CN102882486A - Wave-particle converting device - Google Patents

Abstract

The invention discloses a wave-particle converting device, which comprises first end-point data generating devices, a second end-point data generating device and a third end-point data generating device, wherein the first end-point data generating devices are used for generating data outside end-point data which is necessary for the filtering of the input data and are arranged on the input sides of a first low-pass filter device and a first high-pass filter device; the second end-point data generating device is used for generating data outside a plurality of end points which are necessary for the filtering of low-frequency components supplied by a first data supplement device and is arranged between the first data supplement device and a second low-pass filter device; and the third end-point data generating device is used for generating data outside a plurality of end points which are necessary for the filtering of high-frequency components supplied by a second data supplement device and is arranged between the second data supplement device and a second high-pass filter device. The device provided by the invention can simply and effectively restore marginal data integrally.

Description

The wave-particle conversion equipment

Technical field

The present invention relates to a kind of wave-particle conversion equipment.

Background technology

As the existing technology in this field, the document of following record is arranged:

1980 IEEE ICASSP, Denver, CO. (1980-4) (U.S.) J.D.Johnston (A Filter Family Designed for Use in Quadrature Mirror Filter Banks) is p.291-294

As the wave-particle conversion method, the method for using the long symmetric form filter of even number of putting down in writing in the above-mentioned document was arranged in the past.Below, with figure its structure is described.Fig. 2 is a function composing illustration of the wave-particle conversion method of the past of putting down in writing in the above-mentioned document.This wave-particle conversion method is to input data X by one _I(i) carry out the wave-particle conversion, the low-frequency component X of a house one is got in output _L(2i) with radio-frequency component X _H(2i) wave-particle conversion side 10, and one to the wave-particle conversion and the low-frequency component X after getting a house one _L(2i) with radio-frequency component X _H(2i) carry out data filling and carry out the wave-particle inverse conversion, and output data X _o(i) reverse side change 20 forms.Between conversion side 10 and the reverse side change 20, for example can connect by transmission channel.

Conversion side 10 is by extracting input data X _I(i) low-frequency component X _L(i) the first low-pass filter 11, and extract input data X _I(i) radio-frequency component X _H(i) the first high pass filtering device 12, and to low-frequency component X _L(i) get an output of house X _LThe first data degradation device 13 (2i), and to radio-frequency component X _H(i) get an output of house X _HThe second data degradation device 14 (2i) forms.

Reverse side change 20 by being got the low-frequency component X of a house one _LInserting between each data (2i) does for one 0 replenishes and the output low frequency component X _L' (i) the first data filling device 21, and got the radio-frequency component X of a house one _HInsert one 0 between each data (2i) as a supplement and export radio-frequency component X _H' (i) the second data filling device 22, and extract X _L' (i) low-frequency component X _L" the second low-pass filter 23 (i), and extract X _H' (i) radio-frequency component X _H" the second high pass filtering device 24 (i), and low-frequency component X _L" (i) with radio-frequency component X _H" (i) be added together and take advantage of in 2 rear output data X _o(i) the device 25 that adds forms.The first, the second low- pass filter 11 and 23, and the first, the second high pass filtering device 12 and 24 is that symmetric form filter by the even number wavelength consists of.

Next the operation principle of before wave-particle conversion method described.At first in conversion side 10, the filtering parameter of setting the first low-pass filter 11 of Fig. 2 is h (k), and the filtering parameter of the first high pass filtering device 12 is g (k).In the first low-pass filter 11 and the first high pass filtering device 12 respectively to input data X _I(i) carry out filtering, the output low frequency component X _L(i) and radio-frequency component X _H(i).This filtering is processed, just as formula (1), by input data X _I(i) and filter factor h (k), g (k) take advantage of add calculate form.

[several 1] $X_L\left(i\right)={\mathrm{\Σ}}_{k=-N}^{N-1}h\left(k\right)X_I(i+k)$

$X_H\left(i\right)={\mathrm{\Σ}}_{k=-N}^{N-1}g\left(k\right)X_I(i+k)...\left(1\right)$

As from table 1 to as shown in the table 3, put down in writing a lot about having the symmetric form low-pass filtering coefficient h (k) of even number wavelength in the document before.

Table 1

Table 2

Table 3

Although only put down in writing filter factor half (h (0)～h (N-1)) to the table 3 at table 1, if be the coefficient from h (0) beginning but set these coefficients, so, remaining low-pass filtering coefficient becomes even symmetry take-1/2 as axle just as shown in the formula (2).

[several 2] h (k-1)=h (k) 0≤k＜N.................. (2)

For the first high pass filtering device 12, because its coefficient must satisfy the condition of QMF, therefore its filter factor can define with formula (3).The filter factor g (k) of the first high pass filtering device 12 can be as formula (4) thus, become odd symmetry take-1/2 as axle.

[several 3] g (k)=(1) ^kH (k) ... .... (3)

g(-k-1)＝-g(k)0≤k＜N................(4)

Because 13 couples of low-frequency component X of the first data degradation device _L(i) method of taking to get a house one is X with half of the low-frequency component of input _L(2i) export, the second data degradation device 14 is also to radio-frequency component X _H(i) method of taking to get a house one is X with half of the radio-frequency component of input _H(2i) export, therefore, in the filtering of formula (1) is processed, consider above-mentioned data degradation processing, its output data X _L(2i) and X _H(2i) can draw from following formula (5) and (6).

[several 4] $X_L\left(2i\right)={\mathrm{\Σ}}_{k=-N}^{N-1}h\left(k\right)X_I(2i+k)...\left(5\right)$

$X_H\left(2i\right)={\mathrm{\Σ}}_{k=-N}^{N-1}g\left(k\right)X_I(2i+k)...\left(6\right)$

Wherein filter wavelength is 2N.

Reversing side change 20, at first, 21 pairs in the first data filling device is got the low-frequency component X of a house one _L(2i), as formula (7), data of every data degradation are inserted one 0; Equally, 22 pairs in the second data filling device is got the radio-frequency component X of a house one _H(2i), as formula (7), data of every data degradation are inserted one 0.

X _L′(2i)＝X _L(2i)

X _L′(2i+1)＝0

X _H′(2i)＝X _H(2i).............(7)

X _H′(2i+1)＝0

Then, the filter factor h of the second low-pass filter 23 ^*(k) as formula (8), the data that form after the counter-rotating before and after being undertaken by the filter factor h (k) of the first low-pass filter 11 that will change side 10 are formed, and equally with this first low-pass filter 11 carry out the filtering processing.That is to say, the second low-pass filter 23 can be according to formula (9), to the low-frequency component X of input _L' (i) carry out low-pass filtering and output low frequency component X _L" (i).

[several 5] h ^*(k)=h (2N-1-k) ... ... (8)

${X_L}^{\′\′}\left(i\right)={\mathrm{\Σ}}_{k=-N+1}^N{h}^{*}\left(k\right){X_L}^{\′}\left(i\right)...\left(9\right)$

Simultaneously, the second high pass filtering device 24 is also the same with the second low-pass filter 23, shown in formula (10) and (11), the data that form after the counter-rotating before and after being undertaken by the filter factor g (k) of the first high pass filtering device 12 that will change side 10 are formed, and equally with this first high pass filtering device 12 carry out filtering and process, namely to the radio-frequency component X of input _H' (i) carry out high-pass filtering, and output radio-frequency component X _H" (i).

[several 6] g ^*(k)=g (2N-1-k) ... ... (10)

${X_H}^{\′\′}\left(i\right)={\mathrm{\Σ}}_{k=-N+1}^N{g}^{*}\left(k\right){X_H}^{\′}\left(i\right)...\left(11\right)$

Add device 25 just as shown in the formula (12), with the low-frequency component X of the second low-pass filter 23 outputs _L" (i) and the radio-frequency component X of the second high pass filtering device 24 output _H" (i) addition, and, in order to keep having a due proportion of of input and output data, with 2 times of its data of output X of the result that adds _o(i).

X _o(i)＝(X _L″(i)+X _H″(i))*2...........(12)

Satisfy above condition such as filter, its output data X _o(i) and input value X _I(i) equate.So, can be to input data X _I(i) hang down cutting apart of territory and high territory, and partition data is intactly combined again.

But the wave-particle conversion method of above record is not restored time-limited edge such as data such as sound and portraits and is taken into account, so can not intactly restore the edge of time-limited data return.Give an example, the most frequently used method of restoring as data edges is just like the method shown in Fig. 3 (a)～(d).Fig. 3 (a)～(d) is the schematic diagram of the marginal date restoring method in the former wave-particle conversion method.Fig. 3 (a) shows the contents processing of the first low-pass filter 11, Fig. 3 (b) shows the contents processing of the second low-pass filter 23, Fig. 3 (c) shows the contents processing of the first high pass filtering device 12, and Fig. 3 (d) shows the contents processing of the second high pass filtering device 24.In these figure, filtering length is 4, and the center of filtering is k=0, and the first and second low- pass filters 11 and 23 have h (2), h (1), h (0), (1) 4 coefficient of h.The first and second high pass filtering devices 12 and 24 have g (2), g (1), g (0), (1) 4 coefficient of g.In this case, the low-frequency component X of left end _L(0) and radio-frequency component X _H(0) can try to achieve from formula (13) respectively.

[several 7]

$X_L\left(0\right)={\mathrm{\Σ}}_{k=-2}^{1}h\left(k\right)X_I\left(k\right)$

$X_H\left(0\right)={\mathrm{\Σ}}_{k=-2}^{1}g\left(k\right)X_I\left(k\right)...\left(13\right)$

Here because of the data X that does not exist outside the data edges _I(2) and X _I(1), thus these data can as Fig. 3 (a) and (c) and shown in the formula (14) like that, turning back by internal data substitutes.

X _I(-2)＝X _I(2)

X _I(-1)＝X _I(1).......(14)

About reversing side change 20, can draw its filter factor h from formula (8) and (9) ^*(k) and g ^*(k) be centered by k=0, to have respectively coefficient h ^*(1), h ^*(0), h ^*(1), h ^*(2) and g ^*(1), g ^*(0), g ^*(1), g ^*(2).So reversing side change 20 in order to restore the X of left end _I(0), can look like above-mentioned formula (9), (11) and (12) use formula (15) to perform calculations like that.

[several 8]

${X_L}^{\′\′}\left(0\right)={\mathrm{\Σ}}_{k=-1}^2{h}^{*}\left(k\right){X_L}^{\′}\left(i\right)$

${X_H}^{\′\′}\left(0\right)={\mathrm{\Σ}}_{k=-1}^2{g}^{*}\left(k\right){X_H}^{\′}\left(i\right)$

X ₀(0)＝2 ^*(X _L″(0)+X _H″(0))..........(15)

X _L' and X _H' because data of every data degradation have been inserted one 0, so X _L' (1) and X _H' (1) has just become 0.X _L' (1) and X _H' (1) is because can use respectively X _L' (1) and X _H' (1) substitutes, so can draw X ₀(0) and input data X _I(0) equates.Thereby the recovery that left end can be complete.But when the method that right-hand member is used and left end is same was restored, when data length was even number, conversion side 10 was cast out right-hand member data (2N-1).Reverse side change 20 in order to restore right-hand member data (2N-1), need to use (2N-2), (2N-1) (=0, insert again 0 because of after casting out), 2N is not (because exist, so replace with 2N-2), and (2N+1) (principle of inserting 0 by data of data degradation is 0) 4 numbers, and must satisfy X _L(2N)=X _LCondition (2N-2).But, as Fig. 3 (b), with mode before, namely use formula (16) to calculate X _L(2N) and X _LIn the time of (2N-2), can find that significantly both are also unequal in fact.So X _IRecovery that (2N-1) can not be complete.For the first and second high pass filtering devices 12 and 24, also can obtain same unequal result.

X _L(2N-2)＝h(-2)X _I(2N-4)+h(-1)X _I(2N-3)+h(0)X _I(2N-2)+h(1)X _I(2N-1)

X _L(2N)＝h(-2)X _I(2N-2)+h(-1)X _I(2N-1)+h(0)X _I(2N-2)+h(1)X _I(2N-3)..........(16)

And, also be same when data length is odd number, (b) can find out from Fig. 3 (a), the condition of the complete recovery of right-hand member (being formula (17)) is not met.So the numerical value of right-hand member can not intactly be restored.

X _L(2N-2)＝X _L(2N+2)

X _H(2N-2)＝X _H(2N+2)..........(17)

Summary of the invention

The technical problem to be solved in the present invention is can not restore the defective of returning to the data integrity ground at edge in order to overcome prior art, on the basis of original technology, by setting up the end-point data generating apparatus, thus provide one not only simple but also very effectively can intactly restore the wave-particle conversion equipment of returning to marginal date.

The present invention solves above-mentioned technical problem by following technical proposals: a kind of wave-particle conversion equipment, it has the long symmetric form filter of even number filtering, this wave-particle conversion equipment comprises for the input data being carried out the conversion side of wave-particle conversion and being used for carrying out the reverse side change of inverse conversion through the data of wave-particle conversion

This conversion side comprises: for the first low-pass filter of the low-frequency component that obtains these input data, for the first high pass filtering device of the radio-frequency component that obtains these input data, for will be got by the low-frequency component that this first low-pass filter obtains the first data degradation device of a house one every a data point, and be used for to be got the second data degradation device of a house one every a data point by the radio-frequency component that this first high pass filtering device obtains

This reverse side change comprises: insert the first data filling device of one 0 every a data point for the low-frequency component of the data of changing to this process wave-particle, for inserting the second data filling device of one 0 every a data point through the radio-frequency component of the data of wave-particle conversion to this, be used for obtaining the second low-pass filter through the low-frequency component that replenishes of this first data filling device, be used for obtaining the second high pass filtering device through the radio-frequency component that replenishes of this second data filling device, and be used for low-frequency component that this second low-pass filter and this second high pass filtering device are obtained and radio-frequency component mutually adduction multiply by the device that adds of 2 rear outputs

Its characteristics are, this wave-particle conversion equipment also comprises:

Be used for being created on the first end-point data generating apparatus of the data outside the end-point data of necessity when these input data are carried out filtering and process, be located at the input side of this first low-pass filter and this first high pass filtering device,

Be used for generating the second end-point data generating apparatus that the outer side data of several necessary end points is processed in filtering for the low-frequency component that replenishes through this first data filling device, be located between this first data filling device and this second low-pass filter,

Be used for generating the 3rd end-point data generating apparatus that the outer side data of several necessary end points is processed in filtering for the radio-frequency component that replenishes through this second data filling device, be located between this second data filling device and this second high pass filtering device.

Wherein, this first end-point data generating apparatus is used for for these input data, begins the data of end points inside are outwards turned back to generate data outside the end points of these input data successively from the end points of these input data.

Wherein, this the second end-point data generating apparatus is used for inserting one 0 to the left end point front of the low-frequency component of inputting first, then for the data rows that is inserted into this low-frequency component of 0, the data of the end points inboard of this data rows are outwards turned back to generate successively the data in the end points outside of this data rows in the mode of the end points that do not comprise this data rows.

Wherein, the 3rd end-point data generating apparatus is used for inserting one 0 to the left end point front of the radio-frequency component of inputting first, then for the data rows that is inserted into this radio-frequency component of 0, in the mode of the end points that do not comprise this data rows with the backward outer data of turning back to generate the end points outside of this data rows of the data of the end points inboard of this data rows successively reverses sign.

The wave-particle conversion equipment that consists of by the present invention, after the input data inputed to the first end-point data generating apparatus of conversion side, this first end-point data generating apparatus was just by the data outside the method generation two ends that the data at the two ends inboard (comprising end points) of input data are turned back from inside to outside successively.Data by the output of the first end-point data generating apparatus extract its low-frequency component through the first low-pass filter, and carry out the low-frequency component that the data degradation of getting a house one generates half through the first data degradation device.Simultaneously, the data of being exported by the first end-point data generating apparatus extract its radio-frequency component through the first high pass filtering device, and carry out the radio-frequency component that the data degradation of getting a house one generates half through the second data degradation device.

Reversing side change, the low-frequency component after the wave-particle conversion is sent to the second end-point data generating apparatus after the first data filling device replenishes.In the second end-point data generating apparatus, its low-frequency component is inserted into one 0 as new front end at its front end, then, to the data rows of its new low-frequency component, the data in the generation end points outside of turning back successively from inside to outside from the two ends (not comprising end-point data) of this data rows.Then the data exported of this second end-point data generating apparatus extract its low-frequency component through the second low-pass filter.Simultaneously, the radio-frequency component after the wave-particle conversion is sent to the 3rd end-point data generating apparatus after replenishing via the second data filling device.In the 3rd end-point data generating apparatus, its radio-frequency component is inserted into one 0 as new front end at its front end, then, to the data rows of its new radio-frequency component, turn back successively from inside to outside from the two ends (not comprising end-point data) of this data rows and change the data that its symbol generates end points outside.Then the data exported of the 3rd end-point data generating apparatus extract its radio-frequency component through the second high pass filtering device.Finally, the low-frequency component that extracts from the second low-pass filter and the radio-frequency component that extracts from the second high pass filtering device give mutually adduction and take advantage of in 2 and exported.

Positive progressive effect of the present invention is: as above-mentioned detailed description, according to the present invention, conversion side in the symmetric form wave-particle conversion with even number wavelength, be provided with the first end-point data generating apparatus of the data that generate input outside, data two ends in the input side of the first low-pass filter and the first high pass filtering device, and reversing side change, the 3rd end-point data generating apparatus of the data of the outside, two ends of the radio-frequency component after the second end-point data generating apparatus of the data of the outside, two ends of the low-frequency component after being provided with generated data between first and second data filling device and the second low-pass filter and the second high pass filtering device and replenishing and generated data replenish, no matter data length is even number or the occasion of odd number, can more simply, the more complete more efficient recovery in the two ends of data be returned.

Description of drawings

Fig. 1 represents the functional block diagram of the wave-particle conversion equipment of embodiments of the invention.

Fig. 2 is the functional block diagram of wave-particle conversion equipment in the past.

Fig. 3 is the two ends data recovery schematic diagram in the wave-particle conversion equipment of Fig. 2.

Fig. 4 is the two ends data recovery schematic diagram in the wave-particle conversion equipment of Fig. 1.

Description of reference numerals:

10 conversion sides

11,23 first, the second low-pass filter

12,24 first, the second high pass filtering device

The 13,14 first, second data degradation device

20 reverse side change

The 21,22 first, second data filling device

25 devices that add

31,32,33 first, the second, the three end-point data generating apparatus

X _I(i) input data

X _o(i) output data

Embodiment

Fig. 1 is the Fumction display figure of wave-particle conversion equipment of the even number optical wavelength symmetric form filtering of one embodiment of the present of invention.Given with common symbol with the key element that the former technology among Fig. 2 is common.This wave-particle conversion equipment was with in the past the same: have the first low-pass filter 11, the first high pass filtering devices 12 in conversion side 10, and the first, the second data degradation device 13 and 14; Have the first, the second data filling device 21 and 22, the second low-pass filters, 23, the second high pass filtering devices 24 in reverse side change 20, and the device 25 that adds.But added with lower device.Namely in conversion side 10, be provided with first an end-point data generating apparatus 31 at the first low-pass filter 11 and the first high pass filtering device 12 front ends.And, reversing side change 20, between the first data filling device 21 and the second low-pass filter 23, be provided with the second end-point data generating apparatus 32; Between the second data filling device 22 and the second high pass filtering device 24, be provided with the 3rd end-point data generating apparatus 33.The first end-point data generating apparatus 31 has input value X _I(i) data that the data communication device that carries out the required outside, two ends of wave-particle when conversion is crossed the inboard, two ends are outwards turned back successively and are generated the function of its outside numerical value.The second end-point data generating apparatus 32 has the low-frequency component X that replenishes out for from the first data filling device 21 that reverses side change 20 _L' (i), at first insert one 0 as new end points at its front end, then (do not comprise end-point data) at its two ends and turn back successively from inside to outside the function of the data in the required outside, two ends when generating the wave-particle conversion.The 3rd end-point data generating apparatus 33 has the radio-frequency component X that replenishes out for from the second data filling device 22 that reverses side change 20 _H' (i) at first insert one 0 as new end points at its front end, then (do not comprise end-point data) at its two ends and turn back successively from inside to outside and the function of the data in the required outside, two ends when changing its its symbol and generating wave-particle conversion.

Fig. 4 (a)～(b) is that the end-point data of the wave-particle conversion equipment of Fig. 1 restores schematic diagram.The contents processing of Fig. 4 (a) expression the first low-pass filter 11; The contents processing of Fig. 4 (b) expression the second low-pass filter 23.The contents processing of Fig. 4 (c) expression the first high pass filtering device 12; The contents processing of Fig. 4 (d) expression the second high pass filtering device 24.Describe with reference to these work and effects to Fig. 1 below figure.At first the first former low-pass filter 11 and the filter factor h (k) in the first high pass filtering device 12, the middle mind-set k=1 of g (k) moves, that is to say, make filter 11,12 become the symmetric form filter with 1/2 axle, the formula (2) of note and formula (4) have just become following formula (18), (19) like this.

[several 9]

h(-k)＝h(k+1) 0＜k≤N............(18)

g(-k)＝g(k+1) 0＜k≤N.............(19)

Thus, the processing of the first low-pass filter 11 and the first high pass filtering device 12 just can represent with following formula (20) and (21).

[several 10]

$X_L\left(i\right)={\mathrm{\Σ}}_{k=-N+1}^{N}h\left(k\right)X_I(i+k)...\left(20\right)$

$X_H\left(i\right)={\mathrm{\Σ}}_{k=-N+1}^{N}g\left(k\right)X_I(i+k)...\left(21\right)$

In the example of Fig. 4, the former example of wavelength and Fig. 3 is set as equally at 4 o'clock, low-frequency component X _L(i) and radio-frequency component X _H(i) can represent with following formula (22).

[several 11]

$X_L\left(i\right)={\mathrm{\Σ}}_{k=-1}^{2}h\left(k\right)X_I(i+k)$

$X_H\left(i\right)={\mathrm{\Σ}}_{k=-1}^{2}g\left(k\right)X_I(i+k)...\left(22\right)$

The first end-point data generating apparatus 31 is for input value X in this formula (22) _I(i) front end generates outer side data as formula (23).Be X _I(1)=X _I(0)

[several 12]

X _I(-k)＝X _I(k-1) k≥1........(23)

At input value X _I(i) rear end, when endpoint location was M, the first end-point data generating apparatus 31 can generate the data in the end points outside as formula (24).

[several 13]

X _I(M-1+k)＝X _I(M-k) k≥1.........(24)

After the processing of these data through the first low-pass filter 11 and the first high pass filtering device 12, by the first and second data degradation devices 13 and 14 carry out data get one the house one processing.

Reversing side change, low-frequency component and radio-frequency component that the first and second data filling devices 21 and 22 pairs of quilts are got behind the house one replenish respectively processing, and its result is sent to respectively the second and the 3rd end-point data generating apparatus 32 and 33.At the second end-point data generating apparatus 32, at first, the low-frequency component X after replenishing by the first data filling device 21 _L' (i) front is inserted one 0 makes X _L' (1)=0.Follow the by formula data of (25) generation front end.

[several 14]

X _L′(-k-1)＝X _L′(k-1) k≥1...........(25)

At the filter factor h that reverses side change 20, the second low-pass filters 23 ^*(k) processing of the second low-pass filter 23 in the example of Fig. 4 can be represented by formula (8), so can be represented by formula (26).

[several 15]

${X_L}^{\′\′}\left(i\right)={\mathrm{\Σ}}_{k=-2}^1{h}^{*}\left(k\right){X_L}^{\′}(i+k)...\left(26\right)$

So in order to restore front end data, shown in Fig. 4 (b), X _L(2)=X _L(0) is necessary condition.On the other hand, in conversion side 10, behind above-mentioned formula (22) and (23), can obtain following formula (27).That is,

X _L(-2)＝h(-1)X _I(2)+h(0)X _I(1)+h(1)X _I(0)+h(2)X _I(0)

X _L(0)＝h(-1)X _I(0)+h(0)X _I(0)+h(1)X _I(1)+h(2)X _I(2)..........(27)

Consider the symmetric form of the filtration coefficient h (k) in the first low-pass filter 11, i.e. h (1)=h (2), h (0)=h (1) is updated to formula (27) with it and can obtains X _L(2)=X _L(0), namely front end data can correctly restore.Be the occasion of even number (2N) when data length, the second end-point data generating apparatus 32 will according to formula (28), carry out turning back of data take (2N-1) as axle.That is,

[several 16]

X _L′(2N-1+k)＝X _L′(2N-1-k) k≥1..........(28)

In this occasion, the second low-pass filter 23 is as will correctly restoring X _L" (2N-1), shown in Fig. 4 (b), must satisfy formula (29).

X _L(2N-2)＝X _L(2N)................(29)

On the other hand, in conversion side 10, if generate X _L(2N), use above-mentioned formula (22) and (24), X _L(2N) and X _L(2N-2) can try to achieve from following formula (30).That is,

X _L(2N)＝h(-1)X _I(2N-1)+h(0)X _I(2N-1)+h(1)X _I(2N-2)+h(2)X _I(2N-3)

X _L(2N-2)＝h(-1)X _I(2N-3)+h(0)X _I(2N-2)+h(1)X _I(2N-1)+h(2)X _I(2N-1).....(30)

The same symmetric form that utilizes filter factor h (k) in the first low-pass filter 11 can draw X _L(2N)=X _L(2N-2).Therefore, use the second and the 3rd end-point data generating apparatus 31 and 32, can satisfy the two ends of low-frequency component and restore condition.Being the occasion of odd number (2N+1) when data length, can knowing from Fig. 4 (b), is to restore X _L" (2N), as long as append X _L' (2N+1) (=0) can draw its condition and satisfy.

In the 3rd end-point data generating apparatus 33, at first, the radio-frequency component X that replenishes out from the second data filling device 22 _H' (i) front end inserts one 0, i.e. X _H' (1)=0.Then at the front end of data with X _H' (1) is axle, and by formula (31) are carried out the backward outside of sign-inverted to the data of end points inboard and turned back.

[several 17]

X _H′(-k-1)＝-X _H′(k-1) k≥1......(31)

In reversing side change 20, as low-frequency component, for restoring the radio-frequency component X of front end _H" (0) is as long as satisfy formula (32).

X _H(-2)＝-X _H(0)........(32)

On the one hand, changing side as generating X _H(2) can utilize formula (22) and (23), as formula (33), try to achieve X _H(2) and X _H(0).

X _H(-2)＝g(-1)X _I(2)+g(0)X _I(1)+g(1)X _I(0)+g(2)X _I(0)

X _H(0)＝g(-1)X _I(0)+g(0)X _I(0)+g(1)X _I(1)+g(2)X _I(2)......(33)

And, with the odd symmetry of filter factor g (k) in the first high pass filtering device 12 be g (1)=-g (2) and g (0)=-g (1) substitution formula (33) after, can draw X _H(2)=-X _H(0).In the rear end, when data length is M, the 3rd end-point data generating apparatus 33 will take end-point data (M-1) as axle, generate marginal date with formula (34).

[several 18]

X _H′(M-1-k)＝-X _H′(M-1+k) k≥1...............(34)

Be the occasion of even number when data are long, shown in Fig. 4 (b), for restoring X _H" (2N-1), must satisfy X _H(2N-2)=-X _HCondition (2N).On the other hand, in conversion side 10, utilize formula (21) and (24) to generate X _HIn the time of (2N), X _H(2N) and X _H(2N-2) can draw from formula (36).

X _H(2N)＝g(-1)X _I(2N-1)+g(0)X _I(2N-1)+g(1)X _I(2N-2)+g(2)X _I(2N-3)

X _H(2N-2)＝g(-1)X _I(2N-3)+g(0)X _I(2N-2)+g(1)X _I(2N-1)+g(2)X _I(2N-1)...(36)

In the odd symmetry substitution formula with filter factor g (k) in the first high pass filtering device 12, the same with the occasion of front end, can learn that the condition of formula (35) is satisfied.

Be the occasion of odd number when data length, can from Fig. 4 (d), find out the X of rear end _H" (2N) can equally with the occasion of low-frequency component be restored.The output valve of these second low-pass filters 23 and the second high pass filtering device 24 is added after device 25 additions, again its result be multiply by 2 with data X _o(i) output.

As described above, the present embodiment by the first to the 3rd end-point data generating apparatus 31,32,33 is set, makes marginal date be able to complete and efficient the recovery among the wave-particle conversion.In addition, in above-described embodiment, change the low-frequency component X who gives up after that gets of side 10 _L(2i) with radio-frequency component X _H(2i) be directly inputted in the reverse side change 20.But, even to conversion the first and second data degradation devices 13 of side 10 and 14 output data compress wait process after, again the result is input in the data filling device of reverse side change 20, also can obtain the essentially identical result with above-mentioned embodiment.

Although more than described the specific embodiment of the present invention, it will be understood by those of skill in the art that these only illustrate, protection scope of the present invention is limited by appended claims.Those skilled in the art can make various changes or modifications to these execution modes under the prerequisite that does not deviate from principle of the present invention and essence, but these changes and modification all fall into protection scope of the present invention.

Claims (4)

1. wave-particle conversion equipment, it has the long symmetric form filter of even number filtering, and this wave-particle conversion equipment comprises for the input data being carried out the conversion side of wave-particle conversion and be used for carrying out the reverse side change of inverse conversion through the data of wave-particle conversion,

This conversion side comprises: for the first low-pass filter of the low-frequency component that obtains these input data, for the first high pass filtering device of the radio-frequency component that obtains these input data, for will be got by the low-frequency component that this first low-pass filter obtains the first data degradation device of a house one every a data point, and be used for to be got the second data degradation device of a house one every a data point by the radio-frequency component that this first high pass filtering device obtains

This reverse side change comprises: insert the first data filling device of one 0 every a data point for the low-frequency component of the data of changing to this process wave-particle, for inserting the second data filling device of one 0 every a data point through the radio-frequency component of the data of wave-particle conversion to this, be used for obtaining the second low-pass filter through the low-frequency component that replenishes of this first data filling device, be used for obtaining the second high pass filtering device through the radio-frequency component that replenishes of this second data filling device, and be used for low-frequency component that this second low-pass filter and this second high pass filtering device are obtained and radio-frequency component mutually adduction multiply by the device that adds of 2 rear outputs

It is characterized in that, this wave-particle conversion equipment also comprises:

Be used for being created on the first end-point data generating apparatus of the data outside the end-point data of necessity when these input data are carried out filtering and process, be located at the input side of this first low-pass filter and this first high pass filtering device,

Be used for generating the second end-point data generating apparatus that the outer side data of several necessary end points is processed in filtering for the low-frequency component that replenishes through this first data filling device, be located between this first data filling device and this second low-pass filter,

Be used for generating the 3rd end-point data generating apparatus that the outer side data of several necessary end points is processed in filtering for the radio-frequency component that replenishes through this second data filling device, be located between this second data filling device and this second high pass filtering device.

2. wave-particle conversion equipment as claimed in claim 1, it is characterized in that, this the first end-point data generating apparatus is used for for these input data, begins the data of end points inside are outwards turned back to generate data outside the end points of these input data successively from the end points of these input data.

3. wave-particle conversion equipment as claimed in claim 1, it is characterized in that, this the second end-point data generating apparatus is used for inserting one 0 to the left end point front of the low-frequency component of inputting first, then for the data rows that is inserted into this low-frequency component of 0, the data of the end points inboard of this data rows are outwards turned back to generate successively the data in the end points outside of this data rows in the mode of the end points that do not comprise this data rows.

4. wave-particle conversion equipment as claimed in claim 1, it is characterized in that, the 3rd end-point data generating apparatus is used for inserting one 0 to the left end point front of the radio-frequency component of inputting first, then for the data rows that is inserted into this radio-frequency component of 0, in the mode of the end points that do not comprise this data rows with the backward outer data of turning back to generate the end points outside of this data rows of the data of the end points inboard of this data rows successively reverses sign.

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