CN101931406B - Transposed analog-digital and digital-analog conversion method - Google Patents
Transposed analog-digital and digital-analog conversion method Download PDFInfo
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- CN101931406B CN101931406B CN 201010268241 CN201010268241A CN101931406B CN 101931406 B CN101931406 B CN 101931406B CN 201010268241 CN201010268241 CN 201010268241 CN 201010268241 A CN201010268241 A CN 201010268241A CN 101931406 B CN101931406 B CN 101931406B
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Abstract
The invention discloses a transposed analog-digital and digital-analog conversion method, which is characterized by comprising the following steps of: uniformly dividing an analog signal change area into a plurality of continuous small areas with equal sizes, and describing the change information of a detected analog signal by recording the time and change direction of the detected analog signal changed from one voltage change to the adjacent voltage area so as to realize analog-digital conversion; and uniquely recovering the detected signal according to a time sequence and a direction sequence acquired in the analog-digital conversion so as to realize digital-analog conversion. The sampling point acquisition is closely related with the change of the detected signal, so the analog-digital conversion method provided by the invention has the advantages of more reasonable sampling point distribution and low data redundancy.
Description
Technical field
The invention belongs to analog to digital conversion and digital-to-analog conversion field, be specifically related to a kind of transposition type simulated digital conversion and digital-to-analogue conversion method.
Background technology
The continually varying simulating signal is comprised of the continuous sampling point of infinite a plurality of limitless nearness, and each sampling point has definite time t and voltage U.Analog-to-digital core is exactly in infinite a plurality of signal sampling points, and extracting limited can be with the sampling point of digital quantity expression, with the original simulating signal of approximate description.Extract sampling point, must determine two amounts of this sampling point: time quantization value and voltage quantized value.
Traditional D conversion method, quantizes and record the magnitude of voltage of sampling instant analog signal sampling with fixing sampling time interval Δ t.The transformation result that it is final is that a voltage quantizes value sequence Y=[Y
0, Y
1, Y
2... Y
i... Y
m], and the time quantization value of each sampling point, with T
i=i * Δ t calculates acquisition, forms the acquiescence sequence T=[[T that need not to record
0, T
1, T
2... T
i... T
m].Therefore, its core thinking is, with the constant duration Δ t of prior regulation, at i * Δ t constantly, the analog signal voltage value is quantized and record, and be known time, quantize and the mode of recording voltage.
Accordingly, traditional digital-analog convertion method is exactly at the i that stipulates * Δ t constantly, with the digital quantity sequence Y=[Y of record
0, Y
1, Y
2... Y
i... Y
m], sequentially send with corresponding analog quantity.
This method is just in time opposite with classic method, is known voltage, quantizes the also mode of writing time, therefore is referred to as transposition type method.This method can realize analog to digital conversion equally, also can realize digital-to-analog conversion.Compare with classic method, the largest benefit that this method is brought is, the sampling point position that it obtains, closely related with tested simulating signal: signal intensity is the abundant zone of quantity of information namely frequently, the sampling point that it obtains is more, and the slow namely less zone of quantity of information of signal intensity, the sampling point that its obtains is less.This more reasonably sampling point distributes, and produces hardly any data redundancy, can increase substantially the efficient of digital quantity record.
Summary of the invention
The purpose of this invention is to provide a kind of sampling point distribution relevant with measured signal, the analog to digital conversion of transposition type and digital-analog convertion method,
In order to reach above purpose, the present invention adopts following technical scheme to be achieved:
The number conversion of a kind of transposition pattern and digital-analog convertion method is characterized in that: comprise the steps:
(1) the amplitude range [U of the measured signal u of input
Min, U
Max] be divided into the regional A that M voltage spaces equates
0～A
M-1:
A
0：U
min＜u＜U
min+ΔU
A
1：U
min+ΔU＜u＜U
min+2ΔU
……
A
n：U
min+nΔU＜u＜U
min+(n+1)ΔU
……
A
M-1：U
min+(M-1)ΔU＜u＜U
max；
Wherein: Δ U=(U
Max-U
Min)/M, M are positive integer, n＜M;
(2) establish above-mentioned A
0～A
M-1The regional A of in the zone certain
n, as whole analog-to-digital initiation region, all the other zones are non-initiation region;
When (3) beginning analog to digital conversion, start a high-speed timer Timer;
(4) adjacent area when detected input signals is entered its by a zone above is called and submits more event, hands over Vietnamese side to d=1; Entered the adjacent area of its below when detected input signals by a zone, be called lower friendship and get over event, hand over Vietnamese side to d=-1; Definition submit more event and lower friendship more the intersection of event for handing over more event;
(5) in the t-U coordinate system, any sampling point P
iBe expressed as P
i(t
i, U
i), t wherein
iFrom the described Timer of step (3), first sampling point is initial sampling point, by P
0(t
0, U
0) expression;
(6) determine first sampling point P
0:
After the beginning analog to digital conversion, measured signal enters the initiation region by non-initiation region for the first time, perhaps enters non-initiation region by the initiation region, is considered as initial friendship and gets over event, and be t by the temporal information that Timer produces by note this moment
0, d is to note in the friendship Vietnamese side that event is got in initial friendship
0d
0=± 1; If a quantity of state PS, whether measured signal was at initiation region A when expression began to change
nIn: measured signal is at A when beginning to change
nIn, PS=1 then; Measured signal is not at A when beginning to change
nIn, PS=-1 then; Thus, the formula of first sampling point voltage is:
U
0＝U
min+n×ΔU+(1+PS×d
0)ΔU/2
According to t
0, U
0Obtain first sampling point P
0
(7) initial sampling point P
0After, event is got in the described friendship of a step of every generation (4), namely reads and record the moment t that this event occurs from the described Timer of step (3)
i, and event type is got in friendship carried out record, namely hand over Vietnamese side to d
i
(8) initial sampling point P
0After, handing over the more lasting generation of event m time, m is positive integer, just can obtain the digital quantity sequence that two groups of length are m+1, first group is moment sequence t
i, its form is " t
0, t
1... t
i... t
M-1, t
m, "; Second group for handing over Vietnamese side to sequence d
i, its form is " d
0, d
1... d
i... d
M-1, d
m, ", these two groups of sequences are the analog to digital conversion result of this method, by described two groups of sequences, obtain to represent a plurality of sampling point P of measured signal u with the unique calculating of the method for recursion
0To P
m, the expression formula of each sampling point is as follows:
P
0(t
0, U
0), U wherein
0=U
Min+ n * Δ U+ (1+PS * d
0) Δ U/2
P
1(t
1, U
1), U wherein
1=U
0+ (d
1+ d
0) Δ U/2;
P
2(t
2, U
2), U wherein
1=U
1+ (d
2+ d
1) Δ U/2;
……
P
i(t
i, U
i), U wherein
i=U
I-1+ (d
i+ d
I-1) Δ U/2;
……
P
m(t
m, U
m), U wherein
m=U
M-1+ (d
m+ d
M-1) Δ U/2.
(9) according to the described two groups of sequence (t of step (8)
0, t
1... t
i... t
M-1, t
m) and (d
0, d
1... d
i... d
M-1, d
m), the U that has set in integrating step (1), (2)
Max, U
Min, M, n, and the quantity of state PS of statement initial present position of measured signal when beginning to change uses the described sampling point expression formula of step (8), can unique recovery measured signal, can realize digital-to-analog conversion.
In the said method, the described initiation region A of step (2)
nGet relatively whole uniformly-spaced regional A
0～A
M-1-certain zone placed in the middle.
The final digital quantity of D conversion method of the present invention no longer is the voltage quantized value in traditional analog to digital conversion, but is comprised of the digital quantity sequence of two groups of equal length: first group is the time quantization value, and second group is the direction value.The sampling point that obtains by the method distributes closely related with the amplitude situation of change of tested simulating signal: signal intensity frequently contains the part than multiple data quantity, obtain more sampling point, and signal intensity slowly contains the part of less quantity of information, obtain less sampling point, it is more reasonable that its sampling point distributes, and effectively reduced data redundancy.
Description of drawings
The present invention is described in further detail below in conjunction with the drawings and the specific embodiments.
Fig. 1 is that the sampling point of traditional D conversion method obtains schematic diagram.
Fig. 2 is that the sampling point of D conversion method of the present invention obtains schematic diagram (during the beginning analog to digital conversion, measured signal is not in the initiation region).
Fig. 3 is that the sampling point of D conversion method of the present invention obtains schematic diagram (during the beginning analog to digital conversion, measured signal is in the initiation region).
Embodiment
The number conversion of a kind of transposition pattern and digital-analog convertion method comprise the steps:
(1) the amplitude range [U of the measured signal u of input
Min, U
Max] be divided into the regional A that M voltage spaces equates
0～A
M-1:
A
0：U
min＜u＜U
min+(U
max-U
min)/M
A
1：U
min+(U
max-U
min)/M＜u＜U
min+2(U
max-U
min)/M
……
A
n：U
min+n(U
max-U
min)/M＜u＜Um
in+(n+1)(U
max-U
min)/M
……
A
M-1：U
min+(M-1)(U
max-U
min)/M＜u＜U
max；
Wherein: M is positive integer, and n＜M is convenient statement, definition Δ U=(U
Max-U
Min)/M;
(2) establish certain regional A in the above-mentioned zone
n, as whole analog-to-digital initiation region, all the other zones are non-initiation region; A wherein
nCan be A
0～A
M-1In any one zone.Generally can be with A
nBe made as certain zone relatively placed in the middle.
When (3) beginning analog to digital conversion, start a high-speed timer Timer;
(4) adjacent area when detected input signals is entered its by a zone above is called and submits more event, hands over Vietnamese side to d=1; Entered the adjacent area of its below when detected input signals by a zone, be called lower friendship and get over event, hand over Vietnamese side to d=-1; Definition submit more event and lower friendship more the intersection of event for handing over more event;
(5) in the t-U coordinate system, any sampling point P
iBe expressed as P
i(t
i, U
1), t wherein
iFrom the described Timer of step (3), first sampling point is initial sampling point, by P
0(t
0, U
0) expression;
(6) determine first sampling point P
0: be divided into two kinds of situations, be described below:
The first situation as shown in Figure 2, when the beginning analog to digital conversion, measured signal is not in the initiation region: when measured signal enters the initiation region by the described non-initiation region of step (2) for the first time, be considered as initial friendship and get over event, this is t by the temporal information that Timer produces by note constantly
0D is to note in the friendship Vietnamese side that event is got in initial friendship
0, U then
0=U
Min+ n * Δ U+ (1-d
0) Δ U/2, obtain thus first sampling point P
0
Work as d
0=1, illustrate that measured signal is to enter the initiation region by the below in the mode of build-up of voltage, then U
0=U
Min+ n * Δ U is the initiation region lower boundary; Work as d
0=-1, illustrate that measured signal is to enter the initiation region by the top in the mode of lower voltage, then U
0=U
Min+ (n+1) * and Δ U, be the coboundary, initiation region;
The second situation as shown in Figure 3, when the beginning analog to digital conversion, measured signal is in the initiation region: when measured signal enters non-initiation region by the described initiation region of step (2) for the first time, be considered as initial friendship and get over event, this is t by the temporal information that Timer produces by note constantly
0D is to note in the friendship Vietnamese side that event is got in initial friendship
0, U then
0=U
Min+ n * Δ U+ (1+d
0) Δ U/2, obtain thus first sampling point P
0In this method, work as d
0=1, illustrate that measured signal is that mode with build-up of voltage enters non-initiation region, then U
0=U
Min+ (n+1) * Δ U; Work as d
0=-1, illustrate that measured signal is that mode with lower voltage enters the initiation region, then U
0=U
Min+ n * Δ U.
Comprehensive first and second kinds of situations are established a quantity of state PS, and whether measured signal was at initiation region A when expression began to change
nIn: measured signal is at A when beginning to change
nIn, PS=1 then; Measured signal is not at A when beginning to change
nIn, PS=-1 then.
Thus, the formula of definite first sampling point voltage is in this method:
U
0=U
Min+ n * Δ U+ (1+PS * d
0) Δ U/2 formula (1)
(7) initial sampling point P
0After, event is got in the described friendship of a step of every generation (4), namely reads and record the moment t that this event occurs from the described Timer of step (3)
i, and according to step (4), event type carries out record to handing over more, namely hands over Vietnamese side to d
i
(8) initial sampling point P
0After, handing over the more lasting generation of event m time, m is positive integer, just can obtain the digital quantity sequence that two groups of length are m+1, first group is moment sequence t
i, its form is " t
0, t
1... t
i... t
M-1, t
m, "; Second group for handing over Vietnamese side to sequence d
i, its form is " d
0, d
1... d
i... d
M-1, d
m, ", by described two groups of sequences, obtain to represent a plurality of sampling point P of measured signal u with the unique calculating of the method for recursion
0To P
m, the expression formula of each sampling point is as follows:
P
0(t
0, U
0), U wherein
0=U
Min+ n * Δ U+ (1+PS * d
0) Δ U/2
P
1(t
1, U
1), U wherein
1=U
0+ (d
1+ d
0) Δ U/2;
P
2(t
2, U
2), U wherein
2=U
1+ (d
2+ d
1) Δ U/2;
……
P
i(t
i, U
i), U wherein
i=U
I-1+ (d
i+ d
I-1) Δ U/2;
……
P
m(t
m, U
m), U wherein
m=U
M-1+ (d
m+ d
M-1) Δ U/2.
(9) the described two groups of sequence (t of step (8)
0, t
1... t
i... t
M-1, t
m) and (d
0, d
1... d
i... d
M-1, d
m) be the analog to digital conversion result that the present invention will obtain, the amount U that has set in integrating step (1), (2)
Max, U
Min, M, n, and the quantity of state PS of statement measured signal present position when beginning to change uses the described sampling point expression formula of step (8), can unique recovery measured signal, can realize digital-to-analog conversion.
Claims (2)
1. a transposition pattern number and digital-analog convertion method is characterized in that: comprise the steps:
(1) the amplitude range [U of the measured signal u of input
Min, U
Max] be divided into the regional A that M voltage spaces equates
0～A
M-1:
A
0：U
min＜u＜U
min+ΔU
A
1：U
min+ΔU＜u＜U
min+2ΔU
……
A
n：U
min+nΔU＜u＜U
min+(n+1)ΔU
……
A
M1：U
min+(M-1)ΔU＜u＜U
max；
Wherein: Δ U=(U
Max-U
Min)/M, M are positive integer, n＜M;
(2) establish above-mentioned A
0～A
M-1The regional A of in the zone certain
n, as whole analog-to-digital initiation region, all the other zones are non-initiation region;
When (3) beginning analog to digital conversion, start a high-speed timer Timer;
(4) adjacent area when detected input signals is entered its by a zone above is called and submits more event, hands over Vietnamese side to d=1; Entered the adjacent area of its below when detected input signals by a zone, be called lower friendship and get over event, hand over Vietnamese side to d=-1; Definition submit more event and lower friendship more the intersection of event for handing over more event;
(5) in the t-U coordinate system, any sampling point P
iBe expressed as P
i(t
i, U
i), t wherein
iFrom the described Timer of step (3), first sampling point is initial sampling point, by P
0(t
0, U
0) expression;
(6) determine first sampling point P
0:
After the beginning analog to digital conversion, measured signal enters the initiation region by non-initiation region for the first time, perhaps enters non-initiation region by the initiation region, is considered as initial friendship and gets over event, and be t by the temporal information that Timer produces by note this moment
0, d is to note in the friendship Vietnamese side that event is got in initial friendship
0d
0=± 1; If a quantity of state PS, whether measured signal was at initiation region A when expression began to change
nIn: measured signal is at A when beginning to change
nIn, PS=1 then; Measured signal is not at A when beginning to change
nIn, PS=-1 then; Thus, the formula of first sampling point voltage is:
U
0=U
min+n×ΔU+(1+PS×d
0)ΔU/2
According to t
0, U
0Obtain first sampling point P
0
(7) initial sampling point P
0After, event is got in the described friendship of a step of every generation (4), namely reads and record the moment t that this event occurs from the described Timer of step (3)
i, and event type is got in friendship carried out record, namely hand over Vietnamese side to d
i
(8) initial sampling point P
0After, handing over the more lasting generation of event m time, m is positive integer, just can obtain the digital quantity sequence that two groups of length are m+1, first group is moment sequence t
i, its form is " t
0, t
1... t
i... t
M-1, t
m, "; Second group for handing over Vietnamese side to sequence d
i, its form is " d
0, d
1... d
i... d
M-1, d
m, ", these two groups of sequences are the analog to digital conversion result of this method, by described two groups of sequences, obtain to represent a plurality of sampling point P of measured signal u with the unique calculating of the method for recursion
0To P
m, the expression formula of each sampling point is as follows:
P
0(t
0, U
0), U wherein
0=U
Min+ n * Δ U+ (1+PS * d
0) Δ U/2
P
1(t
1, U
1), U wherein
1=U
0+ (d
1+ d
0) Δ U/2;
P
2(t
2, U
2), U wherein
2=U
1+ (d
2+ d
1) Δ U/2;
……
P
i(t
i, U
i), U wherein
i=U
I-1+ (d
i+ d
I-1) Δ U/2;
……
P
m(t
m, U
m), U wherein
m=U
M-1+ (d
m+ d
M-1) Δ U/2;
(9) according to the described two groups of sequence (t of step (8)
0, t
1... t
i... t
M-1, t
m) and (d
0, d
1... d
i... d
M-1, d
m), the U that has set in integrating step (1), (2)
Max, U
Min, M, n, and the quantity of state PS of statement initial present position of measured signal when beginning to change uses the described sampling point expression formula of step (8), can unique recovery measured signal, can realize digital-to-analog conversion.
2. transposition pattern number as claimed in claim 1 and digital-analog convertion method is characterized in that: the described initiation region A of step (2)
nGet relatively whole uniformly-spaced regional A
0～A
M-1Certain zone placed in the middle.
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| CN101931406B true CN101931406B (en) | 2013-02-06 |
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| CN102832933B (en) * | 2012-07-28 | 2015-07-08 | 成都宽和科技有限责任公司 | Method and processor for transforming width difference analog signal into digital control model |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1448838A (en) * | 2003-04-24 | 2003-10-15 | 上海复旦微电子股份有限公司 | Fixed time-interval sampling interpolation calculating method and apparatus thereof |
| CN101093997A (en) * | 2006-06-21 | 2007-12-26 | 三洋电机株式会社 | Combined ad/da converting apparatus |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN1448838A (en) * | 2003-04-24 | 2003-10-15 | 上海复旦微电子股份有限公司 | Fixed time-interval sampling interpolation calculating method and apparatus thereof |
| CN101093997A (en) * | 2006-06-21 | 2007-12-26 | 三洋电机株式会社 | Combined ad/da converting apparatus |
Non-Patent Citations (1)
| Title |
|---|
| 王凤,黄泽琴,申忠如.逐次逼近型模数转换器的仿真模型.《现代电子技术》.2007,(第14期),43-45. * |
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