CN105811980B - A kind of adaptive blind bearing calibration of the time error mismatch of the TIADC based on differentiator and mean timing error - Google Patents
A kind of adaptive blind bearing calibration of the time error mismatch of the TIADC based on differentiator and mean timing error Download PDFInfo
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Abstract
A kind of adaptive blind bearing calibration of the time error mismatch of the TIADC based on differentiator and mean timing error, belongs to Analog-digital Converter field.The method derives the system unknown parameter that needs are estimated using the average value of slope approximation and the time error of all sub- ADC of TIADC.Using TIADC system actual samples output valve, a differentiator and a high-pass filter are utilized, it is desirable that certain over-sampling simultaneously realizes that the adaptive blind of the time error mismatch of TIADC system corrects using lms algorithm.The parameter that the needs of correction system are estimated is the difference between the relative time error of each sub- ADC and the average value of the relative time error of all sub- ADC.This parameter is used for the reconstruct to error and to system balance.The present invention effectively reduces hardware complexity, hardware realization difficulty and system power dissipation.The present invention can extend to any more channel, and with the increase of port number, advantage is more obvious.
Description
Technical field
The present invention relates to a kind of TIADC (Time-Interleaved based on differentiator and mean timing error
Analog-to-digital Converter, time-interleaved analog-digital converter) time error mismatch adaptive school for the blind
Correction method belongs to high-speed, high precision Analog-digital Converter technical field.
Background technique
Utilize TIADC system composed by the high-precision single alternate sampling structure of ADC parallel time of multiple relative low speeds
System has become current high speed, the developing direction of high-precision adc.However, in practical applications, since the factors such as manufacturing process are made
At TIADC system neutron ADC between error misfits (time error mismatch, gain error mismatch and biased error mismatch) meeting
The serious overall performance for influencing TIADC.Wherein, gain error mismatch and biased error mismatch are easier to handle, and the time
Error misfits are most scabrous technical problems in the correction of TIADC.The number of applying for a patent is 201010225056.9 time-interleaved
The adaptive calibration device of analog-digital converter mismatch error can also be calibrated with gain between calibrated channel and biased error mismatch
Time and frequency error mismatch, but the method for this correction requires have signal generator to generate reference signal.The number of applying for a patent is
201210454365.2 the blind measurement method of TIADC time mismatch parameter based on signal frequency domain sparsity gives TIADC system
Time mismatch parameter estimation, this method require input signal be on frequency domain it is sparse, limit the class of input signal
Type.United States Patent (USP) US2008030387-A1 can only calibration-gain error；US2008024338-A1 can only calibration-gain error and
Biased error.
M sampling rate is fsTotal sample frequency of the TIADC system of the sub- ADC composition of/M is fs, with port number M
Increase, total sampling rate of TIADC system will increase.Port number is more, and correcting structure is more complicated and power consumption is also bigger, real
Existing difficulty is also bigger.How the smaller complexity of correcting structure is guaranteed, lower power consumption and reduction hardware realization difficulty are these
The purpose of invention.
Summary of the invention
The object of the present invention is to provide the time error mismatches of TIADC based on differentiator and mean timing error a kind of
Adaptive blind bearing calibration not only can effectively be corrected time error misfits, but also its correcting structure reduces firmly
Part complexity and realization difficulty, and reduce the power consumption of correction system.
Realization that the present invention adopts the following technical solutions:
A kind of adaptive blind bearing calibration of the time error mismatch of the TIADC based on differentiator and mean timing error,
Its thought is, for finally making the time error of each sub- ADC all become there are each sub- ADC of sampling time error
In identical value, the size of this value is the average value of the time error of all sub- ADC.It is final the result is that TIADC system after correction
The time error mismatch of the interchannel of system is reduced.Specific step is as follows:
Step 1: the reconfiguration system of the time error mismatch of the TIADC in the building channel M, since time error mismatch causes
Error e [n] can indicate are as follows:
rave=(r0+r1+,...,+rk+,...,+rM-1)/M (2)
(1) in formula, the nonideal non-homogeneous digital sample values of TIADC when y [n] is having time error misfits, d (y
[n])/d (t) represents and seeks slope value in t moment to y [n], and value can be by y [n] by obtaining after a differentiator effect；rk
Represent the relative time error of k-th of sub- ADC, i.e. rkCorresponding Absolute timing errors tkRelationship be tk=rkTs, wherein
TsFor total sampling period of TIADC.Because the value of k is value of the n to M modulus in (1), M is the port number of TIADC, therefore
rk-raveKth (wherein k=n mod M) height in the product of d (y [n])/d (t), in d (y [n])/d (t) and TIADC
The sampled value of ADC is corresponding in the slope value of t moment.As k=0, the sampled value of sub- ADC-0 can lead in the slope value of t moment
It crosses and is carried out by M times down-sampled and is obtained by d (y [n])/d (t).Work as k=1, when 2 ..., M-1, the sampled value of k-th of sub- ADC is in t
The slope value at moment can carry out obtaining and M times down-sampled after first carrying out d (y [n])/d (t) delay of M-k unit again
It arrives.
(2) in formula, M is the port number of TIADC；raveFor the average value of the relative time error of all sub- ADC, r0,
r1,…,rk,…,rM-1Sub- ADC-0, ADC-1 are respectively represented ..., ADC-k ..., the relative time error of ADC- (M-1).Because
The variation of the time error in channel is slowly, to may be considered constant, therefore r whithin a period of time in TIADC systemk-
raveIt can regard the unknown constant for needing to be estimated as whithin a period of time.If rk-rave(wherein k=0,1,
2 ..., M-1) value, that is, M parameter r corresponding with each sub- ADCk-raveValue be estimated, then by the available institute of (1) formula
The error e [n] that need to be reconstructed.
Step 2: to parameter rk-raveValue estimation:
To the analog signal x of inputc(t) it is limited in certain bandwidth [0, β π] (being indicated with normalization bandwidth) herein in,
Wherein β is the parameter limited input signal amount of bandwidth, and β can be greater than the 0 range value less than 1.If without any mistake
The presence of difference is then contained only in bandwidth [0, β π], in bandwidth [β π, π] by the TIADC signal spectrum that treated exports
And signal energy is not present.And as the mismatch of inter-channel time error and caused by error presence, can at bandwidth [β π, π]
Inside there is the signal energy of error, this portion of energy can be filtered off by a high-pass filter, be expressed as ε [n].Parameter
rk-raveValue can use LMS (LeastMean Square, Minimum Mean Square Error) algorithm by constantly reduce ε [n] value, repeatedly
It withholds to hold back and estimate.
Step 3: uncorrected output is compensated, the parameter r estimated by step 2k-raveValue can be by
Formula (1) obtains e [n], exports y after desired correctionave[n] may be expressed as:
yave[n]=y [n]-e [n] (3)
To sum up, this algorithm realizes the adaptive blind correction to the time error mismatch of TIADC.
The beneficial effects of the present invention are: methods of the present invention can time error mismatch progress to TIADC system
Adaptive school for the blind just, does not need to introduce any test signal, it is only necessary to the output data y [n] of TIADC system, to input
Signal requires nothing more than certain bandwidth limitation, requires no knowledge about specific information or parameter.It is not needed in correcting structure any
Modulator；Correction for the TIADC system in the channel M, in addition to a differentiator, a high-pass filter, M-1 adder,
Outside one subtracter and [d+ (M-1)+3M (M-1)/2] (the wherein delay that d represents differentiator) a unit delay, other parts
(including M multiplier, (M-1+D) a unit delay, wherein D is the delay and a LMS algorithm module of high-pass filter)
Working frequency, though port number M be it is how many, all be only and be always TIADC total sample frequency fs1/M times, i.e., it is sub
The working frequency of ADC.It it reduce the complexity of correcting structure and realizes difficulty, especially reduces power consumption.It is of the present invention
Method can extend to any more port number, and with the increase of port number, its advantages are all the more obvious.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of time-interleaved analog-digital converter (TIADC) system；
Fig. 2 is the analysis chart of time error mismatch；
Fig. 3 is to contain the principle assumption diagram of the compensation of reconstruct and uncorrected output of error；
Fig. 4 is the overall structure figure of adaptively correcting；
Fig. 5 is the uncorrected output signal spectrum of TIADC system；
Fig. 6 is the output signal spectrum of TIADC system corrected；
Fig. 7 for the coefficient to be estimated convergence result.
Specific embodiment
Below in conjunction with the attached drawing specific embodiment that the present invention will be described in detail.
As shown in Figure 1 it is the structural schematic diagram of time-interleaved analog-digital converter (TIADC) system, includes M channel.
Entire TIADC system is MT by the sampling time interval of M concurrent workingsSub- ADC composition, total working frequency of TIADC
For fs=1/Ts, wherein TsFor total sampling period of TIADC.r0,r1,…,rk,…,rM-1Respectively represent sub- ADC-0, ADC-
1 ..., ADC-k ..., the relative time error of ADC- (M-1).Each sub- ADC parallel work, the analog signal x of inputc(t)
Passed through after the sub- ADC parallel sampling in the channel M and is reduced to a uncorrected having time error mistake after multiplexer MUX is acted on
The nonideal non-homogeneous digital sample values y [n] of the TIADC matched.Then y [n] is carried out using the bearing calibration in the present invention
Correction.
It is illustrated in figure 2 the analysis chart of time error mismatch, x [n] is the reason assumed when TIADC system does not have time error
Think sampled value, y [n] is the nonideal non-homogeneous digital sample values of the TIADC of having time error misfits.yave[n] is desired
It is exported after correction, value is when the relative time error of each sub- ADC of TIADC system is all the relative time of all sub- ADC
The average value r of errorave=(r0+r1+,…,+rk+,…,+rM-1When)/M, the sampled value of TIADC.If all sub- ADC's
Relative time error is all rave, then the output of TIADC system is the output of no time error mismatch.D (y [n])/d (t) generation
Table seeks slope value in t moment to y [n].tnRepresent Absolute timing errors at the time of n-th of sampled point, and taveRepresent raveIt is right
The absolute value answered, i.e. tave=raveTs.E [n] represent as time error mismatch and caused by error.As shown in Figure 2 it is found that e
[n] can be by slope d (y [n])/d (t) and t of y [n]n-taveValue find out, that is, have:
Wherein, rnFor tnRelative value, i.e. tn=rnTs.The value of d (y [n])/d (t) can pass through a differentiator by y [n]
It is obtained after effect, since such a differentiator can introduce a 1/TsCoefficient, therefore e [n] can be indicated are as follows:
Because the time error in channel is slowly varying in TIADC system, i.e. rn=r(nmodM), so that
Since the value of the k in (3) is n to the value of M modulus, M is the port number of TIADC, therefore rk-raveWith d (y [n])/d
(t) in product, the sampled value of d (y [n])/d (t) and kth (wherein k=n mod M) a sub- ADC in TIADC are in t moment
Slope value it is corresponding.As k=0, the sampled value of sub- ADC-0 t moment slope value can by d (y [n])/d (t) into
M times of row down-sampled and obtain.Work as k=1, when 2 ..., M-1, the sampled value of k-th of sub- ADC can lead in the slope value of t moment
It crosses after the delay for first carrying out M-k unit to d (y [n])/d (t) and carries out M times down-sampled again and obtain.
The available error e [n] for needing to reconstruct of the formula as described in Fig. 2 (3), therefore be illustrated in figure 3 and contain error
Reconstruct and uncorrected output compensation principle assumption diagram, wherein j ω represents differentiator.To indicate convenient, d (y [n])/d
(t) it is expressed as yd[n]；r0-rave,r1-rave,r2-rave,…,rk-rave,…,rM-1-raveIt is expressed as c0,c1,c2,…,
ck,…,cM-1.In the known formula described in Fig. 2 (3), rk-raveIn the product of d (y [n])/d (t), d (y [n])/d (t) with
The sampled value of kth (wherein k=n mod M) a sub- ADC in TIADC is corresponding in the slope value of t moment.K-th in TIADC
The sampled value of sub- ADC can be obtained in the slope value of t moment by the down-sampled module in Fig. 3, yd[n] is acted on by down-sampled module
The y obtained afterwardsd[nM+0], yd+M-1[nM+1],yd+M-2[nM+2],…,yd+M-k[nM+k],…,yd+1[nM+M-1] is respectively indicated
Sub- ADC-0, ADC-1 ..., ADC-k ..., ADC- (M-1) respective sampled value t moment slope value, and this slope value distinguish
With d, d+M-1, d+M-2 ..., d+M-k ..., the delay of d+1 unit, wherein d represents the introduced delay of differentiator.Through
Cross M times of down-sampled processing of down-sampled module, yd[nM+0], yd+M-1[nM+1],yd+M-2[nM+2],…,yd+M-k[nM+
k],…,yd+1The sample frequency of [nM+M-1] is fs/M.Obtained yd[nM+0], yd+M-1[nM+1],yd+M-2[nM+2],…,
yd+M-k[nM+k],…,yd+1[nM+M-1] respectively with c0,c1,c2,…,ck,…,cM-1It is corresponding to be multiplied using as described in Figure 3
Rise the error amount y for having d+M-1 unit delay reconstructed after sampling module processingd+M-1[n]cn, wherein cn=ck=
c(nmodM).Uncorrected output y [n] obtains y [n- (d+M-1)] after d+M-1 unit delay is handled, by y [n- (d+M-
1) y] is subtractedd+M-1[n]cnIt can obtain compensated output yave[n-(d+M-1)]。
If parameter c in Fig. 30,c1,c2,…,ck,…,cM-1Value it is known that then can be according to the method described in Fig. 3 to not correcting
Output y [n] be corrected, therefore be illustrated in figure 4 the overall structure figure contained to the adaptively correcting of parameter Estimation.For
Facilitate expression, the down-sampled module in Fig. 4 and liter sampling module are described in detail in Fig. 3, only use textual representation here.f[n]
High-pass filter is represented, (wherein β is to input signal bandwidth its role is to filter the input signal of [0, β π] in bandwidth limitation
The parameter of size limitation, β can be greater than the 0 range value less than 1), and be retained in bandwidth limit in outer [β π, π] due to when
Between error misfits introduce error energy ε [n].Down-sampled module after ε [n] is used to obtain and yd[nM+0], yd+M-1[nM+
1],yd+M-2[nM+2],…,yd+M-k[nM+k],…,yd+1The down-sampled decimation value ε [nM+0] of [nM+M-1] corresponding ε [n],
εM-1[nM+1],εM-2[nM+2],…,εM-k[nM+k],…,ε1[nM+M-1].To express easy, used vector in figure
Expression formula is as follows:
WhereinFor ckEstimated value.LMS (Least Mean Square) is lms algorithm module, effect
It is with yd+M-k[nM+k] and εM-k[nM+k] is input, is estimated by iteration convergenceIt is as follows according to iterative formula:
Whereinμ is the step-length of iterative formula, the λ of 0 < μ≤1/max, wherein λmaxFor yd+M-k[(n-(M-1+D)/M)
M+k] autocorrelation matrix maximum eigenvalue, D be high-pass filter f [n] delay.When iteration convergence estimates coefficient's
Value, obtains actual error value by error reconstructing method as described in Figure 3(whereinFor cnActual estimated
Value) and compensation method can finally obtain practical correction value output
As shown in figure 5, the uncorrected output signal spectrum of its TIADC system is obtained by MATLAB software emulation result.
The four-way TIADC system formed using the ADC by four ideal 14 bits, simulation parameter are differentiator and high pass filter
The order of wave device is all 40 ranks, and normalization bandwidth is limited to [0,0.8 π], the relative time error of each subchannel be [-
0.008,0.003, -0.004,0.009], the step size mu of iterative formula is set as 0.007.The frequency spectrum of uncorrected output signal
SFDR is 36.36dB, SNR 40.06dB.
As shown in fig. 6, the SFDR of the frequency spectrum of the output signal after its correction is 78.5dB, SNR 65.84dB.Its
SFDR and SNR improve 42.14dB and 25.78dB respectively.
As shown in fig. 7, the convergence result of the coefficient to be estimated is consistent with the numerical value of theory calls, in 25000 iteration
Expected theoretical value is had converged within point.
Claims (1)
1. a kind of adaptive blind bearing calibration of the time error mismatch of the TIADC based on differentiator and mean timing error,
Be characterized in that the following steps are included:
Step 1: the reconfiguration system of the time error mismatch of the TIADC in the building channel M, as caused by time error mismatch accidentally
Poor e [n] indicates are as follows:
rave=(r0+r1+,...,+rk+,...,+rM-1)/M (2)
(1) in formula, the nonideal non-homogeneous digital sample values of TIADC when y [n] is having time error misfits, n represents n-th
A sampled point, d (y [n])/d (t) are represented to y [n] after t moment asks slope value, value to be acted on by y [n] by a differentiator
It obtains；rkRepresent the relative time error of k-th of sub- ADC, i.e. rkCorresponding Absolute timing errors tkRelationship be tk=
rkTs, wherein TsFor total sampling period of TIADC；In (1), the value of k is value of the n to M modulus, and M is the port number of TIADC,
Therefore rk-raveIn the product of d (y [n])/d (t), the sampled value of d (y [n])/d (t) and k-th of sub- ADC in TIADC are in t
The slope value at moment is corresponding；As k=0, the sampled value of sub- ADC-0 t moment slope value by d (y [n])/d (t) into
M times of row down-sampled and obtain；Work as k=1, when 2 ..., M-1, the sampled value of k-th of sub- ADC t moment slope value by pair
D (y [n])/d (t) first carries out carrying out after the delay of M-k unit M times down-sampled again and obtains；
(2) in formula, M is the port number of TIADC；raveFor the average value of the relative time error of all sub- ADC, r0,r1,…,
rk,…,rM-1Sub- ADC-0, ADC-1 are respectively represented ..., ADC-k ..., the relative time error of ADC- (M-1)；
Step 2: to parameter rk-raveValue estimation:
To the analog signal x of inputc(t) it is limited in bandwidth [0, β π], wherein β is being greater than the 0 range value less than 1；Due to logical
The mismatch of time error between road and caused by error presence, the signal energy of error can occur in the bandwidth [β π, π], this portion
Divide energy to be filtered off by a high-pass filter, is expressed as ε [n]；Parameter rk-raveValue it is logical using lms algorithm
The value for constantly reducing ε [n] is crossed, iteration convergence estimates；
Step 3: uncorrected output is compensated, the parameter r estimated by step 2k-raveValue obtained with step 1
The sampled value of the sub- ADC of k-th arrived carries out M times after the corresponding multiplication of slope value (wherein k=0,1,2 .., M-1) of t moment
Liter sampling, work as k=1, when 2 ..., M-1, then carry out the delay of k-1 unit, as k=0, then carry out the delay of M-1 unit;
Results added after carrying out liter sampling and postponing is obtained into the error e [n] of formula (1), exports y after desired correctionave[n] table
It is shown as:
yave[n]=y [n]-e [n] (3).
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| CN106341132B (en) * | 2016-08-08 | 2019-05-24 | 中国工程物理研究院电子工程研究所 | The error blind correction method of time-interleaved sampling ADC |
| CN106374921B (en) * | 2016-09-05 | 2019-04-05 | 广东顺德中山大学卡内基梅隆大学国际联合研究院 | Time-interleaved analog-digital converter linear distortion correction method based on poly phase |
| CN106911331A (en) * | 2017-02-04 | 2017-06-30 | 武汉科技大学 | The digit check circuit and real time checking method of time-interleaved type ADC system |
| CN107124183B (en) * | 2017-05-03 | 2020-07-03 | 北华航天工业学院 | Double-channel TIADC system mismatch error blind correction method |
| CN107425853B (en) * | 2017-06-20 | 2020-08-21 | 北华航天工业学院 | FFT-based blind correction method for mismatch error of dual-channel TIADC system |
| CN109379080A (en) * | 2018-09-21 | 2019-02-22 | 电子科技大学 | Time error self adaptive elimination method for time-interleaved |
| CN111064469B (en) * | 2019-12-13 | 2023-01-13 | 北京工业大学 | Method for correcting TIADC sampling time mismatch error based on adjacent channel autocorrelation function |
| CN114267407B (en) * | 2022-03-03 | 2022-06-10 | 合肥悦芯半导体科技有限公司 | Precision correction method, device and system and precision correction equipment |
| CN115913231B (en) * | 2023-01-06 | 2023-05-09 | 上海芯炽科技集团有限公司 | Digital estimation method for sampling time error of TIADC |
| CN116781079A (en) * | 2023-08-22 | 2023-09-19 | 上海芯炽科技集团有限公司 | TIADC time mismatch error calibration circuit based on reference channel |
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