CN109547181A - A kind of short filter, single-carrier system and multicarrier system - Google Patents

A kind of short filter, single-carrier system and multicarrier system Download PDF

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CN109547181A
CN109547181A CN201811169369.XA CN201811169369A CN109547181A CN 109547181 A CN109547181 A CN 109547181A CN 201811169369 A CN201811169369 A CN 201811169369A CN 109547181 A CN109547181 A CN 109547181A
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filter
response sequence
impulse response
short
origin
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CN109547181B (en
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屈代明
田苑
刘泽
江涛
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Huazhong University of Science and Technology
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00—Arrangements affording multiple use of the transmission path
    • H04L5/003—Arrangements for allocating sub-channels of the transmission path
    • H04L5/0048—Allocation of pilot signals, i.e. of signals known to the receiver
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/3405—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power
    • H04L27/3444—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power by applying a certain rotation to regular constellations
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/38—Demodulator circuits; Receiver circuits
    • H04L27/3845—Demodulator circuits; Receiver circuits using non - coherent demodulation, i.e. not using a phase synchronous carrier
    • H04L27/3854—Demodulator circuits; Receiver circuits using non - coherent demodulation, i.e. not using a phase synchronous carrier using a non - coherent carrier, including systems with baseband correction for phase or frequency offset
    • H04L27/3872—Compensation for phase rotation in the demodulated signal

Abstract

The present invention discloses a kind of short filter, single-carrier system and multicarrier system, comprising: sets the length of the short wave filter as M+1, impulse response sequence are as follows: g (k), k=-M/2 ..., M/2, wherein k indicates sampled point serial number；The impulse response sequence need to meet the following conditions: the impulse response sequence is about origin symmetry, and at the origin value is A；The impulse response sequence is A about the quadratic sum of the symmetrical any two points of k=M/42；The corresponding frequency response sequence of the impulse response sequence is the M rank discrete Fourier transform of impulse response sequence, and the frequency response sequence is about origin symmetry, and at the origin value is 0, and effective frequency point number of the frequency response sequence is 2L-1.Multicarrier system includes the short wave filter.Present invention reduces the computation complexities in filter group communication system.

Description

A kind of short filter, single-carrier system and multicarrier system
Technical field
The present invention relates to wireless communication technology fields, more particularly, to a kind of short filter, single-carrier system and overloading Wave system system.
Background technique
((Filter Bank Multi-Carrier, FBMC) is as future wireless system for filter bank multi-carrier system One key technology is the big hot spot in communication systems.Compared to orthogonal frequency division multiplexi (OFDM), FBMC is used Ptototype filter replaces rectangular window, and the mutation of signal when different from the use of rectangular window has rolling by the signal of ptototype filter Drop process is smooth variation, therefore can have better spectral characteristic using signal when FBMC technology.However, with quick Fu For family name converts (Fast Fourier Transformation, FFT) realization FBMC system, filter length is longer, then FFT Points it is more, processing complexity it is also higher, meanwhile, the propagation delay time of signal is determined that filter length is got over by signal length It is long then signal length is longer, and it is longer to trail, propagation delay time is also bigger.
Summary of the invention
In view of the drawbacks of the prior art, it is an object of the invention to solve the length of the filter in existing communication system to spend The technical issues of growing, high disposal complexity and high disposal caused to be delayed.
To achieve the above object, in a first aspect, the present invention provides a kind of short filter, in general, FBMC system Used in Filter nonzero coefficients be KM+1, K is greater than 1 natural number, and short filter designed in the present invention Nonzero coefficient number is less than or equal to M, and wherein M is total carrier number of FBMC system and the sampled point at FBMC complex symbol interval Number.Specific design method includes: that the length of the short wave filter is M+1, impulse response sequence are as follows: g (k), k=-M/ 2 ..., M/2, wherein k indicates sampled point serial number, and M is even number；
The impulse response sequence is about origin symmetry, and at the origin value is A, and A is natural number；
The impulse response sequence is A about the quadratic sum of the symmetrical any two points of k=M/42；
The corresponding frequency response sequence of the impulse response sequence is the M rank discrete Fourier transform of impulse response sequence, The frequency response sequence is about origin symmetry, and at the origin value is 0, and effective frequency point number of the frequency response sequence is 2L-1, L is the integer more than or equal to 1.
Optionally, the impulse response sequence is about origin symmetry, and at the origin value is A, specifically:
Optionally, the impulse response sequence is A about the quadratic sum of the symmetrical any two points of k=M/42, specifically:
g(M/4-k)2+g(M/4+k)2=A2,0≤k≤M/4。
Optionally, the corresponding frequency response sequence of the impulse response sequence is the M rank direct computation of DFT of impulse response sequence Leaf transformation, the frequency response sequence is about origin symmetry, and at the origin value is 0, the frequency response sequence it is effective Frequency point number is 2L-1, specifically:
Wherein, G (f) indicates frequency response sequence.
Optionally, as L=3, effective frequency point number of short filter is 5, and corresponding short filter indicates are as follows:
Following equation group is obtained by 0, M/4, M/2, tri- sampled points according to condition as given above:
It solves: G (0)=0.6036A, G (± 1)=0.25A, G (± 2)=- 0.0518A.
Optionally, as L=4, effective frequency point number of short filter is 7, and corresponding short filter indicates are as follows:
0, M/8, M/4 is taken, tetra- sampled points of M/2 obtain following equation group:
It solves: G (0)=0.6036A, G (± 1)=0.2553A, G (± 2)=- 0.0518A, G (± 3)=- 0.0053A。
Optionally, which can be applied to multicarrier system based on wave filter group and list based on wave filter group Carrier system.
Second aspect, the present invention provide a kind of single-carrier system, which is worked based on filter group, each filter Wave device works on different subcarriers, and the filter in the filter group is the short filter that above-mentioned first aspect provides；
Data symbol to be sent is divided into data symbols number section and serialization number by the single-carrier system, and to sent Data symbols number section is handled according to its serial number, including adding window, FFT, and uses the short filter by processed data symbols It number is mapped on multiple subcarriers, for even number serial number data sign field, even number serial number subcarrier transmits real part, odd number sequence Sub-carriers transmit imaginary part, and for odd indexed data symbols number section, even number serial number subcarrier transmits imaginary part, odd number sequence Sub-carriers transmit real part, realize that cooperation sends data between neighboring data symbols section.
Optionally, the single-carrier system by the symbol after short filter filtering multiplied byIt is modulated to different sons afterwards On carrier wave.
The third aspect, the present invention provide a kind of multicarrier system, which is worked based on filter group, each filter Wave device works on different subcarriers, and the filter in the filter group is the short filter that above-mentioned first aspect provides；
Real number symbol sebolic addressing to be sent is obtained real empty staggered symbol multiplied by phase rotation coefficient by the multicarrier system Number sequence, and processed data symbol is mapped on multiple subcarriers using the short filter.
Optionally, if am,nIt is real number symbol to be sent, m indicates subcarrier serial number, and n indicates time serial number；The overloading Wave system is united am,nMultiplied by phase rotation coefficientAfterwards, am,nBecome real void from original real number to interlock, and by short filter Filtered symbol multiplied byIt is modulated on different subcarriers afterwards.
In general, through the invention it is contemplated above technical scheme is compared with the prior art, have below beneficial to effect Fruit:
The length of filter provided by the invention is set as identical as filter group total number of sub-carriers, and its frequency response sequence The only negated zero on finite point is arranged, to reduce the computation complexity of communication system based on wave filter group.
The present invention is based on limited frequency point numbers, obtain the unit impulse response function of filter by inverse Fourier transform, then It establishes according to imposing a condition using frequency response function as the equation group of unknown number, and is solved, reduce the complexity of calculating.
Detailed description of the invention
Fig. 1 is the block diagram of FBMC system transmitting terminal based on wave filter group provided by the invention；
Fig. 2 is the block diagram of FBMC system receiving terminal based on wave filter group provided by the invention；
Fig. 3 is the specific implementation block schematic illustration of FBMC system transmitting terminal based on wave filter group provided by the invention；
Fig. 4 is the unit impulse response function schematic diagram of ptototype filter provided by the invention.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and It is not used in the restriction present invention.As long as in addition, technical characteristic involved in the various embodiments of the present invention described below Not constituting a conflict with each other can be combined with each other.
The invention proposes a kind of short filters, comprising: the length of short filter is set as total with filter group subcarrier Number is identical, and its frequency response sequence only negated zero on finite point, multiple to reduce the calculating in filter group communication system Miscellaneous degree.Based on limited frequency point number, the unit impulse response function of ptototype filter is obtained by inverse Fourier transform, further according to spy Fixed condition is established using frequency response function as the equation group of unknown number, and is solved.
Optionally, the present invention provides a kind of short filter, if the length of ptototype filter is Lg=M+1, impulse response Sequence is:
G (k), k=-M/2 ..., M/2
Wherein k indicates sampled point serial number, and it is necessary to meet following condition for designed filter impulse responses:
(1) about origin symmetry, and value is A at origin；
G (0)=A；
G (k)=g (- k), k=-M/2 ..., M/2
It (2) is A about quadratic sum between the symmetrical any two points of k=M/42；
g(M/4-k)2+g(M/4+k)2=A2,0≤k≤M/4
(3) frequency response sequence corresponding with g (k) is denoted as:
G (f) is the M rank discrete Fourier transform of g (k), and wherein f value is integer, indicates f-th of frequency point, is met: G (f) =G (- f), and right | f | >=L, G (f)=0, i.e., effective frequency point number are 2L-1.
Therefore, in summary condition, designed ptototype filter should meet following equation groups:
By solving above equation group, the impulse corresponding sequence of filter is obtained.
In a specific embodiment, if effective frequency point number of filter is 5, i.e. L=3, corresponding short filter It indicates are as follows:
Following equation group is obtained by 0, M/4, M/2, tri- sampled points according to condition as given above:
It solves: G (0)=0.6036A, G (± 1)=0.25A, G (± 2)=- 0.0518A.
In a specific embodiment, if effective frequency point number of filter is 7, i.e. L=4, short filter can be with table It is shown as:
According to condition as given above, 0, M/8, M/4 is taken, tetra- sampled points of M/2 obtain following equation group:
It solves: G (0)=0.6036A, G (± 1)=0.2553A, G (± 2)=- 0.0518A, G (± 3)=- 0.0053A。
Optionally, designed filter can be applied to multicarrier system based on wave filter group according to the method described above (FBMC), the specific steps of transmitting terminal are as shown in Fig. 1, wherein am,nIt is real number symbol, when m indicates that subcarrier serial number, n indicate Between serial number, am,nMultiplied by phase rotation coefficientAfterwards, from it is original be all real number and become real void interlock, it is real empty to what is obtained Interleaved symbol sequence withIt times up-samples, by with after above-mentioned filter filtering, multiplied byIt is modulated on different carrier waves, The inverse process of the step of signal of each subcarrier is added to obtain final transmission signal, receiving end as transmitting terminal.
Corresponding receiving end block diagram is as shown in Fig. 2, be the inverse process of transmitting terminal in Fig. 1.
Optionally, designed filter can be applied to the filter group list using this kind of filter according to the method described above Carrier communication system.Data symbol to be sent is divided into data symbols number section and serialization number, and to sent data symbol Section is handled according to its serial number, including adding window, FFT, and is mapped to processed data symbol using filter group technology On multiple subcarriers, wherein the filter that filter uses the method for the present invention to design, to sent data symbols number section according to it After serial number is handled so that data symbols number section is mapped on multiple subcarriers, for even number serial number data sign field, even number serial number Carrier-wave transmission real part, odd indexed subcarrier transmit imaginary part, for odd indexed data symbols number section, even number serial number Carrier-wave transmission imaginary part, odd indexed subcarrier transmit real part, realize that cooperation sends number between neighboring data symbols section According to.
The specific steps of transmitting terminal are as shown in Figure 3: signal adding window after sliding window segmentation interception, then are turned by FFT Frequency domain is changed to, is mapped on carrier wave after carrying out real empty staggeredly extraction, then carry out modulating system transmitting terminal based on wave filter group A series of modulation steps (including the filtering of IFFT, filter group, dislocation addition etc.).
Optionally, in above-mentioned carrier wave communication system, filtering that added window can also be designed using this method The impulse response sequence of device.
Technical solution provided by the present invention is introduced below by way of specific embodiment.
Embodiment 1
The condition set in the present embodiment is total number of sub-carriers M is 64, under the actual conditions, if ptototype filter Impulse response function are as follows:
G (k), k=-32 ..., 32
Wherein k indicates the moment, and it is necessary to meet following condition for designed filter impulse responses function:
(1) about origin symmetry, and value is 1 at origin；
G (0)=1；
G (k)=g (- k), k=-32 ..., 32
It (2) is 1 about quadratic sum between the symmetrical any two points of k=16；
g(16-k)2+g(16+k)2=1,0≤k≤16
(3) frequency response sequence corresponding with g (k) is denoted as:
G (f) is the M rank discrete Fourier transform of g (k), and wherein f value is integer, indicates f-th of frequency point, is met: G (f) =G (- f), and right | f | >=L, G (f)=0, i.e., effective frequency point number are 2L-1.
If the effective frequency point number of filter is 5, i.e. L=3, ptototype filter may be expressed as:
Following equation group is obtained by 0,16,32 three sampled point according to condition as given above:
It solves: G (0)=0.6036A, G (± 1)=0.25A, G (± 2)=- 0.0518A.
If effective frequency point number of filter is 7, ptototype filter can be indicated are as follows:
0,8,16,32 four sampled points are taken, following equation group is obtained:
It solves: G (0)=0.6036A, G (± 1)=0.2553A, G (± 2)=- 0.0518A, G (± 3)=- 0.0053A。
In one example, A=1 is taken, the unit impulse response function of ptototype filter is as shown in Fig. 4 at this time, attached drawing 4 For the impulse response namely g [0] ..., g [64] of ptototype filter in this case.
Embodiment 2
The preset condition of the present embodiment is that will meet the impulse response sequence of condition to be applied to as window based on filter group Carrier wave communication system in, total number of sub-carriers N is 1024, and the data symbols number M sent in the T moment is 64, to be sent Symbol sebolic addressing { a0,a1,a2... } and it is complex symbol, the overlap factor K=4 of used filter.Under the actual conditions, Implementation steps can indicate are as follows:
(1) sliding window that the data symbol sequence to be sent will be 64 by length, intercepts every 32 points of slidings Data symbol is obtained in nth data sign field xnOn symbol are as follows:
xn[i]=a32(n-1)+i,0≤i≤63,(n≠0)
Wherein, x0[i] indicates the data symbols number section value of serial number 0, xn[i] indicates that serial number is not 0 sign field value.
(2) indicate that length is 64 window vector with g, to nth data sign field xnR is obtained after adding windown:
rn=Diag (g) xn
Wherein, the effect of Diag function is the impulse response corresponding to window vector g by vector median filters diagonally matrix form Sequence g [i] meets:
G (f) is the 64 rank discrete Fourier transforms of g (k), and wherein k value is integer, indicates k-th of frequency point, is met: G (f)=G (- f), and right | f | >=L, G (f)=0, i.e., effective frequency point number are 2L-1.
(3) by leaf transformation in 64 point discrete Fouriers by rnIt is transformed into frequency domain form Rn:
Rn=FFT (rn)
The value of m-th of element is denoted as R by FFT function representation Fourier transformationn[m]。
(4) for nth data sign field, the E that will be obtained after further modulatingnIn m-th of element be denoted as En[m], When n is that even number can indicate are as follows:
When n is odd number, En[m] can be indicated are as follows:
Wherein,The effect of function is to take real part,The effect of function is to take imaginary part.
(5) by 64 element En[m] is mapped on 1024 subcarriers, the information I on m-th of subcarriern[m] is indicated are as follows:
(6)In[m] is transformed into the filter for being 1025 with length after time domain by IFFT and is multiplied, the transmission letter at the i-th moment Number sn[k] can be indicated are as follows:
Wherein, g'[k] indicate filter impulse response, meet:
It is equivalent to In[m] carries out 1024 point IFFT transformation；
(8) by all s obtained by above-mentioned stepsn[k] carries out successively displacement 512 and adds up, and obtains final transmission letter Number s [k].
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to The limitation present invention, any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should all include Within protection scope of the present invention.

Claims (10)

1. a kind of short filter characterized by comprising the length of the short wave filter is M+1, impulse response sequence Are as follows: g (k), k=-M/2 ..., M/2, wherein k indicates sampled point serial number, and M is even number；
The impulse response sequence is about origin symmetry, and at the origin value is A, and A is natural number；
The impulse response sequence is A about the quadratic sum of the symmetrical any two points of k=M/42；
The corresponding frequency response sequence of the impulse response sequence is the M rank discrete Fourier transform of impulse response sequence, described Frequency response sequence is about origin symmetry, and at the origin value is 0, and effective frequency point number of the frequency response sequence is 2L-1 A, L is the integer more than or equal to 1.
2. short filter according to claim 1, which is characterized in that the impulse response sequence about origin symmetry, and At the origin value is A, specifically:
3. short filter according to claim 1, which is characterized in that the impulse response sequence is symmetrical about k=M/4 The quadratic sum of any two points is A2, specifically:
g(M/4-k)2+g(M/4+k)2=A2,0≤k≤M/4。
4. short filter according to claim 1, which is characterized in that the corresponding frequency response sequence of the impulse response sequence Column are the M rank discrete Fourier transforms of impulse response sequence, and the frequency response sequence is about origin symmetry, and at the origin takes Value is 0, and effective frequency point number of the frequency response sequence is 2L-1, specifically:
Wherein, G (f) indicates frequency response sequence.
5. short filter according to any one of claims 1 to 4, which is characterized in that as L=3, short filter it is effective Frequency point number is 5, and corresponding short filter indicates are as follows:
Following equation group is obtained by 0, M/4, M/2, tri- sampled points according to condition as given above:
It solves: G (0)=0.6036A, G (± 1)=0.25A, G (± 2)=- 0.0518A.
6. short filter according to any one of claims 1 to 4, which is characterized in that as L=4, short filter it is effective Frequency point number is 7, and corresponding short filter indicates are as follows:
0, M/8, M/4 is taken, tetra- sampled points of M/2 obtain following equation group:
It solves: G (0)=0.6036A, G (± 1)=0.2553A, G (± 2)=- 0.0518A, G (± 3)=- 0.0053A.
7. a kind of single-carrier system, which is worked based on filter group, and each filter work is carried in different sons On wave, which is characterized in that the filter in the filter group is short filter as claimed in any one of claims 1 to 6；
Data symbol to be sent is divided into data symbols number section and serialization number by the single-carrier system, and to sent data Sign field carries out adding window, FFT processing according to its serial number, and it is more to use the short filter to be mapped to processed data symbol On a subcarrier, for even number serial number data sign field, even number serial number subcarrier transmits real part, and odd indexed subcarrier passes Defeated imaginary part, for odd indexed data symbols number section, even number serial number subcarrier transmits imaginary part, and odd indexed subcarrier passes Defeated real part realizes that cooperation sends data between neighboring data symbols section.
8. single-carrier system according to claim 7, which is characterized in that the single-carrier system will be after short filter filtering Symbol multiplied byIt is modulated on different subcarriers afterwards.
9. a kind of multicarrier system, which is worked based on filter group, and each filter work is carried in different sons On wave, which is characterized in that the filter in the filter group is the described in any item short filters of claim 1 to 7；
Real number symbol sebolic addressing to be sent is obtained real empty staggered symbol sequence multiplied by phase rotation coefficient by the multicarrier system Column, and processed data symbol is mapped on multiple subcarriers using the short filter.
10. multicarrier system according to claim 9, which is characterized in that am,nIt is real number symbol to be sent, m indicates son Carrier wave serial number, n indicate time serial number；The multicarrier system is by am,nMultiplied by phase rotation coefficientAfterwards, am,nBy original Real number become real void and interlock, and by the symbol after short filter filtering multiplied byIt is modulated on different subcarriers afterwards.
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