CN1665230A - Method of low-complexity frequency deviation estimation based on adjustable time frequency training sequence - Google Patents

Method of low-complexity frequency deviation estimation based on adjustable time frequency training sequence Download PDF

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CN1665230A
CN1665230A CN2005100384958A CN200510038495A CN1665230A CN 1665230 A CN1665230 A CN 1665230A CN 2005100384958 A CN2005100384958 A CN 2005100384958A CN 200510038495 A CN200510038495 A CN 200510038495A CN 1665230 A CN1665230 A CN 1665230A
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frequency
sequence
training sequence
time
value
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CN100486238C (en
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尤肖虎
高西奇
蒋雁翔
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Southeast University
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2647—Arrangements specific to the receiver only
    • H04L27/2655—Synchronisation arrangements
    • H04L27/2657—Carrier synchronisation
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2614—Peak power aspects
    • H04L27/262—Reduction thereof by selection of pilot symbols
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2647—Arrangements specific to the receiver only
    • H04L27/2649—Demodulators
    • H04L27/265—Fourier transform demodulators, e.g. fast Fourier transform [FFT] or discrete Fourier transform [DFT] demodulators
    • H04L27/2651—Modification of fast Fourier transform [FFT] or discrete Fourier transform [DFT] demodulators for performance improvement
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2647—Arrangements specific to the receiver only
    • H04L27/2655—Synchronisation arrangements
    • H04L27/2668—Details of algorithms
    • H04L27/2669—Details of algorithms characterised by the domain of operation

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  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
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Abstract

The invention discloses a low-complexity frequency bias estimating method based on a regulable time frequency training sequence, a frequency synchronizing method applied to OFDM system and other blocked transmitting systems, where the regulable time-frequency training sequence is composed of alpha N-long frequency domain sequence TS1 and (1-alpha)N-long time frequency sequence TS2, where the length ratio of the two parts is regulable and the total length keeps invariant; for resisting the interference IS1 between symbols, it inserts a Ng-long circulating prefix in both the two parts; the frequency domain sequence TS1 is composed of K inequi-distant pilot frequencies and the time domain sequence TS2 is composed of P same-length U subsequences; by choosing the parameters, the corresponding frequency bias estimators can obtain different balance of complex property, thus applied to different wireless mobile scenes. Wherein, Ng should be greater than the maximum time delay extension of wireless multipath channel, and PU= (1-alpha)N.

Description

Low complex degree frequency deviation estimating method based on adjustable time-frequency training sequence
Technical field
The present invention is a kind of frequency synchronization method that is applied to OFDM (OFDM) system and other block transmission system, belongs to the simultaneous techniques field in the mobile communication.
Background technology
Frequency Synchronization is the prerequisite of mobile communication system energy proper communication.In order to support high-speed data service, future mobile communication system will be the system of broadband, many (sending and receiving) antenna, and OFDM is the important candidate scheme of future mobile communication system.For following mobile radio telecommunications, the time-varying characteristics of broadband wireless channel can exert an influence to carrier frequency, and it is offset, thereby destroy the orthogonality between the subcarrier in the ofdm system.Compare with single-carrier system, ofdm system is more responsive to carrier wave frequency deviation, how to reduce between subcarrier and to disturb the influence of ICI to systematic function, is one of the prerequisite that can be used widely of ofdm system.Traditional frequency synchronization method all or based on frequency domain training sequence or based on time-domain training sequence comes carrier wave frequency deviation is estimated that they all have such-and-such shortcoming: be not suitable for packet data transmission, load too high, capture range is little, estimated performance is undesirable, computation complexity is high.The present invention has overcome above shortcoming, has proposed a kind of method of carrying out frequency offset estimating based on adjustable time-frequency training sequence.
Summary of the invention
Technical problem: the purpose of this invention is to provide a kind of low complex degree frequency deviation estimating method based on adjustable time-frequency training sequence, and a kind of fast and reliable further is provided in view of the above, duty ratio is less, capture range is big, estimated accuracy is high, implementation complexity is low, not only be suitable for the continuous data transmission but also be suitable for the frequency deviation estimating method of packet data transmission.
Technical scheme: the low complex degree frequency deviation estimating method based on adjustable time-frequency training sequence of the present invention is:
1), the frequency domain sequence TS 1 that receives is made β times of fast fourier transform interpolation, and calculate its periodogram in view of the above;
2), respective cycle figure is done the peak amplitude search with the bubbling method;
3), gathering { i according to the definite peak value pilot tone that is found of predefine look-up table k} 0 K-1In index value;
4), calculate the side-play amount of the peak frequency domain pilot tone found and it normalized to N, thereby determine thick frequency offset estimating value;
5), the time domain sequences TS 2 that receives is made thick frequency offset correction;
6), to the time domain sequences TS 2 after proofreading and correct, according to P the identical subsequence that it comprised, the phase angle rotational component that calculating causes owing to frequency deviation;
7), above-mentioned phase angle rotational component is done weighted average and normalization and can obtain corresponding thin frequency offset estimating value;
8), the thick frequency deviation value that will estimate and thin frequency deviation value addition, obtain total frequency offset estimating value.
Wherein, β should be from set { 2 n} 0 -log2 αIn choose, α should from the set { 2 -n} 1 Log2N-1The middle selection, N＞0 is the total length of this time-frequency training sequence, set { i k} 0 K-1The index value of K unequal-interval pilot tone among the expression frequency domain sequence TS 1,0＜K α N.
Described adjustable time-frequency training sequence is the frequency domain sequence TS 1 of α N and length by length is this kind training sequence that the time domain sequences TS 2 of (1-α) N forms, and its two-part ratio can be regulated, but total length remains unchanged and is N; In order to resist intersymbol interference (ISI), all inserting length in this two parts sequence front is N gCyclic Prefix; Frequency domain sequence TS 1 is made up of the pilot tone of K unequal-interval, and time domain sequences TS 2 is made up of by the subsequence of U P identical length; By choosing of parameter, the related offset estimator can obtain different complexity performance tradeoff, thereby is applied in the different wireless mobile scenes.Wherein, N gShould be greater than the maximum delay expansion of wireless multipath channel, PU=(1-α) N.
Described predefine look-up table, its memory contents is as follows:
??i 1-i 0 ???i 2-i 0 … i K-1-i 0
??i 2-i 1 ???i 3-i 1 … i 0-i 1+αN
?? ???
??i 0，i K-1+αN ???i 1-i K-1+αN … i K-2-i K-1+αN
Wherein, i 0, i 1..., i K-1Index value for K unequal-interval pilot tone being comprised among the frequency domain sequence TS 1.
Beneficial effect:
1, introduces the notion of time-frequency training sequence, made full use of two kinds of training sequences of time domain and frequency domain advantage separately, thereby can obtain optimum estimated performance.
2, adopt look-up table, make full use of the design feature of frequency domain training sequence, improved the correct probability of thick frequency offset estimating, reduced the time loss of finishing thick frequency offset estimating greatly.
3, according to the difference of actual carrier frequency deviation size and concrete application scenarios, choose different time-frequency training sequence parameter and structure, thereby obtain optimum complexity trade-off of performance balance.
4, thin frequency offset estimating algorithm can be done different choosing according to the difference of concrete application scenarios and time-frequency training sequence structure, has enriched flexibility, diversity that concrete system realizes greatly.
The frequency offset estimating algorithm that the present invention proposes can be used for any block transmission system.
The present invention mainly considers how to reduce system load in mobile communication system, reduces the complexity of algorithm for estimating, improves systematic function, and the system that makes can support high-speed data service more efficiently.
Description of drawings
Fig. 1 is a time-frequency training sequence structural representation of the present invention.Wherein, f represents frequency domain, and t represents time domain, and CP represents Cyclic Prefix, and TS 1 is a frequency domain sequence, and TS 2 is a time domain sequences, N gBe the length of Cyclic Prefix, α N and (1-α) N are respectively the length of TS 1 and TS 2; i 0, i 1..., i K-1Be the index value of K unequal-interval pilot tone being comprised among the TS 1, U is the length of each subsequence in P the subsequence that is comprised among the TS 2.
Fig. 2 is based on the frequency deviation estimating method schematic diagram of adjustable time-frequency training sequence.
Fig. 3 is based on the implementation structure schematic diagram (the thin frequency offset estimating algorithm implementation structure schematic diagram that contains α β=1 o'clock, and the thin frequency offset estimating algorithm of α β=1 o'clock is a kind of special case of the thin frequency offset estimating algorithm of α β＜1 o'clock) of the frequency offset estimating algorithm of adjustable time-frequency training sequence.It comprises interpolating apparatus, squaring device, peak amplitude searcher, peak value pilot tone index calculation device, side-play amount calculating and normalization device, multiplier, multiplication adding up device, phase angle calculation element, adder.Wherein, the thin frequency offset estimator of α β=1 o'clock is made up of multiplication adding up device, phase angle calculation element.
Embodiment
Suppose that the number of sub carrier wave that an OFDM symbol is comprised is N, the length of CP is N gThe length of frequency domain sequence TS 1 is N F=α N is made up of K unequal-interval non-zero pilot tone, and this non-zero pilot tone is used p ~ K = [ p ~ i 0 , p ~ i 1 , · · · p ~ i K - 1 ] T Expression; The length of time domain sequences TS 2 is N T=(1-α) N is made up of by the subsequence of U P identical length.
After the β times of fast fourier transform interpolation of training sequence process and computing cycle figure that receives, do the peak amplitude search with the bubbling method, pass through peak value pilot tone index value computing unit then, then calculate the side-play amount of peak value pilot tone and it is normalized to and promptly obtain corresponding thick frequency offset estimating value behind the N, then the time domain sequences that receives is delivered to thick frequency offset correction unit.According to the difference of time-frequency training sequence structure, carefully frequency offset estimating is in two kinds of situation: α β=1, and the time domain sequences after then will proofreading and correct is delivered to parallel multiplication, phase angle computing module successively, obtains corresponding thin frequency offset estimating value at last; α β＜1, the time domain sequences after then will proofreading and correct are delivered to parallel multiplication, multiplier, phase angle computing module, parallel multiplication successively can obtain thin frequency offset estimating value.At last, with thick, thin frequency offset estimating value addition, export total frequency offset estimating value.
Specific algorithm is described below:
The receiving sequence expression formula that influenced by frequency deviation ε can be write as:
Figure A20051003849500062
[formula one]
Wherein, φ is for receiving the phase deviation that phase noise introduces owing to timing error or dimension, F ‾ = [ f i 0 , f i 1 , · · · , f i K - 1 ] Be N FThe inverse-Fourier transform matrix of * K, w are the additive white Gaussian noise signal.
Then, calculate the periodogram of receiving sequence by the fast fourier transform interpolation technique:
Ξ ( k ) = | Σ n = 0 β N F - 1 r ‾ n e - j 2 πnk / ( β N F ) | 2 , k = 0,1 , · · · , β N F - 1 [formula two]
Wherein, r ‾ n = r n , n = 0,1 , · · · , N F - 1 0 , n = N F , N F + 1 , · · · , β N F - 1 ; β represents to add zero interpolation ratio.Signal after the interpolation is delivered to the peak amplitude search unit, finds following maximum:
ξ = arg max k ∈ [ 0 , β N F - 1 ] { Ξ ( k ) } [formula three]
Then, locate this peak value pilot signal at set { i according to the predefine look-up table k} 0 K-1In index value, that is:
K = arg max k ∈ [ 0 , K - 1 ] { Σ g = 0 K - 2 Ξ [ ( ( β Π k , g + ξ ) ) β N F ] } [formula four]
Wherein, Π K, gExpression is stored in the content of the capable g row of k in the look-up table.The following formula result is delivered to side-play amount calculates and the normalization module, can obtain thick frequency offset estimating value:
δ=(ζ-β i k)/(α β) [formula five]
Figure A20051003849500071
[formula six]
Then, with the time domain sequences { t that receives n} 0 NT-1Deliver to corresponding thick frequency offset correction module:
t n cc = t n e - j 2 π ϵ ^ c ( N g + N F + n ) / N , n = 0,1 , · · · , N T - 1 [formula seven]
Suppose α β=1, the time domain sequences after then will proofreading and correct is delivered to parallel multiplication, phase angle computing module successively, and it is as follows to obtain corresponding thin frequency offset estimating value:
ϵ ^ f = 1 ( 1 - α ) π angle { Σ n = 0 N T / 2 - 1 t n cc * t n + N T / 2 cc } [formula eight]
Suppose α β＜1, it is as follows that the time domain sequences after then will proofreading and correct is delivered to parallel multiplication, multiplier, phase angle computing module successively, parallel multiplication can obtain thin frequency offset estimating value:
[formula nine]
Wherein, Ω m = 3 ( P - m ) ( P - m + 1 ) - M ( P - M ) M ( 4 M 2 - 6 PM + 3 P 2 - 1 ) , 1 ≤ m ≤ M ; 1＝angle{ρ 1}；
ρ m = 1 N T - mU Σ n = mU N T - 1 t n cc t n - mU cc * , 1 ≤ m ≤ M ; U＝N T/P；
M＝P/2。The thin frequency offset estimating algorithm of α β=1 o'clock is a kind of special case of the thin frequency offset estimating algorithm of α β＜1 o'clock; Make the P=2 in the formula nine can obtain formula eight.
At last, thick, the thin frequency offset estimating value that estimates being delivered to adder, can to obtain total frequency offset estimating value as follows:
[formula ten]
According to above description, can obtain based on the performing step of the frequency offset estimating algorithm of adjustable time-frequency training sequence as follows:
1), the frequency domain sequence TS 1 that receives is made β times of fast fourier transform interpolation, and calculate its periodogram in view of the above;
2), respective cycle figure is done the peak amplitude search with the bubbling method;
3), gathering { i according to the definite peak value pilot tone that is found of predefine look-up table k} 0 K-1In index value;
4), calculate the side-play amount of the peak frequency domain pilot tone found and it normalized to N, thereby determine thick frequency offset estimating value;
5), the time domain sequences TS 2 that receives is made thick frequency offset correction;
6), to the time domain sequences TS 2 after proofreading and correct, according to P the identical subsequence that it comprised, the phase angle rotational component that calculating causes owing to frequency deviation;
7), above-mentioned phase angle rotational component is done weighted average and normalization and can obtain corresponding thin frequency offset estimating value;
8), the thick frequency deviation value that will estimate and thin frequency deviation value addition, obtain total frequency offset estimating value.
Wherein, β should be from set { 2 n} 0 -log2 αIn choose, α should from the set { 2 -n} 1 Log2N-1The middle selection, N＞0 is the total length of this time-frequency training sequence, set { i k} 0 K-1The index value of K unequal-interval pilot tone among the expression frequency domain sequence TS 1,0＜K α N.
Interpolating apparatus and squaring device are finished the computing that comprises in the formula [two], the peak amplitude searcher is finished formula [three], peak value pilot tone index calculation device is finished formula [four], side-play amount is calculated and the normalization device is finished formula [five], formula [six], multiplier is finished thick frequency offset correction computing (formula [seven]), two multiplication adding up devices, multiplier, and the phase angle calculation element finish the thin frequency offset estimating computing (formula [nine]) of α β＜1 o'clock altogether, adder is finished total frequency offset estimating computing (formula [ten]).Wherein multiplication adding up device, phase angle calculation element are finished the thin frequency offset estimating computing (formula [eight]) of α β=1 o'clock.

Claims (2)

1, a kind of low complex degree frequency deviation estimating method based on adjustable time-frequency training sequence is characterized in that this estimation approach is:
1), the frequency domain sequence TS 1 that receives is made β times of fast fourier transform interpolation, and calculate its periodogram in view of the above;
2), respective cycle figure is done the peak amplitude search with the bubbling method;
3), gathering { i according to the definite peak value pilot tone that is found of predefine look-up table k} 0 K-1In index value;
4), calculate the side-play amount of the peak frequency domain pilot tone found and it normalized to N, thereby determine thick frequency offset estimating value;
5), the time domain sequences TS 2 that receives is made thick frequency offset correction;
6), to the time domain sequences TS 2 after proofreading and correct, according to P the identical subsequence that it comprised, the phase angle rotational component that calculating causes owing to frequency deviation;
7), above-mentioned phase angle rotational component is done weighted average and normalization and can obtain corresponding thin frequency offset estimating value;
8), the thick frequency deviation value that will estimate and thin frequency deviation value addition, obtain total frequency offset estimating value.
Wherein, β should be from set { 2 n} 0 -log2 αIn choose, α should from the set { 2 -n} 1 Log2N-1The middle selection, N＞0 is the total length of this time-frequency training sequence, set { i k} 0 K-1The index value of K unequal-interval pilot tone among the expression frequency domain sequence TS 1,0＜K α N.
2, a kind of low complex degree frequency deviation estimating method according to claim 1 based on adjustable time-frequency training sequence, it is characterized in that described adjustable time-frequency training sequence, being the frequency domain sequence TS 1 of α N and length by length is this kind training sequence that the time domain sequences TS 2 of (1-α) N forms, its two-part ratio can be regulated, but total length remains unchanged and is N; In order to resist intersymbol interference ISI, all inserting length in this two parts sequence front is N gCyclic Prefix; Frequency domain sequence TS 1 is made up of the pilot tone of K unequal-interval, and time domain sequences TS 2 is made up of by the subsequence of U P identical length; By choosing of parameter, the related offset estimator can obtain different complexity performance tradeoff, thereby is applied in the different wireless mobile scenes.Wherein, N gShould be greater than the maximum delay expansion of wireless multipath channel, PU=(1-α) N.
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Cited By (7)

* Cited by examiner, † Cited by third party
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CN101312446B (en) * 2008-07-07 2010-10-20 苏州中科半导体集成技术研发中心有限公司 Phase tracking compensation process based on weighting pilot
US7830990B2 (en) 2007-04-02 2010-11-09 Industrial Technology Research Institute Method for estimating and compensating frequency offset and frequency offset estimation module
CN101043231B (en) * 2007-04-18 2010-11-10 华为技术有限公司 Method, equipment and system for realizing deviation correction to access channel leading signal
CN102098245A (en) * 2011-03-24 2011-06-15 东南大学 Frequency offset estimation method of low-complexity collaborative relay system
CN101184075B (en) * 2007-12-13 2012-01-04 华为技术有限公司 Frequency deviation compensation method and device
CN101394391B (en) * 2008-11-03 2012-11-21 华北电力大学 OFDM synchronization method based on four dimensional chaos system
CN101473618B (en) * 2006-06-20 2012-12-05 Nxp股份有限公司 Method and equipment for estimating carrier frequency offset

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US6097776A (en) 1998-02-12 2000-08-01 Cirrus Logic, Inc. Maximum likelihood estimation of symbol offset
US6807241B1 (en) 1999-09-15 2004-10-19 Lucent Technologies Inc. Method and apparatus for partial and course frequency offset estimation in a digital audio broadcasting (DAB) system
KR100483020B1 (en) * 2002-11-12 2005-04-15 한국전자통신연구원 A configuration method of frame for reverse random access in an orthogonal frequency division multiple access system
US7133479B2 (en) 2003-04-15 2006-11-07 Silicon Integrated Systems Corp. Frequency synchronization apparatus and method for OFDM systems
KR100626644B1 (en) * 2004-12-14 2006-09-21 한국전자통신연구원 Method for estimating frequency/time offset and its using apparatus in OFDM communication system

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Publication number Priority date Publication date Assignee Title
CN101473618B (en) * 2006-06-20 2012-12-05 Nxp股份有限公司 Method and equipment for estimating carrier frequency offset
US7830990B2 (en) 2007-04-02 2010-11-09 Industrial Technology Research Institute Method for estimating and compensating frequency offset and frequency offset estimation module
CN101043231B (en) * 2007-04-18 2010-11-10 华为技术有限公司 Method, equipment and system for realizing deviation correction to access channel leading signal
CN101184075B (en) * 2007-12-13 2012-01-04 华为技术有限公司 Frequency deviation compensation method and device
US8483159B2 (en) 2007-12-13 2013-07-09 Huawei Technologies Co., Ltd. Method and apparatus for frequency offset compensation
CN101312446B (en) * 2008-07-07 2010-10-20 苏州中科半导体集成技术研发中心有限公司 Phase tracking compensation process based on weighting pilot
CN101394391B (en) * 2008-11-03 2012-11-21 华北电力大学 OFDM synchronization method based on four dimensional chaos system
CN102098245A (en) * 2011-03-24 2011-06-15 东南大学 Frequency offset estimation method of low-complexity collaborative relay system
CN102098245B (en) * 2011-03-24 2013-04-24 东南大学 Frequency offset estimation method of low-complexity collaborative relay system

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