CN102882486B - 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

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, there is the following document recorded:

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

In the past as wave-particle conversion method, there is the method using the long symmetric form filter of even number recorded in above-mentioned document.Below, illustrate that it constructs with figure.Fig. 2 is that a function of the wave-particle conversion method of the past recorded in above-mentioned document forms illustration.This wave-particle conversion method is to input data X by one _ii () carries out wave-particle conversion, export the low-frequency component X getting a house one _l(2i) with radio-frequency component X _h(2i) wave-particle conversion side 10, and one to be changed wave-particle and 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 wave-particle inverse conversion, and exporting data X _oi the reverse side change 20 of () formed.Between conversion side 10 and reverse side change 20, such as, can be connected by transmission channel.

Conversion side 10 is by extraction input data X _ithe low-frequency component X of (i) _lfirst low-pass filter 11 of (i), and extract input data X _ithe radio-frequency component X of (i) _hfirst high pass filtering device 12 of (i), and to low-frequency component X _li () is carried out getting a house one and is exported X _l(2i) the first data degradation device 13, and to radio-frequency component X _hi () is carried out getting a house one and is exported X _h(2i) the second data degradation device 14 forms.

Reverse side change 20 by being got the low-frequency component X of a house one _l(2i) inserting between each data does for one 0 supplements and output low frequency component X _lthe first data filling device 21 of ' (i), and got the radio-frequency component X of a house one _h(2i) one 0 is inserted between each data as a supplement and export radio-frequency component X _hthe second data filling device 22 of ' (i), and extract X _lthe low-frequency component X of ' (i) _l" second low-pass filter 23 of (i), and extract X _hthe radio-frequency component X of ' (i) _h" second high pass filtering device 24 of (i), and low-frequency component X _l" (i) and radio-frequency component X _h" (i) is added together and takes advantage of and export data X after 2 _oi the device 25 that adds of () forms.First, second low-pass filter 11 and 23, and the first, second high pass filtering device 12 and 24 is made up of the symmetric form filter of even number wavelength.

Next the operation principle of wave-particle conversion method is before described.First in conversion side 10, the filtering parameter of first low-pass filter 11 of setting Fig. 2 is h (k), and the filtering parameter of the first high pass filtering device 12 is g (k).Respectively to input data X in the first low-pass filter 11 and the first high pass filtering device 12 _ii () carries out filtering, output low frequency component X _l(i) and radio-frequency component X _h(i).This filtering process, just as formula (1), by input data X _ii () and filter factor h (k), the taking advantage of to add to calculate of g (k) formed.

[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 shown in from table 1 to table 3, describe a lot about symmetric form low-pass filtering coefficient h (k) having even number wavelength in document before.

Table 1

Table 2

Table 3

Although only describe the half (h (0) ~ h (N-1)) of filter factor in table 1 to table 3, if but set these coefficients as the coefficient from h (0), so, remaining low-pass filtering coefficient just as formula (2) Suo Shi, with-1/2 for axle becomes even symmetry.

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

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

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

g(-k-1)＝-g(k)0≤k＜N................(4)

Due to the first data degradation device 13 couples of low-frequency component X _li () takes the method for getting a house one by the half of the low-frequency component of input and X _l(2i) export, the second data degradation device 14 is also to radio-frequency component X _hi () takes the method for getting a house one by the half of the radio-frequency component of input and X _h(2i) export, therefore, in the filtering process of formula (1), consider above-mentioned data degradation process, it exports data X _l(2i) and X _h(2i) can draw from following formula (5) and (6).

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

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

Wherein filter wavelength is 2N.

In reverse side change 20, first, the first data filling device 21 is to the low-frequency component X getting a house one _l(2i), as formula (7), every data degradation data insert one 0; Equally, the second data filling device 22 is to the radio-frequency component X getting a house one _h(2i), as formula (7), every data degradation data insert 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 () is as formula (8), be made up of the data formed after reversion before and after filter factor h (k) of the first low-pass filter 11 of conversion side 10 is carried out, and equally with this first low-pass filter 11 carried out filtering process.That is, the second low-pass filter 23 can according to formula (9), to the low-frequency component X of input _l' (i) carries out low-pass filtering, and output low frequency component X _l" (i).

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

${X_L}^{\&prime;\&prime;}\left(i\right)={\mathrm{\&Sigma;}}_{k=-N+1}^N{h}^{*}\left(k\right){X_L}^{\&prime;}\left(i\right)...\left(9\right)$

Simultaneously, second high pass filtering device 24 also with the second low-pass filter 23 is the same, shown in formula (10) and (11), the data formed after reversion before and after being undertaken by filter factor g (k) of the first high pass filtering device 12 by conversion side 10 formed, and equally with this first high pass filtering device 12 carry out filtering process, namely to the radio-frequency component X of input _h' (i) carries out high-pass filtering, and exports radio-frequency component X _h" (i).

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

${X_H}^{\&prime;\&prime;}\left(i\right)={\mathrm{\&Sigma;}}_{k=-N+1}^N{g}^{*}\left(k\right){X_H}^{\&prime;}\left(i\right)...\left(11\right)$

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

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

As filter meets above condition, it exports data X _o(i) and input numerical value X _ii () is equal.So, can to input data X _ii () carries out the segmentation in low territory and high territory, and partition data is intactly combined again.

But the wave-particle conversion method of above record is not restored the time-limited edge as the data such as sound and portrait and is taken into account, so the edge of time-limited data intactly can not be restored.Give an example, as data edges restore the most frequently used method 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 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 figures, 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), h (1) 4 coefficient.First and second high pass filtering devices 12 and 24 have g (-2), g (-1), g (0), g (1) 4 coefficient.In this case, the low-frequency component X of left end _land radio-frequency component X (0) _h(0) can try to achieve from formula (13) respectively.

[several 7]

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

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

Here because there is not the data X outside data edges _i(-2) and X _i(-1), so these data can as shown in Fig. 3 (a) and (c) and formula (14), to be turned back substitute by internal data.

X _I(-2)＝X _I(2)

X _I(-1)＝X _I(1).......(14)

About reverse side change 20, its filter factor h can be drawn from formula (8) and (9) ^*(k) and g ^*k () has coefficient h respectively centered by k=0 ^*(-1), h ^*(0), h ^*(1), h ^*and g (2) ^*(-1), g ^*(0), g ^*(1), g ^*(2).So in reverse side change 20 in order to restore the X of left end _i(0), can as above-mentioned formula (9), (11) and (12) use formula (15) to calculate like that.

[several 8]

${X_L}^{\&prime;\&prime;}\left(0\right)={\mathrm{\&Sigma;}}_{k=-1}^2{h}^{*}\left(k\right){X_L}^{\&prime;}\left(i\right)$

${X_H}^{\&prime;\&prime;}\left(0\right)={\mathrm{\&Sigma;}}_{k=-1}^2{g}^{*}\left(k\right){X_H}^{\&prime;}\left(i\right)$

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

X _l' and X _h' because every data degradation data insert one 0, so X _l' (1) and X _h' (1) just becomes 0.X _l' (-1) and X _h' (-1) is because can use X respectively _l' (1) and X _h' (1) substitute, so can draw X ₀(0) and input data X _i(0) equal.Thus left end can be complete recovery.But when the method that right-hand member is used and left end is same is restored, when data length is even number time, conversion side 10 is cast out right-hand member data (2N-1).Reverse side change 20 to restore right-hand member data (2N-1), need to use (2N-2), (2N-1) (=0,0 is inserted again) after casting out, 2N is not (because exist, so replace with 2N-2), and (2N+1) (principle inserted 0 by data degradation data is 0) 4 numbers, and must X be met _l(2N)=X _l(2N-2) condition.But, by mode before as Fig. 3 (b), namely use formula (16) to calculate X _l(2N) and X _l(2N-2) time, can find significantly in fact both and unequal.So X _i(2N-1) can completely is not restored.For the first and second high pass filtering devices 12 and 24, same unequal result also can be obtained.

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 be also same when data length is odd number time, as can be seen from Fig. 3 (a) (b), the condition (i.e. formula (17)) of the complete recovery of right-hand member 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 the data integrity at edge can not be restored the defect of returning to overcome prior art, on the basis of original technology, by setting up end-point data generating apparatus, thus provide one not only simple but also effectively marginal date intactly can be restored the wave-particle conversion equipment of returning.

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 carrying out the conversion side of wave-particle conversion and the reverse side change for carrying out inverse conversion to the data changed through wave-particle to input data

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

This reverse side change comprises: for inserting the first data filling device of 0 every a data point to this low-frequency component through the data of wave-particle conversion, for inserting the second data filling device of 0 every a data point to this radio-frequency component through the data of wave-particle conversion, for obtaining the second low-pass filter of the low-frequency component supplemented through this first data filling device, for obtaining the second high pass filtering device of the radio-frequency component supplemented through this second data filling device, and be multiplied by the 2 rear devices that add exported for the low-frequency component this second low-pass filter and this second high pass filtering device obtained with radio-frequency component phase adduction,

Its feature is, this wave-particle conversion equipment also comprises:

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

For generating the second end-point data generating apparatus of the necessary several end points outer data of filtering process for the low-frequency component supplemented through this first data filling device, be located between this first data filling device and this second low-pass filter,

For generating the 3rd end-point data generating apparatus of the necessary several end points outer data of filtering process for the radio-frequency component supplemented 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, the data of end points inside is outwards turned back successively the data generated outside the end points of these input data from the end points of these input data.

Wherein, this the second end-point data generating apparatus is used for first before the left end point of the low-frequency component of input, inserting one 0, then for the data rows being inserted into this low-frequency component of 0, in the mode not comprising the end points of this data rows, the data inside the end points of this data rows are outwards turned back successively the data generated outside the end points of this data rows.

Wherein, 3rd end-point data generating apparatus is used for first before the left end point of the radio-frequency component of input, inserting one 0, then for the data rows being inserted into this radio-frequency component of 0, not comprise the mode of the end points of this data rows by the data outside backward for the data inside the end points of this data rows successively reverses sign outer end points turning back to generate this data rows.

The wave-particle conversion equipment formed by the present invention, after input data input to the first end point data generating apparatus of conversion side, this first end point data generating apparatus generates the data outside two ends with regard to the method for being turned back successively from inside to outside by the data of (comprising end points) inside the two ends to input data.The data exported by first end point data generating apparatus extract its low-frequency component through the first low-pass filter, and carry out through the first data degradation device the low-frequency component that the data degradation getting a house one generates half.Meanwhile, the data exported by first end point data generating apparatus extract its radio-frequency component through the first high pass filtering device, and carry out through the second data degradation device the radio-frequency component that the data degradation getting a house one generates half.

In reverse side change, the low-frequency component after wave-particle conversion, after the first data filling device supplements, is sent to the second end-point data generating apparatus.In the second end-point data generating apparatus, its low-frequency component is inserted into one 0 as new front end in its front end, then, to the data rows of its new low-frequency component, the data generated outside end points of turning back successively from inside to outside from the two ends (not comprising end-point data) of this data rows.Then the data that export of this second end-point data generating apparatus, extract its low-frequency component through the second low-pass filter.Meanwhile, the radio-frequency component after wave-particle conversion is sent to the 3rd end-point data generating apparatus after supplementing 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 in 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 outside its symbol generation end points.Then the data that export 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 extracted from the second low-pass filter and the radio-frequency component extracted from the second high pass filtering device give phase adduction and take advantage of and exported in 2.

Positive progressive effect of the present invention is: as above-mentioned detailed description, according to the present invention, in the conversion side that the symmetric form wave-particle with even number wavelength is changed, the first end point data generating apparatus generating the data inputting outside, data two ends is provided with in the input side of the first low-pass filter and the first high pass filtering device, and in reverse side change, the 3rd end-point data generating apparatus of the data of the outside, two ends of the second end-point data generating apparatus of the data of the outside, two ends of the low-frequency component after generating data filling and the radio-frequency component after generating data filling is provided with between first and second data filling device and the second low-pass filter and the second high pass filtering device, regardless of the occasion that data length is even number or odd number, can be more simply, more complete for the two ends of data recovery is effectively returned.

Accompanying drawing explanation

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

13,14 first, the second data degradation device

20 reverse side change

21,22 first, the second data filling device

25 add device

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

X _i(i) input data

X _oi () exports data

Embodiment

Fig. 1 is the Fumction display figure of the wave-particle conversion equipment of the even number optical wavelength symmetric form filtering of one embodiment of the present of invention.The key element common with the former technology in Fig. 2 imparts with common symbol.This wave-particle conversion equipment is with the same in the past: have the first low-pass filter 11, first high pass filtering device 12 in conversion side 10, and the first, second data degradation device 13 and 14; First is had, the second data filling device 21 and 22, second low-pass filter 23, second high pass filtering device 24, and the device 25 that adds in reverse side change 20.But addition of with lower device.Namely, in conversion side 10, a first end point data generating apparatus 31 is provided with at the first low-pass filter 11 and the first high pass filtering device 12 front end.And, in reverse 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; The 3rd end-point data generating apparatus 33 is provided with between the second data filling device 22 and the second high pass filtering device 24.First end point data generating apparatus 31 has input numerical value X _ii () data of carrying out outside two ends required when wave-particle is changed outwards are turned back successively by the data inside two ends and are generated the function of numerical value outside it.Second end-point data generating apparatus 32 has the low-frequency component X for supplementing out from the first data filling device 21 reversing side change 20 _l' (i), first inserts one 0 as new end points in its front end, the function of the data generated outside two ends required when wave-particle is changed of then turning back successively from inside to outside at its two ends (not comprising end-point data).3rd end-point data generating apparatus 33 has the radio-frequency component X for supplementing out from the second data filling device 22 reversing side change 20 _h' (i) first inserts one 0 as new end points in its front end, then turns back successively from inside to outside at its two ends (not comprising end-point data) and changes the function that its its symbol generates the data outside two ends required when wave-particle is changed.

Fig. 4 (a) ~ (b) is that the end-point data of the wave-particle conversion equipment of Fig. 1 restores schematic diagram.Fig. 4 (a) represents the contents processing of the first low-pass filter 11; Fig. 4 (b) represents the contents processing of the second low-pass filter 23.Fig. 4 (c) represents the contents processing of the first high pass filtering device 12; Fig. 4 (d) represents the contents processing of the second high pass filtering device 24.With reference to these below figure, the work of Fig. 1 and effect are described.First filter factor h (k) in the first former low-pass filter 11 and the first high pass filtering device 12, the center of g (k) is moved to k=1, that is, make filter 11,12 become the symmetric form filter with 1/2 axle, the formula (2) remembered like this and formula (4) just become following formula (18), (19).

[several 9]

h(-k)＝h(k+1) 0＜k≤N............(18)

g(-k)＝g(k+1) 0＜k≤N.............(19)

Thus, the process 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]

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

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

In the example of Fig. 4, when the former example of wavelength and Fig. 3 is set as 4 equally, low-frequency component X _l(i) and radio-frequency component X _hi () can represent with following formula (22).

[several 11]

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

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

In this formula (22), first end point data generating apparatus 31 is for input numerical value X _ii the front end of () generates outer data as formula (23).I.e. X _i(-1)=X _i(0)

[several 12]

X _I(-k)＝X _I(k-1) k≥1........(23)

At input numerical value X _ithe rear end of (i), when endpoint location is M, the data that first end point data generating apparatus 31 can generate outside end points as formula (24).

[several 13]

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

These data are after the process of the first low-pass filter 11 and the first high pass filtering device 12, and that carries out data by the first and second data degradation devices 13 and 14 gets house one process.

In reverse side change, the first and second data filling devices 21 and 22 carry out supplementing process to by the low-frequency component after getting a house one and radio-frequency component respectively, and its result is sent to second and the 3rd end-point data generating apparatus 32 and 33 respectively.At the second end-point data generating apparatus 32, first, the low-frequency component X after being supplemented by the first data filling device 21 _linsert before ' (i) and make X for one 0 _l' (-1)=0.Then the data that formula (25) generates front end are pressed.

[several 14]

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

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

[several 15]

${X_L}^{\&prime;\&prime;}\left(i\right)={\mathrm{\&Sigma;}}_{k=-2}^1{h}^{*}\left(k\right){X_L}^{\&prime;}(i+k)...\left(26\right)$

So in order to restore front end data, as shown in Fig. 4 (b), X _l(-2)=X _l(0) be necessary condition.On the other hand, in conversion side 10, behind above-mentioned formula (22) and (23), following formula (27) can be obtained.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 filtration coefficient h (k) in the first low-pass filter 11, i.e. h (-1)=h (2), h (0)=h (1), be updated to formula (27) and can X be obtained _l(-2)=X _l(0), namely front end data can correctly restore.When the occasion that data length is even number (2N), the second end-point data generating apparatus 32 will according to formula (28), with (2N-1) for axle carries out turning back of data.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 correctly restored X _l" (2N-1), as shown in Fig. 4 (b), must meet formula (29).

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

On the other hand, in conversion side 10, if generate X _l(2N), above-mentioned formula (22) and (24) are used, 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 utilizing filter factor h (k) in the first low-pass filter 11, can draw X _l(2N)=X _l(2N-2).Therefore, use second and the 3rd end-point data generating apparatus 31 and 32, can meet the two ends rejuvenating conditions of low-frequency component.When the occasion that data length is odd number (2N+1), can know from Fig. 4 (b), for restoring X _l" (2N), as long as add X _l' (2N+1) (=0) can show that its condition meets.

In the 3rd end-point data generating apparatus 33, first, from the radio-frequency component X that the second data filling device 22 supplements out _hthe front end of ' (i) inserts one 0, i.e. X _h' (-1)=0.Then in the front end of data with X _h' (-1) is axle, turns back after the data inside end points being carried out sign-inverted by formula (31) to outside.

[several 17]

X _H′(-k-1)＝-X _H′(k-1) k≥1......(31)

In reverse side change 20, as low-frequency component, for restoring the radio-frequency component X of front end _h" (0), as long as meet formula (32).

X _H(-2)＝-X _H(0)........(32)

On the one hand, side is being changed as X will be generated _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, after the odd symmetry of filter factor g (k) in the first high pass filtering device 12 and g (-1)=-g (2) and g (0)=-g (1) are substituted into formula (33), can X be drawn _h(-2)=-X _h(0).In rear end, when data length is for M, the 3rd end-point data generating apparatus 33 will with end-point data (M-1) for axle, and (34) generate marginal date with the formula.

[several 18]

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

When the long occasion for even number of data, as shown in Fig. 4 (b), for restoring X _h" (2N-1) must meet X _h(2N-2)=-X _h(2N) condition.On the other hand, in conversion side 10, formula (21) and (24) are utilized to generate X _h(2N) time, 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)

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

When the occasion that data length is odd number, can find out from Fig. 4 (d), 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 is added, then its result is multiplied by 2 with data X _oi () exports.

As described above, the present embodiment, by arranging the first to the 3rd end-point data generating apparatus 31,32,33, makes marginal date be able to complete among wave-particle conversion and restore efficiently.In addition, in above-described embodiment, the low-frequency component X got after a house one of conversion side 10 _l(2i) with radio-frequency component X _h(2i) be directly inputted in reverse side change 20.But, even if after carrying out the process such as compression to the output data of the first and second data degradation devices 13 and 14 of conversion side 10, then result is input in the data filling device of reverse side change 20, also can obtains the substantially identical result of same above-described embodiment.

Although the foregoing describe 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 defined by the appended claims.Those skilled in the art, under the prerequisite not deviating from principle of the present invention and essence, can make various changes or modifications to these execution modes, but these change and amendment all falls into protection scope of the present invention.

Claims (4)

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

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

This reverse side change comprises: for inserting the first data filling device of 0 every a data point to this low-frequency component through the data of wave-particle conversion, for inserting the second data filling device of 0 every a data point to this radio-frequency component through the data of wave-particle conversion, for obtaining the second low-pass filter of the low-frequency component supplemented through this first data filling device, for obtaining the second high pass filtering device of the radio-frequency component supplemented through this second data filling device, and be multiplied by the 2 rear devices that add exported for the low-frequency component this second low-pass filter and this second high pass filtering device obtained with radio-frequency component phase adduction,

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

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

For generating the second end-point data generating apparatus of the necessary several end points outer data of filtering process for the low-frequency component supplemented through this first data filling device, be located between this first data filling device and this second low-pass filter,

For generating the 3rd end-point data generating apparatus of the necessary several end points outer data of filtering process for the radio-frequency component supplemented 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 first end point data generating apparatus is used for for these input data, the data of end points inside is outwards turned back successively the data generated outside the end points of these input data 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 first before the left end point of the low-frequency component supplemented through this first data filling device, inserting one 0, then for the data rows being inserted into this low-frequency component of 0, in the mode not comprising the end points of this data rows, the data inside the end points of this data rows are outwards turned back successively the data generated outside the end points of this data rows.

4. wave-particle conversion equipment as claimed in claim 1, it is characterized in that, 3rd end-point data generating apparatus is used for first before the left end point of the radio-frequency component supplemented through this second data filling device, inserting one 0, then for the data rows being inserted into this radio-frequency component of 0, not comprise the mode of the end points of this data rows by the data outside backward for the data inside the end points of this data rows successively reverses sign outer end points turning back to generate this data rows.