits are respectively defined as a first level shift circuit 3 and a second level shift circuit 4;
a sample-and-hold circuit 1 for holding a clock Clk at a sample-and-holdSUnder the action of (3), collecting analog voltage signals to obtain analog voltage VSInput to the positive input of the comparator 2;
the comparator 2 is used for comparing the voltage signals received by the positive input end and the negative input end to obtain a comparison result, and sending a logic level corresponding to the comparison result to the first level shift circuit 3;
a first level shift circuit 3, which is used for shifting down the logic level output by the comparator 2, and then sending the new logic level as the comparison result to the bidirectional shift register 5;
a second level shift circuit 4 for shifting the switching clock ClkDThe corresponding logic level is shifted and then used as a switch clock ClkDThe shifted new logic level is sent to the bidirectional shift register 5;
wherein the comparison result is compared with the switching clock ClkDWhen the logic level before shifting is '1', the corresponding logic high level VDDComparison result and switching clock ClkDWhen the logic level before shifting is '0', the logic level corresponds to a logic low level 0;
comparison result and switching clock ClkDWhen the shifted new logic level is '1',corresponding to logic high level 0.5VDDComparison result and switching clock ClkDWhen the new logic level after shifting is '0', the corresponding logic low level is-0.5VDD(ii) a Bidirectional shift register 5 at switching clock ClkDUnder the action of the shifted new logic level, the shift direction of the output sequence is determined according to the new logic level shifted according to the comparison result, and the shifted N-bit concentrated sequence D is obtained1 N=[d’1,d’2……d’N];
d’1To d'NRespectively representing the digital signals from 1 st to Nth bits from low bit to high bit, wherein N is an integer;
a buffer 6 for aligning the shifted sequences D1 in the N-bit setN=[d’1,d’2……d’N]After the logic level corresponding to the digital signal of each bit is shifted up, the concentrated sequence D of N bits is outputN=[d1,d2……dN]And d'1To d'NRespectively correspond to d1To dNThe logical relationship is opposite;
d1to dNRespectively representing the 1 st to the Nth digital signals from the low position to the high position;
a voltage divider circuit 10 for dividing the reference voltage VREFVoltage division is carried out, and the obtained voltage delta V is simultaneously sent to the subtracting input ends of the forward amplifying circuit 7, the control voltage generator 11 and the subtracter 9;
a control voltage generator 11 for generating a voltage control signal V based on the received voltage Δ VCTLAnd applies the voltage control signal VCTLSent to a forward amplifying circuit 7;
a forward amplifier circuit 7 for controlling the voltage V according to the received voltageCTLAnd a digital signal d'1To d'NAmplifying the voltage delta V to output a voltage VASending the signal to a low-pass filter 8 for filtering, and then sending the signal to a subtracted input end of a subtracter 9;
the difference voltage V output by the subtracter 9BTo the negative input of comparator 2;
TS=KTDand satisfy N>K>N/2;
Wherein, TSHolding clock Clk for samplingSPeriod of (a), TDFor switching clocks ClkDK is a coefficient;
sequence D in N-bit set1 NIn each bit digital signal, the logic high level is 0.5VDDThe logic low level corresponding to each bit digital signal is-0.5VDD
Sequence D in N-bit setNIn each bit digital signal, the logic high level is VDDThe logic low level corresponding to each bit digital signal is 0.
According to the embodiment, the analog signals can be directly generated into the concentrated distribution sequence of probability operation processing, and the processes of binary representation and subsequent conversion are omitted.
The logic level is '0' to represent low level, and the logic level is '1' to represent high level;
the amplification factor of the forward amplifier circuit 7 is represented by the sequence d'1To d'NThe number of the ` 1 ` s in (A) is determined. The logic levels of the signals before and after shifting in the buffer 6 are in the following relationship, d'iHigh level of (d) corresponds toiLow level of (d)'iLow level of (2) corresponds to high level of di, i.e.
Figure BDA0002144047290000081
Namely: the two logic relations are reversed.
Sampling clock ClkSPeriod T ofSIs ClkDPeriod TDK times of (1), satisfies N>K>N/2, the rising edge of the sampling clock represents the new analog potential input to the comparator 2, and also represents the completion of the conversion of the corresponding digital sequence of the last sampled analog potential.
If the comparison result output by the comparator 2 is in one sampling period TSWhen the internal voltage is kept at the low level, the bidirectional shift register 5 is located at the highest bit d 'from the right side'NShifting into multiple 1 states, or left shift 1; the comparison result output by the comparator 2 is in one sampling period TSWhen the internal state is kept at the high level, the bidirectional shift register 5 has the least significant bit d 'from the left side'1Shift into multiple 0 states, or right shift complement 0.
The invention relates to an analog-to-digital converter for generating a probability calculation sequence, which is a novel ADC (analog-to-digital converter) structure DN=[d1~dN]I.e. the output of the ADC of the present invention, from low to high, is d1To dNThat is, the sequence to be output finally by probability calculation, and the sequence is distributed in a centralized manner, that is: if present, a '1' is concentrated in the lower position, and if present, a '0' is concentrated in the upper position
The comparator 2 can be powered by a single power supply VDDThe bidirectional shift register 5 can be powered by two power supplies VDAnd VSPower supply and having VD=-VS=0.5VDDThe first level shift circuit 3 shifts the logic level of the comparator output by 0.5VDDThe required logic levels of the bi-directional shift register 5 are obtained.
Externally inputted switching clock ClkDRespectively correspond to VDDAnd 0, and therefore, the logic level needs to be shifted down by 0.5V through the second level shift circuit 4 as wellDDThe required logic level of the bi-directional shift register 5 is obtained.
The data transmission mode of the bidirectional shift register 5 is serial input and parallel output.
Referring to fig. 2, the preferred embodiment is described, in which the bidirectional shift register 5 is formed by cascading N register units, and the register units are implemented by using D flip-flops.
In the preferred embodiment, the bidirectional shift register 5 is a conventional bidirectional shift register 5 formed by cascading N register units, which can be implemented by the conventional technique, and specifically, referring to fig. 3, the shift operation of the bidirectional shift register 5 is performed by a switching clock ClkDOutputs logic signals d '1 to d'NHigh level is VDRepresenting a logic 1, low level VSRepresenting a logic 0. Due to d'IDoes not match the subsequent stage of the ADC, and therefore needs to be d'iThen addA first buffer 6 for obtaining a new logic signal di
The comparison result output by the comparator 2 is CompoutShifted by 0.5V by a level shift circuitDDObtaining the new logic Signal Comp'outIs input to the bidirectional shift register 5.
The bidirectional shift register 5 is formed by cascading N register units, the register units are realized by adopting D flip-flops, see fig. 3, and the D flip-flops are formed by V flip-flopsDAnd VSSupplied with power and having VD=-VS=0.5VDDClock signal of D flip-flop is Clk'DBy a switching clock ClkDShifted by 0.5VDDAnd then obtaining the compound.
Thus, logic Signal Comp'out、Clk’DAnd the register unit outputs d'1~d’NCorresponding high level is VDNamely: logic 1, low level is VSNamely: a logic 0. Each D flip-flop has two data inputs Dri and Dli when the clock signal Clk'DWhen the rising edge arrives, the D flip-flop latches the value of Dri or Dli, specifically selects whether Dri or Dli is latched, and the comparator 2 outputs a signal Comp'outDetermining;
is Comp'outAt high, dri is selected as the input to the D flip-flop, i.e.: latch value of Dri, 'Comp'outWhen low, select Dli as the input of D flip-flop, namely: the value of Dli is latched. The output of the N-stage D flip-flop is D 'from low to high'1To d'NAnd outputs the lowest bit d'1D flip-flop U1Represents that the highest bit d 'is output'ND flip-flop UNIndicating and so on. The output Dout of the previous stage D trigger is connected with the input port Dri of the next stage D trigger; the output Dout of the next-stage D trigger is connected with the input port Dli of the previous-stage D trigger, and the cascade connection is finished by analogy; u shape1Input port Dri of (1) is connected to low level VS,UNIs connected to a high level VD(ii) a Clock Clk, set input R, receive signal Comp 'of all D flip-flops'outThe terminals Dout are all connected together.
Referring to fig. 2 to 4, the preferred embodiment is described, in which when the comparison result output by the first level shift circuit 3 is logic level '1', the value in the lowest bit of the output sequence of the bidirectional shift register 5 is controlled to shift to the right and to complement '0' in the lowest bit, and when the comparison result output by the first level shift circuit 3 is logic level '0', the value in the highest bit of the output sequence of the bidirectional shift register 5 is controlled to shift to the left and to complement '1' in the highest bit.
Principle analysis:
the shifting principle of the present invention is analyzed with specific reference to fig. 3 and 4; FIG. 4 shows an analog voltage V obtained by the bidirectional shift register 3 according to samplingSAdjusting the working principle schematic diagram of sequence output;
(A) At the beginning of power-on, i.e., at time t =0, the states of the bidirectional shift register 5 are all Set to 1 by the Set signal Set, as shown in fig. 4; then, if Comp'outWhen the clock signal is held high, the sequence outputted from the bidirectional shift register 5 is the least significant bit d'1Become 0 one by one; if Comp'outWhen the state is kept at low level, the state of the shift register is changed from the most significant bit d 'by the clock signal'NAnd become 1 one by one.
(B) At t = t0At time instant d 'from the bidirectional shift register 5'1To
Figure BDA0002144047290000101
Are all 0, and the rest are 1; see FIG. 4, if Comp'outIn a sampling period TSWhen the internal voltage is kept at the low level, the bidirectional shift register 5 is located at the highest bit d 'from the right side'NShifting into multiple 1 states, or left shift 1; if Comp'outIn a sampling period TSWhen the internal holding is high, the bidirectional shift register 5 is located at the lowest bit d 'from the left side'1Shift into multiple 0 states, or right shift complement 0. Notably, due to d'1~d’NAre respectively VDAnd VSThis does not match the requirements of the post-stage logic of a typical ADC, and therefore requires d 'to be output at each register'iThen a buffer circuit is added to enable a new logic signal diAre respectively VDDAnd 0.
As shown in fig. 3, the voltage divider circuit 10 is implemented by the prior art, and a specific structure of the voltage divider circuit 10 is specifically shown, wherein the voltage divider circuit 10 is formed by R9、R10And R11Composition, reference voltage VREFAfter partial pressure, obtaining delta V, delta V and VREFThe relationship of (A) is as follows,
Figure BDA0002144047290000102
the present preferred embodiment is described with reference to fig. 2 and 3, and in the present preferred embodiment, the forward amplifying circuit 7 includes an operational amplifier OP1Resistance R1And N voltage-controlled switch active resistors RA,1To RA,N
N voltage-controlled switch active resistors RA,1To RA,NConnected in series to an operational amplifier OP after being connected in parallel1Between the inverting input of (a) and power ground;
n voltage-controlled switch active resistors RA,1To RA,NRespectively used for receiving digital signals d'1To d'N
N voltage-controlled switch active resistors RA,1To RA,NThe voltage control terminal receives the voltage control signal V at the same timeCTL
Operational amplifier OP1The non-inverting input terminal of (a) is used for receiving the voltage Δ V output by the voltage dividing circuit 10;
operational amplifier OP1As the voltage output terminal of the forward amplifying circuit 7, and a resistor R1Is connected to a resistor R1And the other end of (1) and an operational amplifier OP1The inverting input end of the first switch is connected;
operational amplifier OP1Positive power supply input terminal and power supply VDDConnected, operational amplifier OP1Negative power supply input terminal and power supply VSSAre connected, and VDD=-VSS
In the preferred embodiment, the invention adopts N voltage-controlled switch active resistors RA,1To RA,NFor reducing the chip area occupied by the forward amplifying circuit 7, the active resistor is controlled to be turned on and off by a digital signal of a specific logic level, and the resistance value in the on state is controlled by an external voltage.
The specific structures of the bidirectional shift register 5, the voltage dividing circuit 10, the low-pass filter 8 and the subtracter 9 in the invention can be realized by the prior art, and the invention provides a specific structure of the bidirectional shift register 5, the voltage dividing circuit 10, the low-pass filter 8 and the subtracter 9, which is specifically shown in fig. 3;
referring to fig. 6, the preferred embodiment is described, in which the structures of N voltage-controlled switch active resistors are the same, and each voltage-controlled switch active resistor includes 3 PMOS transistors Mp1To Mp3And 5 NMOS transistors Mn1To Mn5
NMOS tube Mn2The grid of the voltage-controlled switch is used as a fixed connecting end of the voltage-controlled switch active resistor and the operational amplifier OP1The inverting input end of the first switch is connected;
the negative output end of the 1V power supply is used as the other fixed connecting end of the voltage-controlled switch active resistor and is connected with the power supply ground;
PMOS tube Mp3The drain electrode of the voltage-controlled switch is used as a voltage control end of the voltage-controlled switch active resistor;
PMOS tube Mp3The grid of the voltage-controlled switch is used as a switch control end of the voltage-controlled switch active resistor;
the positive output end of the 1V power supply is simultaneously connected with the NMOS tube Mn1Grid electrode and NMOS tube Mn1Drain electrode of PMOS transistor Mp1Source electrode of PMOS transistor Mp2Source electrode and NMOS tube Mn5Is connected with the drain electrode of the transistor;
NMOS tube Mn1Source electrode of the NMOS transistor Mn2Grid of (1), NMOS tube Mn2Drain electrode of (1), NMOS tube Mn3Drain electrode of PMOS transistor Mp1Is connected with the drain electrode of the transistor; PMOS tube Mp1Grid electrode of the PMOS transistor Mp2Grid and PMOS transistor Mp2Drain electrode of (1), NMOS tube Mn4Is connected with the drain electrode of the transistor;
NMOS tube Mn2Source electrode of the NMOS transistor Mn3Source electrode and NMOS tube Mn4Source electrode of PMOS transistor Mp3Source electrode of (1) and NMOS transistor Mn5Is connected to the source of (a);
NMOS tube Mn3Grid and NMOS tube Mn4The grid electrodes of the grid electrodes are all connected with a power ground;
PMOS tube Mp3Grid and NMOS tube Mn5Is connected to the gate of (a).
In the preferred embodiment, the voltage-controlled switch active resistor comprises 3 PMOS transistors Mp1To Mp3And 5 NMOS transistors Mn1To Mn5Wherein M isn1~Mn4、Mp1、Mp2All work in a saturation region or a cut-off region, and the saturation region or the cut-off region forms a main body part of the active resistor; mp3、Mn5A switching section operating in a linear region or a cut-off region; the substrates of all the MOS tubes are connected with the source electrodes thereof. One end of the active resistor is fixedly grounded, and the other end is R+If at R+End external excitation source VinThen can be measured by R+Seen-in equivalent resistance Req=Vin/Iin. There are two control ports for the active resistor: switch control terminal d'iAnd a voltage control terminal VCTL
As shown in FIG. 6, the main body of the active resistor is powered by an externally connected 1V power supply as the positive power supply, and the negative power supply is based on d'iState of (1) power supply or VCTLPower supply:
when d'iWhen =1, Mn5Conducting Mp3Cut off due to d'iHigh level of VD=0.5VDD,Mn5Easily satisfy Vgs–Vth,n>Vds,VgsIs the voltage between the gate and the source, VdsIs the voltage between drain and source, Vth,nIs the threshold voltage of the NMOS tube; then Mn5A linear region operating as a transfer gate so that the negative power supply of the body portion approaches 1V;
when d'iWhen =0, Mn5Cut-off Mp3Is turned on due to d'iLow level of VS=–0.5VDDAppropriately select VCTLVoltage of (e.g., -1V) to cause Mp3Satisfy | Vgs–Vth,p|>|VdsI, then Mp3Operating in the linear region, corresponding to a transfer gate, so that the negative supply to the body portion approaches VCTL,Vth,pIs the threshold voltage of the PMOS tube.
In conclusion, when d'iWhen the current is 1, both the positive power supply and the negative power supply of the main body part are 1V, and the MOS tube is cut off, so that the equivalent impedance of the active resistor is very large, namely, the active resistor is cut off;
when d'iWhen =0, V is selected appropriatelyCTLThe MOS tube of the main body part works in a saturation region, and the active resistor can work normally at the moment. D'iEquivalent resistance R of =0eqTo be connected with VCTLControl of (2).
The result of simulating the active resistance structure by using a certain 0.5 μm CMOS BCD double-well process is shown in FIG. 7; fig. 7 (a) is a built simulation circuit diagram, an 8k resistor and an active resistor are connected in series to form a voltage division circuit, a switch control end of the active resistor is connected with a square wave signal, and the high and low levels of the square wave signal are respectively VDand-VSAnd V isD=–VS=0.5VDD=2.5V, the voltage control terminal is connected with a variable analog voltage VCTLThe width to length ratio of each tube is indicated in FIG. 6 (in μm). FIG. 7 (b) shows different control voltages VCTLSimulation result of when the switching signal is at high level VDEquivalent resistance R of active resistoreqThe voltage is far greater than 8k and close to cut-off, so the difference between the partial voltage value V (R +) and 0.5V is very small; when the switching signal is at a high level VSThe equivalent resistance R of the active resistoreqTo be connected with VCTLThe control is carried out by controlling the temperature of the air conditioner,
according to different VCTLThe value of V (R +) can be calculatedeqE.g. VCTLR of =1eqIs 15k. Because the size of the MOS tube can be smaller, the chip area occupied by the active resistor can be greatly reduced, and the resistance value can be VCTLAnd (6) adjusting.
Referring to FIGS. 2 and 3, the present preferred embodiment is illustrated, in this preferred embodiment, as d'1To d'NRespectively correspond to d1To dNIn the opposite logical relationship, the voltage VASum and difference voltage VBThe expression of (a) is:
Figure BDA0002144047290000131
Figure BDA0002144047290000132
i is an integer.
As shown in fig. 2 and 3, the voltage controlled switch active resistor RA,1~RA,NAre respectively output d 'by bidirectional shift register'1~d’NAnd (4) controlling. When d'iAt logic high level (corresponding to d)iLow level) corresponding to the active resistance RA,iIs made of VCTLDetermining; when d'iAt its logic low level (corresponding to d)iHigh level), RA,iPresenting a larger resistance, equivalent to an open circuit. RA,1~RA,NAre connected in series at OP after being connected in parallel1Between the negative input terminal and the analog ground, and their voltage control terminals are all connected to VCTLSignal, therefore RA,iResistance R presented in the on-stateeqAre identical, provided that Req=R1Then the equivalent parallel resistance can be expressed as,
Figure BDA0002144047290000133
the equivalent resistance RA,eqAnd OP1And R1The forward amplifying circuit is formed by the components together, and the voltage V of the point AAIt can be expressed as follows,
Figure BDA0002144047290000134
VApassing through a forward low-pass filter with pass-band gain of 1 to filter out high-frequency switching noise, and subtracting a voltage of DeltaV by a subtracter 9 to obtain VBAs shown in the following formula, VBIs connected with the negative end of the comparator 2,
Figure BDA0002144047290000135
in FIG. 3, when the analog voltage V is sampledS>VBShi, comp'outIs high level, the shift register outputs a clock signal Clk'DIs right shifted by 0 corresponding to ADC output DNThen it is right shift 1,VBGradually increasing; when V isS<VBShi, comp'outIs at low level, the output of the shift register is at Clk'DIs left shifted by 1 corresponding to the ADC output DNThen it is left shift 0,VBAnd gradually decreases. During a certain sampling period duration, the ADC dynamically adjusts DNIn 1 is VBIs gradually approaching to VS(ii) a When the sampling period is finished, namely the ADC finishes sampling the analog voltage VSTo a digital sequence DNConversion of (V)BShould be consistent with VSAs close as possible, thereby realizing the use of DNThe ratio of 1 in VS
Therefore, when VSAnd VBTaking the minimum value of 0, corresponding to DNThe total number of the compounds is 0; when V isBAnd VATaking the maximum value, i.e. the full-scale voltage VDDWhen corresponds to DNIf V is 1, the formula II shows thatB=VDDIf N.DELTA.V is true, then DELTA.V is the resolution of the ADC, DNIs a digital sequence of the ADC output.
Referring to FIG. 5, the preferred embodiment will be described, wherein the buffer 6 is composed of N buffer units, and the N buffer units are used for d'1To d'NThe corresponding logic level is inverted and level up shifting is achieved.
Buffer unit toolThe bulk structure can be realized by the prior art, specifically refer to fig. 5, in which one inverter is composed of one NMOS and one PMOS, and fig. 5 has 3 inverters (specifically, see the oval dashed box), one negative feedback PMOS and one NMOS; d'iIs 0.5V respectivelyDDand-0.5VDD,diAre respectively VDDAnd 0, and d'iHigh level of (d) corresponds toiLow level of d'iLow level of (d) corresponds toiI =1,2,3, … … N.
The positive and negative power supplies of the inverter inside the buffer unit are respectively VDDAnd 0. When d'iWhen the voltage is high level, the input of the corresponding first-stage inverter is connected with 0.5VDDFirst stage inverter input and VDDA negative feedback PMOS tube is arranged between the first and the second inverter, the grid of the PMOS tube is connected with the output of the first inverter, if the output potential of the first inverter can make the PMOS tube conducted, the input of the first inverter is pulled up to VDDAt this time, the output of the first-stage inverter is close to 0 potential, and is shaped by the following multi-stage inverters to finally output diIs close to 0; the size of the first-stage phase inverter can be reasonably designed to ensure that the on-resistance of the NMOS tube is smaller than that of the PMOS tube, so that the buffer works more reliably. When d'iWhen the voltage is low, the grid of the PMOS tube in the first-stage inverter is connected with-0.5VDDIt is enough to make the PMOS tube conduct and work in linear region, and at this time, the negative feedback PMOS tube and NMOS tube in the first stage inverter are necessarily cut off, so that the output of the first stage inverter is close to VDDAnd finally output d is shaped by a subsequent multi-stage inverteriIs close to VDD. Thus, the odd inverters are d'iHigh level of (d) corresponds toiLow level of (d)'iLow level of (d) corresponds toiHigh level of (i.e. i)
Figure BDA0002144047290000141
Sequence DN=[d1~dN]As the final output of the ADC.
In the invention, the level shift circuit can be realized by adopting the prior artThe specific structure of the shift circuit can be seen in FIG. 8, as VDDFor example, =5V, since the bidirectional shift register 5 is composed of VDAnd VSPower supply, and VD=–VS=0.5VDD=2.5V, and the output of the comparator CompoutAt VDDAnd 0 is high and low, and therefore needs to be shifted by 0.5VDDA new logic signal Comp 'results after = 2.5V'outThe input is used in a bidirectional shift register. Similarly, the input clock Clk 'of the level shift circuit'DIs also made of ClkDObtained through level shift operation. The structure of the level shift circuit is shown in fig. 8, which operates on a principle similar to the buffer unit of fig. 5, except that the level shift circuit is mainly composed of an even number of inverters having specific sizes and positive and negative power supplies, respectively, VD=0.5VDDAnd VS=-0.5VDDFirst stage inverter input and VSThe negative feedback tube in between is NMOS tube, since the inverter stage number is even number, compoutAnd Comp'outIn phase.
Although the invention herein has been described with reference to particular embodiments, it is to be understood that these embodiments are merely illustrative of the principles and applications of the present invention. It is therefore to be understood that numerous modifications may be made to the illustrative embodiments and that other arrangements may be devised without departing from the spirit and scope of the present invention as defined by the appended claims. It should be understood that features described in different dependent claims and herein may be combined in ways different from those described in the original claims. It is also to be understood that features described in connection with individual embodiments may be used in other described embodiments.

Claims (8)

1. An analog-to-digital converter for probability calculation sequence generation is characterized by comprising a sampling and holding circuit (1), a comparator (2), two level shift circuits, a bidirectional shift register (5), a buffer (6), a forward amplifying circuit (7), a low-pass filter (8), a subtracter (9), a voltage division circuit (10) and a control voltage generator (11);
the two level shift circuits are respectively defined as a first level shift circuit (3) and a second level shift circuit (4);
a sample-and-hold circuit (1) for holding a clock Clk at a sample-and-hold timeSUnder the action of (3), collecting analog voltage signals to obtain analog voltage VSInput to the positive input end of the comparator (2);
the comparator (2) is used for comparing the voltage signals received by the positive input end and the negative input end of the comparator to obtain a comparison result, and sending a logic level corresponding to the comparison result to the first level shift circuit (3);
a first level shift circuit (3) for shifting down the logic level outputted from the comparator (2), and then sending the new logic level shifted as the comparison result to the bidirectional shift register (5);
a second level shift circuit (4) for shifting the switching clock ClkDAfter the corresponding logic level is shifted, it is used as the switching clock ClkDThe shifted new logic level is sent to a bidirectional shift register (5);
wherein the comparison result is compared with the switching clock ClkDWhen the logic level before shifting is '1', the corresponding logic high level VDDComparison result and switching clock ClkDWhen the logic level before shifting is '0', the logic level corresponds to a logic low level 0;
comparison result and switching clock ClkDWhen the new logic level after shifting is '1', the corresponding logic high level is 0.5VDDComparison result and switching clock ClkDWhen the new logic level after shifting is '0', the corresponding logic low level is-0.5VDD(ii) a A bidirectional shift register (5) for switching the clock ClkDUnder the action of the shifted new logic level, the shift direction of the output sequence is determined according to the new logic level shifted according to the comparison result, and the shifted N-bit concentrated sequence D is obtained1 N=[d’1,d’2……d’N];
d’1To d'NRespectively representing the 1 st to Nth digit signals from low to high, N being an integer;
A buffer (6) for aligning the shifted sequences D in the N-bit set1 N=[d’1,d’2……d’N]After the logic level corresponding to the digital signal of each bit is shifted up, the concentrated sequence D of N bits is outputN=[d1,d2……dN]And d'1To d'NRespectively correspond to d1To dNThe logical relationship is opposite;
d1to dNRespectively representing the 1 st to the Nth digital signals from the low position to the high position;
a voltage divider circuit (10) for dividing the reference voltage VREFVoltage division is carried out, and the obtained voltage delta V is simultaneously sent to the positive amplification circuit (7), the control voltage generator (11) and the subtraction input end of the subtracter (9);
a control voltage generator (11) for generating a voltage control signal V based on the received voltage DeltaVCTLAnd applies the voltage control signal VCTLSending to a forward amplifier circuit (7);
a forward amplifier circuit (7) for controlling the voltage V according to the received voltageCTLAnd a digital signal d'1To d'NAmplifying the voltage delta V to output a voltage VAThe signal is sent to a low-pass filter (8) for filtering and then sent to the input end of a subtracter (9);
the difference voltage V output by the subtracter (9)BTo the negative input of the comparator (2);
TS=KTDand satisfy N>K>N/2;
Wherein, TSHolding clock Clk for samplingSPeriod of (a), TDFor switching clocks ClkDK is a coefficient;
sequence D in N-bit set1 NIn each bit digital signal, the logic high level is 0.5VDDThe logic low level corresponding to each bit digital signal is-0.5VDD
Sequence D in N-bit setNIn the middle, each bit digital signal corresponds to a logic high level VDDEach bit of digital signal is pairedThe corresponding logic low level is 0.
2. An analog-to-digital converter for probability calculation sequence generation according to claim 1, characterized in that when the comparison result outputted from the first level shift circuit (3) is logic level '1', the value in the lowest bit of the output sequence of the bidirectional shift register (5) is controlled to shift to the right and to complement '0' in the lowest bit, and when the comparison result outputted from the first level shift circuit (3) is logic level '0', the value in the highest bit of the output sequence of the bidirectional shift register (5) is controlled to shift to the left and to complement '1' in the highest bit.
3. An analog-to-digital converter for probability calculation sequence generation according to claim 1, characterized in that the bidirectional shift register (5) is cascaded by N register units, and the register units are implemented with D flip-flops.
4. An analog-to-digital converter for probability calculation sequence generation according to claim 1, characterized in that the forward amplifying circuit (7) comprises an operational amplifier OP1Resistance R1And N voltage-controlled switch active resistors RA,1To RA,N
N voltage-controlled switch active resistors RA,1To RA,NConnected in series to an operational amplifier OP after being connected in parallel1Between the inverting input of (a) and power ground;
n voltage-controlled switch active resistors RA,1To RA,NRespectively used for receiving digital signals d'1To d'N
N voltage-controlled switch active resistors RA,1To RA,NWhile receiving the voltage control signal VCTL
Operational amplifier OP1The non-inverting input end of the voltage divider is used for receiving the voltage delta V output by the voltage divider circuit (10);
operational amplifier OP1As the voltage output terminal of the forward amplifying circuit (7), and a resistor R1Is connected to a resistor R1And the other end of (1) and an operational amplifier OP1The inverting input end of the first switch is connected;
operational amplifier OP1Positive power supply input terminal and power supply VDDConnected, operational amplifier OP1Negative power supply input terminal and power supply VSSIs connected, and VDD=-VSS
5. The ADC of claim 4, wherein N voltage controlled switch active resistors have the same structure, and each voltage controlled switch active resistor comprises 3 PMOS transistors Mp1To Mp3And 5 NMOS transistors Mn1To Mn5
NMOS tube Mn2The grid of the voltage-controlled switch is used as a fixed connecting end of the voltage-controlled switch active resistor and the operational amplifier OP1The inverting input end of the first switch is connected;
the negative output end of the 1V power supply is connected with the power ground as the other fixed connection end of the voltage-controlled switch active resistor;
PMOS tube Mp3The drain electrode of the voltage-controlled switch is used as a voltage control end of the voltage-controlled switch active resistor;
PMOS tube Mp3The grid of the voltage-controlled switch is used as a switch control end of the voltage-controlled switch active resistor;
the positive output end of the 1V power supply is simultaneously connected with the NMOS tube Mn1Grid electrode and NMOS tube Mn1Drain electrode of PMOS transistor Mp1Source electrode of PMOS transistor Mp2Source electrode and NMOS tube Mn5Is connected with the drain electrode of the transistor;
NMOS tube Mn1Source electrode of the NMOS transistor Mn2Grid electrode and NMOS tube Mn2Drain electrode of (1), NMOS tube Mn3Drain electrode of PMOS transistor Mp1Is connected with the drain electrode of the transistor; PMOS tube Mp1Grid electrode of the PMOS transistor Mp2Grid and PMOS transistor Mp2Drain electrode of (1), NMOS tube Mn4Is connected with the drain electrode of the transistor;
NMOS tube Mn2Source electrode of the NMOS transistor Mn3Source electrode and NMOS tube Mn4Source electrode of PMOS transistor Mp3Source electrode and NMOS transistor Mn5Is connected to the source of (a);
NMOS tube Mn3Grid and NMOS tube Mn4The grids of the grid-connected transistors are all connected with a power ground;
PMOS tube Mp3Grid and NMOS tube Mn5Is connected to the gate of (a).
6. The analog-to-digital converter for probability calculation sequence generation of claim 1, wherein d 'is due'1To d'NRespectively correspond to d1To dNIn the opposite logical relationship, the voltage VAThe expression of (a) is:
Figure FDA0002144047280000031
i is an integer.
7. The analog-to-digital converter for probability calculation sequence generation of claim 1, wherein d 'is due'1To d'NRespectively correspond to d1To dNIs opposite, the difference voltage VBThe expression of (a) is:
Figure FDA0002144047280000032
i is an integer.
8. An analog-to-digital converter for probability calculation sequence generation according to claim 1, characterized in that the data transmission mode of the bidirectional shift register (5) is serial input and parallel output.
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