USRE47661E1 - Method for setting cyclic shift considering frequency offset - Google Patents

Method for setting cyclic shift considering frequency offset Download PDF

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USRE47661E1
USRE47661E1 US16/132,316 US201816132316A USRE47661E US RE47661 E1 USRE47661 E1 US RE47661E1 US 201816132316 A US201816132316 A US 201816132316A US RE47661 E USRE47661 E US RE47661E
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cyclic shift
sequence
nzc
variable
ncs
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Hyun Woo Lee
Min Seok Noh
Yeong Hyeon Kwon
Seung Hee Han
Dong Cheol Kim
Jin Sam Kwak
Dragan Vujcic
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LG Electronics Inc
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LG Electronics Inc
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Priority claimed from KR1020070011772A external-priority patent/KR101328939B1/ko
Priority claimed from KR1020070102563A external-priority patent/KR100932489B1/ko
Priority claimed from US11/969,834 external-priority patent/US7792212B2/en
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Priority to US16/132,316 priority Critical patent/USRE47661E1/en
Assigned to LG ELECTRONICS INC. reassignment LG ELECTRONICS INC. ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: VUJCIC, DRAGAN, KWAK, JIN SAM, HAN, SEUNG HEE, KIM, DONG CHEOL, LEE, HYUN WOO, NOH, MIN SEOK, KWON, YEONG HYEON
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04J—MULTIPLEX COMMUNICATION
    • H04J13/00—Code division multiplex systems
    • H04J13/0074—Code shifting or hopping
    • 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
    • H04J—MULTIPLEX COMMUNICATION
    • H04J13/00—Code division multiplex systems
    • H04J13/0007—Code type
    • H04J13/0055—ZCZ [zero correlation zone]
    • H04J13/0059—CAZAC [constant-amplitude and zero auto-correlation]
    • H04J13/0062—Zadoff-Chu
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04J—MULTIPLEX COMMUNICATION
    • H04J13/00—Code division multiplex systems
    • H04J13/16—Code allocation
    • H04J13/22—Allocation of codes with a zero correlation zone
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/0001—Systems modifying transmission characteristics according to link quality, e.g. power backoff
    • H04L1/0023—Systems modifying transmission characteristics according to link quality, e.g. power backoff characterised by the signalling
    • 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
    • H04L27/2602—Signal structure
    • H04L27/2605—Symbol extensions, e.g. Zero Tail, Unique Word [UW]
    • H04L27/2607—Cyclic extensions
    • 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
    • H04L27/2602—Signal structure
    • H04L27/261—Details of reference signals
    • H04L27/2613—Structure of the reference signals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04W—WIRELESS COMMUNICATION NETWORKS
    • H04W56/00—Synchronisation arrangements

Definitions

  • the present invention relates to a sequence of a wireless communication system, and more particularly to a method for establishing a cyclic shift in consideration of characteristics of a CAZAC sequence in order to solve the problem of a frequency offset.
  • CAZAC Constant Amplitude Zero Auto-Correlation
  • Channels generally extract a variety of identifiers (IDs) or information using the CAZAC sequence, for example, synchronization channels (e.g., a primary-SCH, a secondary-SCH, and a BCH) for downlink synchronization, other synchronization channels (e.g., a RACH) for uplink synchronization, and pilot channels (e.g., a data pilot, and a channel quality pilot).
  • synchronization channels e.g., a primary-SCH, a secondary-SCH, and a BCH
  • other synchronization channels e.g., a RACH
  • pilot channels e.g., a data pilot, and a channel quality pilot.
  • the above-mentioned CAZAC sequence has been used to perform the scrambling.
  • the two root indexes are used when each of the root indexes require a high rejection ratio.
  • the above-mentioned two root indexes are adapted to discriminate among different signals or UEs.
  • ZC Zadoff-Chu
  • n is indicative of a sampling index
  • Nzc is indicative of the length of the ZC sequence
  • u is indicative of the root index of the ZC sequence.
  • the frequency offset or the timing offset excessively occurs, so that it is difficult to discriminate between sequences.
  • the present invention is directed to a method for establishing a cyclic shift (CS) considering a frequency offset that substantially obviates one or inure problems due to limitations and disadvantages of the related art.
  • An object of the present invention is to provide a method for establishing a cyclic shift (CS) to provide against a frequency offset, so that it can easily prevent a sequence (e.g., a CAZAC sequence) from being deteriorated under the condition that the frequency offset occurs.
  • CS cyclic shift
  • a method for setting cyclic shift to be applied to a given sequence against an effect of a high Doppler frequency higher than a predetermined value is provided.
  • the method comprises: acquiring a first variable (d u ) of cyclic shift corresponding to a Doppler shift of one subcarrier spacing by using an root index (u) of the given sequence; acquiring secondary variables comprising a number of group (G) comprised in the given sequence, a length of the each group (S) and a number of cyclic shift per the group (P) using the first variable (d u ); and establishing the cyclic shift to be applied to the given sequence according to the secondary variables.
  • the secondary variables further comprise a number of additional cyclic shifts which are applicable to the given sequence not based on the group (R).
  • the given sequence is a Zadoff-Chu (ZC) sequence
  • the first variable is acquired by a equation of
  • d u ⁇ u - 1 ⁇ ⁇ mod ⁇ ⁇ N ZC 0 ⁇ ( u - 1 ⁇ ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC / 2 N ZC - ( u - 1 ⁇ ⁇ mod ⁇ ⁇ N ZC ) , N ZC / 2 ⁇ ( u - 1 ⁇ ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC
  • u indicates the root index of the ZC sequence and “N ZC ” corresponds to a length of the ZC sequence.
  • the secondary variables are differently acquired according to a range of the first variable (d u ), and the range of the first variable is divided by a criteria corresponding to 1 ⁇ 3 of the given sequence length (Nzc/3).
  • N CS is a predetermined cyclic shift parameter
  • P corresponds to the number of cyclic shift per the group
  • S corresponds to the length of the each group
  • G corresponds to the number of group
  • R corresponds to the number of additional cyclic shifts.
  • N CS is a predetermined cyclic shift parameter
  • P corresponds to the number of cyclic shift per the group
  • S corresponds to the length of the each group
  • G corresponds to the number of group
  • R corresponds to the number of additional cyclic shifts.
  • the given sequence may be for generating a random access preamble.
  • a method for setting cyclic shift to be applied to a given sequence comprising: determining whether the cyclic shift is to be established according to a restricted sets restricted due to a Doppler shift; and establishing the cyclic shift to be applied to the given sequence considering a cyclic shift corresponding to a Doppler shift of one subcarrier spacing, when the cyclic shift is determined to be established according to the restricted sets.
  • said establishing the cyclic shift to be applied to the given sequence comprises: acquiring a first variable (d u ) indicating the cyclic shift corresponding to the Doppler shift of one subcarrier spacing by using an root index (u) of the given sequence; acquiring secondary variables comprising a number of group (G) comprised in the given sequence, a length of the each group (S), a number of cyclic shift per the group (P) using the first variable (d u ) and a number of additional cyclic shifts which is applicable to the given sequence not based on the group (R), and establishing the cyclic shift to be applied to the given sequence according to the secondary variables.
  • the given sequence is a Zadoff-Chu (ZC) sequence
  • ZC Zadoff-Chu
  • the first variable is acquired by a equation of
  • d u ⁇ u - 1 ⁇ mod ⁇ ⁇ N ZC , 0 ⁇ ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC / 2 N ZC - ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) , N ZC / 2 ⁇ ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC
  • u indicates the root index of the ZC sequence and “N ZC ” corresponds to a length of the ZC sequence.
  • the secondary variables may be differently acquired according to a range of the first variable (d u ), and the range of the first variable is divided by a criteria corresponding to 1 ⁇ 3 of the given sequence length (Nzc/3).
  • N CS is a predetermined cyclic shift parameter
  • P corresponds to the number of cyclic shift per the group
  • S corresponds to the length of the each group
  • G corresponds to the number of group
  • R corresponds to the number of additional cyclic shifts.
  • N CS is a predetermined cyclic shift parameter
  • P corresponds to the number of cyclic shift per the group
  • S corresponds to the length of the each group
  • G corresponds to the number of group
  • R corresponds to the number of additional cyclic shifts.
  • the cyclic shift (C v ) is performed as following equation,
  • the given sequence may be for generating a random access preamble.
  • a method for setting cyclic shift to be applied to a given sequence comprising: (a) acquiring a variable of d u by a equation of,
  • d u ⁇ u - 1 ⁇ mod ⁇ ⁇ N ZC , 0 ⁇ ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC / 2 N ZC - ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) , N ZC / 2 ⁇ ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC
  • N CS is a predetermined cyclic shift parameter
  • the restricted sets are a cyclic shift sets restricted due to a Doppler shift
  • the unrestricted sets are a cyclic shift sets not restricted due to the Doppler shift
  • a method for transmitting a random access preamble using cyclic shift comprising: acquiring a root index (u) of a sequence for the random access preamble from system information; establishing the cyclic shift to be applied to the sequence, in said establishing, when the cyclic shift is determined to be established according to the restricted sets restricted due to a Doppler shift, the cyclic shift to be applied to the sequence is established by considering a cyclic shift corresponding to a Doppler shift of one subcarrier spacing; generating the sequence according to the root index (u) with the established cyclic shift; and transmitting the sequence with the cyclic shift as the random access preamble.
  • said establishing the cyclic shift to be applied to the sequence comprises: acquiring a first variable (d u ) indicating the cyclic shift corresponding to the Doppler shift of one subcarrier spacing by using the root index (u) of the given sequence; acquiring secondary variables comprising a number of group (G) comprised in the sequence, a length of the each group (S), a number of cyclic shift per the group (P) using the first variable (d u ) and a number of additional cyclic shifts which is applicable to the sequence not based on the group (R), and establishing the cyclic shift to be applied to the sequence according to the secondary variables.
  • the given sequence is a Zadoff-Chu (ZC) sequence
  • the first variable is acquired by a equation of
  • d u ⁇ u - 1 ⁇ mod ⁇ ⁇ N ZC , 0 ⁇ ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC / 2 N ZC - ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) , N ZC / 2 ⁇ ( u - 1 ⁇ mod ⁇ ⁇ N ZC ) ⁇ N ZC
  • u indicates the root index of the ZC sequence and “N ZC ” corresponds to a length of the ZC sequence.
  • the secondary variables are differently acquired according to a range of the first variable (d u ), and the range of the first variable is divided by a criteria corresponding to 1 ⁇ 3 of the given sequence length (Nzc/3).
  • N CS is a predetermined cyclic shift parameter
  • P corresponds to the number of cyclic shift per the group
  • S corresponds to the length of the each group
  • G corresponds to the number of group
  • R corresponds to the number of additional cyclic shifts.
  • N CS is a predetermined cyclic shift parameter
  • P corresponds to the number of cyclic shift per the group
  • S corresponds to the length of the each group
  • G corresponds to the number of group
  • R corresponds to the number of additional cyclic shifts.
  • the present invention can easily establish a cyclic shift (CS) interval at a specific location having no overlapping by considering a channel response of a reception (Rx) sequence and an alias location of this reception (Rx) sequence, although a reception (Rx) signal is shifted by a frequency offset irrespective of categories of a domain generating a sequence, so that it can greatly reduce the number of the detection errors and the false alarm rate.
  • CS cyclic shift
  • the present invention can minimize the influence of a frequency offset on a high-mobility cell.
  • FIG. 1 is a conceptual diagram illustrating the influence of a frequency offset caused by a pulse shaping in a frequency domain when a sequence is mapped to a sub-carrier according to the present invention
  • FIG. 2 is a conceptual diagram illustrating different frequency offset situations existing in a plurality of cells according to the present invention
  • FIG. 3 is a conceptual diagram illustrating a sequence allocation method when a sequence is a CAZAC sequence according to the present invention
  • FIG. 4 is a conceptual diagram illustrating aliases which occur in a time-domain channel response of a reception sequence due to the frequency offset according to the present invention
  • FIG. 5 is a conceptual diagram illustrating a method for establishing a new cyclic shift (CS)-applying unit by adding an additional margin to an old CS-applying unit according to the present invention
  • FIGS. 6 and 7 are conceptual diagrams illustrating application examples of the additional margin of FIG. 5 under the condition that a sequence index is low according to the present invention
  • FIGS. 8 and 9 are conceptual diagram illustrating exemplary additional margins of FIG. 5 under the condition that a sequence index is high according to the present invention
  • FIG. 10 shows an example of a single group composed of P cyclic-shift-sets according to the present invention
  • FIG. 11 is a conceptual diagram illustrating a method for establishing a cyclic shift (CS)-applying group and the CS-applying interval of each group according to the present invention
  • FIG. 12 shows locations at which pulses occur by an interference when the CAZAC index is contained in the interval of N/3 ⁇ N/2 according to the present invention
  • FIG. 13 is a flow chart illustrating a restricted cyclic shift set according to one embodiment of the present invention.
  • FIG. 14 is a conceptual diagram illustrating a method for establishing a variable (d u ) of a cyclic shift corresponding to the Doppler shift associated with the 1 sub-carrier spacing when the restricted cyclic shift set is established according to the present invention
  • FIG. 15 is a conceptual diagram illustrating a specific case in which the variable (d u ) is less than a basic unit N CS to which the cyclic shift (CS) is applied according to the present invention
  • FIG. 16 is a conceptual diagram illustrating, a method for calculating a variable establishing the cyclic shift within the interval of N CS ⁇ d u ⁇ (N ZC /3) according to the present invention
  • FIG. 17 is a conceptual diagram illustrating a method for calculating a variable establishing the cyclic shift within the interval of (N ZC /3) ⁇ d u ⁇ (N ZC ⁇ N CS )/2 according to the present invention
  • the present invention provides a cyclic shift (CS) setup method to provide against the frequency offset, so that it can easily prevent a sequence (i.e., CAZAC sequence) performance from being deteriorated.
  • CS cyclic shift
  • the present invention will disclose the method for applying the cyclic shift to the CAZAC sequence, and the influence of the frequency offset of the CAZAC sequence.
  • the cyclic shift may be applied to the CAZAC sequence according to two schemes, i.e., a first scheme for performing the cyclic shift on the sequence, and a method for multiplying an exponential function of other areas by a time- or frequency-domain sequence, and performing the cyclic shift on the multiplied result.
  • a method for applying the cyclic shift by multiplying an exponential function by the sequence can be represented by the following equation 3:
  • C v is indicative of the degree of the cyclic shift
  • n is indicative of a sampling index
  • N ZC is indicative of the ZC-sequence length
  • u is indicative of an root index of the ZC sequence.
  • the CAZAC sequences can be distinguished from each other under the condition that different root indexes are used, however, it should be noted that a difference in cross-correlation occurs among the CAZAC sequences.
  • the cross-correlation value between the CAZAC sequences is zero, so that the above-mentioned CAZAC sequences are used when a high rejection ratio is required for the two CAZAC sequences.
  • the CAZAC sequence associated with the cyclic shift share the time-frequency resources within the same cell, so that they can be used to discriminate among different signals/UEs during the transmission of data/control signals.
  • the present invention may encounter the excessive deterioration of a performance and false alarm rate.
  • FIG. 1 is a conceptual diagram illustrating the influence of a frequency offset caused by a pulse shaping in a frequency domain when a sequence is mapped to a sub-carrier according to the present invention.
  • each of sequence samples is mapped to the sub-carrier. If a reception end performs the signal sampling due to the frequency offset as denoted by the location of “Interference”, signals of neighboring sub-carriers are mixed within a single sample.
  • the pulse-shaping function is p(x)
  • the response of an arbitrary sub-carrier can be represented by the following equation 5:
  • r(k, f off ) is indicative of a reception (Rx)-frequency response at the k-th sub-carrier location if the frequency offset is f off
  • c(n) is indicative of a CAZAC sequence mapped to the sub-carrier by the user equipment (UE)
  • p(f) is indicative of a pulse-shaping function in a frequency domain
  • ⁇ o is indicative of a sub-carrier spacing.
  • the above Equation 5 outputs only the value c(k). Otherwise, in the case of f off ⁇ 0, the signal of the neighboring sub-carrier may enter the reception end, so that there arises a performance deterioration. Due to the performance deterioration caused by the frequency offset, the probability of encountering the detection error in the reception end increases, and the false alarm rate and/or miss-detection may unavoidably increase in the reception end.
  • the cyclic shift is applied in the time domain and the CAZAC sequence is transmitted within the frequency domain, one may not discriminate among various sequences. And, the above-mentioned problem may occur in a situation, even when the CAZAC sequence is transmitted within the time domain as a form of the timing offset.
  • the frequency offset or the timing offset excessively occurs, so that the present invention has difficulty in discriminating among sequences when the frequency- or timing-offset occupies at least the half of a single sub-carrier spacing.
  • the degree of the frequency offset and the degree of the Doppler shift may be different in individual cells of a cellular mobile communication system.
  • the present invention provides different cyclic shift (CS) setup methods according to the degree of frequency offsets of the individual cells, and a detailed description thereof will hereinafter be described.
  • CS cyclic shift
  • FIG. 2 is a conceptual diagram illustrating different frequency offset situations existing in a plurality of cells according to the present invention.
  • the present invention may determine that a specific cell having many high-mobility UEs in a cellular mobile communication system including many cells has a high frequency offset. There is every probability that a UE contained in a cell including residential districts may be a low-speed UE, so that the frequency offset within the cell may be low.
  • FIG. 2 shows cells A and B adjacent to a high-speed railway, and the cell C distant from the high-speed railway.
  • the present invention has an advantage in that a sequence which is very resistant to the frequency offset may be allocated.
  • the probability of including the high-speed UE in a corresponding cell is relatively low, so that there is no need to allocate only the sequence which is very resistant to the frequency offset.
  • first sequences caused by the root indexes of the individual sequences and second sequences caused by the cyclic shift applied to the first sequences may have different frequency offset characteristics.
  • the present invention establishes the restricted case and the unrestricted case, and provides the cyclic shift setup methods for the individual cases.
  • the restricted case indicates that the influence of the Doppler shift is higher than a predetermined threshold value so that an unexpected limitation occurs in the process for establishing a cyclic shift (CS)-applying interval.
  • the unrestricted case indicates that the influence of the Doppler shift is equal to or less than the predetermined threshold value, so that there is no limitation in the process for establishing the CS-applying interval.
  • FIG. 3 is a conceptual diagram illustrating a sequence allocation method when a sequence is a CAZAC sequence according to the present invention.
  • the CAZAC sequence may include a root sequence of each root CAZAC sequence and a Zero Correlation Zone (ZCZ) sequence to which different cyclic shifts (also called circular shifts) are applied.
  • ZCZ Zero Correlation Zone
  • FIG. 3 shows the root sequence for each root index in Nt root indexes, and the ZCZ-sequence set to which L cyclic shifts are applied to each root sequence.
  • the ZCZ is indicative of a cyclic shift-applying interval to which the cyclic shift (CS) is applied, so that the Node-B is able to discriminate among RACH signals.
  • the present invention may have difficulty in discriminating among ZCZ sequences by the frequency offset. Therefore, the present invention may determine that the ZCZ sequence is not used in a predetermined cell having a frequency offset of more than a predetermined level.
  • the threshold value used to decide the degree of the frequency offset of each cell may be properly decided according to the number of available sequences of a corresponding system and the frequency offset degree of each cell.
  • the probability of containing the high-speed UE in this cell is very high as shown in the cell A or B.
  • k is indicative of a frequency-domain index
  • N is indicative of the CAZAC-sequence length
  • M is indicative of a CAZAC sequence
  • Tx transmission
  • Rx reception
  • R ⁇ ( k , N , M ) c ⁇ ( K , N , M ) ⁇ exp ⁇ ( - 2 ⁇ ⁇ M ⁇ d N ⁇ k ) [ Equation ⁇ ⁇ 6 ]
  • d is indicative of the amount of a frequency-domain delay caused by the frequency offset.
  • Equation 6 if the CAZAC index “M” has a very low value, or if the CAZAC index “M” has the highest value from among a total of Nt sequence indexes, the influence of the exponential function caused by the frequency offset is gradually reduced, so that the influence of the frequency offset in the Rx signal is gradually reduced.
  • the present invention may allocate only the root sequence.
  • the present invention may allow the CAZAC sequence to employ a specific sequence which is in an initial predetermined range or the last predetermined range from among total indexes.
  • predetermined range can be established in different ways according to system detection performances.
  • the above-mentioned method increases categories or types of available sequences, so that there is almost no need to perform the cell planning.
  • the sequence to be used in the cell of the high frequency offset may be set to CAZAC indexes 0 , 1 , 2 , Nt ⁇ 2, Nt ⁇ 1, and Nt.
  • the present invention may not use the sequence index sued for the cell having the high frequency offset as necessary, resulting in the implementation of high efficiency.
  • the present invention in the case of using the ZCZ sequence to guarantee the number of available sequences in the cell having the high frequency offset and/or to guarantee the performance of estimating the time delay occurred in the channel, the present invention establishes the cyclic shift interval in the restricted case in consideration of the alias (i.e., Doppler shift) caused by the frequency offset. As a result, the present invention prevents the performance deterioration caused by the frequency offset, and a detailed description thereof will hereinafter be described.
  • the alias i.e., Doppler shift
  • the frequency response of the Rx signal can be represented by the above Equation 6.
  • Equation 6 shows that a signal value is transferred from all the neighboring sub-carriers due to the frequency offset.
  • a specific component greatly affecting the channel response of the Rx signal may be set to a part located at both sides of a corresponding sub-carrier, wherein the part receives a signal of the neighboring sub-carrier.
  • Equation 7 The pulse-shaping function of Equation 7 can be easily denoted by a raised cosine- or sinc-function.
  • the pulse-shaping function is represented by constants ⁇ 0 , ⁇ ⁇ 1 , and ⁇ 1 .
  • the channel response of the Rx signal occurs at three points, i.e., “t” indicative of a target position in the time domain, “t ⁇ M” indicative of a position shifted to the left side, and “t+M” indicative of a position shifted to the right side. It can be recognized that the channel response generated at the M-shifted position on, the basis of the right/left sides corresponds to the alias of the Rx signal, i.e., the Doppler shift component having the 1-subcarrier spacing.
  • FIG. 4 is a conceptual diagram illustrating aliases which occur in a time-domain channel response of a reception sequence due to the frequency offset according to the present invention.
  • cyclic shift is applied to a sequence used in a specific cell having a frequency offset of more than a predetermined level, a single channel response occurs at the target position in the Rx-channel response of the corresponding sequence, and two additional aliases may occur in the Rx-channel response of the corresponding sequence according to the 1-subcarrier-spacing-sized Doppler shift.
  • the present invention considers the alias generated in the channel response, so that it establishes the CS-applying interval during a specific period in which the channel response of the Rx sequence does not overlap with the alias of the above channel response.
  • M sequence index
  • FIGS. 5 ⁇ 11 assume that the cyclic shift unit is set to T 0 .
  • FIG. 5 is a conceptual diagram illustrating a method for establishing a new cyclic shift (CS)-applying unit by adding all additional margin to an old CS-applying unit according to the present invention.
  • the present invention generates a cyclic-shifted preamble according to the design based on the RACH component.
  • the reception end of the present invention may easily mistake a normal sequence for another sequence.
  • the present invention may use an additional cyclic shift margin as shown in FIG. 5 .
  • the delay spread is indicative of a channel delay spread
  • the round trip delay (RTD) is indicative of a propagation proceeding time of a physical distance between the user equipment (UE) and the Node-B.
  • the present invention adjusts the margin size for each sequence, so that it can reduce the influence of the frequency offset when the sequence is used.
  • the cyclic shift unit is decided by the function of the CAZAC sequence.
  • T 0 is indicative of a common cyclic shift unit irrespective of the sequence index
  • T margin (M) is indicative of an additional margin used when the sequence index is M. This margin can be decided by other methods according to usages of the sequence and the cyclic shift.
  • the cyclic shift unit is at least 2M
  • this additional margin may be changed to another margin according to the CS-applying area.
  • FIGS. 6 and 7 The above-mentioned situation is shown in FIGS. 6 and 7 .
  • FIGS. 6 and 7 are conceptual diagrams illustrating application examples of the additional margin of FIG. 5 under the condition that a sequence index is low according to the present invention.
  • the interval of M due to the frequency offset is smaller than the cyclic shift interval of T 0 .
  • the interval of M due to the frequency offset is smaller than the cyclic shift interval of T 0 .
  • the oblique-lined part of FIGS. 6 and 7 indicates the cyclic shift opportunity.
  • the pulse affected by the frequency offset may occur at a single point of the left side, and may occur at a single point of the right side. If the signal includes T 0 used as a basic cyclic shift unit, T margin (M) may be set to 2M.
  • the additional margin is applied to all the indexes, so that the present invention may define the cyclic shift highly resistant to the frequency/timing offsets.
  • FIGS. 8 and 9 are conceptual diagram illustrating exemplary additional margins of FIG. 5 under the condition that a sequence index is high according to the present invention.
  • FIG. 8 shows the case in which the CAZAC index “M” is 2T 0 ⁇ 3T 0
  • FIG. 9 shows the case in which the CAZAC index “M” is 3T 0 ⁇ 4T 0
  • the cyclic shift set denoted by the oblique-lined part may be additionally inserted in the intermediate space.
  • the case of FIG. 9 has a wider space, so that at least two cyclic shifts can be inserted into this wider space.
  • FIG. 10 shows an example of a single group composed of P cyclic-shift sets according to the present invention.
  • slots denoted by the oblique-lined parts are defined in the 3M range in which the block is constructed by pulses, and the M range is PT 0 ⁇ (P+1)T 0 , it can be recognized that P cyclic-shift-sets are constructed.
  • the 3M or 2M+PT 0 unit will hereinafter be referred to as a cyclic shift group.
  • a specific sequence to which the cyclic shift is applied includes a predetermined number of cyclic shift groups.
  • the predetermined number of cyclic shifts can be applied to each cyclic shift group, so that the predetermined number acyclic shifts can be applied to the cyclic shift component caused by the Doppler shift.
  • FIG. 11 is a conceptual diagram illustrating a method for establishing a cyclic shift (CS)-applying group and the CS-applying interval of each group according to the present invention.
  • units of cyclic shift groups can be defined in total sequences, and each cyclic shift group can be defined as shown in FIG. 10 .
  • the number of cyclic shift groups is G and the number of cyclic shifts for each group is P, the total number of available cyclic shifts is P*G.
  • the sequence is divided into groups, and each group searches for a restricted available cyclic shift in each group.
  • all the available cyclic shifts are defined in the index range in which the number of cyclic shift groups is “1”. If the sequence length is N, this range having the sequence length of N corresponds to indexes ranging from 1 ⁇ N/3 to 2N/3 ⁇ N ⁇ 1. In this case, the k-th index has the same cyclic shift group as that of the (N ⁇ k)-th index and the cyclic shift set.
  • FIG. 12 shows locations at which pulses occur by an interference when the CAZAC index is contained in the interval of N/3 ⁇ N/2 according to the present invention.
  • a single square of FIG. 12 indicates the cyclic shift unit. If the CAZAC index is higher than “N/3”, all the consecutive cyclic shift positions (i.e., the cyclic shift positions defined by T 0 ) cannot be used, and they can be used according to predetermined rules.
  • FIG. 13 is a flow chart illustrating a restricted cyclic shift set according to one embodiment of the present invention.
  • the present invention provides a method for establishing the cyclic shift in consideration of the aliasing, so that there is no confusion between a desired channel response and this aliasing.
  • the present invention provides a distance “d u ” between the response generated by the Doppler shift and a desired channel response using a given sequence root index “u”.
  • the above distance corresponds to the cyclic shift generated by the Doppler shift corresponding to the 1-subcarrier spacing.
  • variable “d u ” A detailed description of the variable “d u ” will hereinafter be described in detail.
  • FIG. 14 is a conceptual diagram illustrating a method for establishing a variable (d u ) of a cyclic shift corresponding to the Doppler shift associated with the 1-subcarrier spacing when the restricted cyclic shift set is established according to the present invention.
  • the peak position generated by the correlation operation of the reception end is denoted by “ 1401 ”.
  • the peak position at the reception end appears at the cyclic shift unit N CS ( 1402 ) used as the cyclic shift unit basically decided by the system.
  • the peak position caused by the correlation operation of the reception end is decided according to the sequence indexes.
  • the distance between the peak position based on the Doppler shift corresponding to the 1-subcarrier spacing ⁇ f and the ideal peak position is called “d u ”.
  • FIG. 14(b) shows the shift of the reception-end channel response caused by the Doppler frequency ⁇ f.
  • FIG. 14(c) shows the shift of the reception-end channel response caused by the Doppler frequency + ⁇ f.
  • the value “d u ” may be considered to be the cyclic shift caused by the Doppler shift.
  • the present invention controls the established restricted cyclic shift not to be overlapped with the channel response movement caused by the Doppler shift.
  • the present invention excludes the reserved areas “reserved” of FIGS. 14(a) and 14(b) from the established cyclic shift interval, so that it can prevent an unexpected confusion from being generated between channel responses although the relatively high Doppler shift has occurred.
  • the present invention acquires secondary variables using the acquired variable “d u ” of the above step S 1301 at step S 1302 . Namely, the present invention acquires the number (G) of cyclic shift groups, the number (P) of shifts applicable to each group, and the length (S) of each group from current sequences (e.g., ZC sequences).
  • current sequences e.g., ZC sequences
  • the above-mentioned secondary variables must be differently established according to sequence indexes, because the group length is changed to another according to the sequence indexes. And, the variable “d u ” is dependent on the sequence index, so that the present invention provides a method for establishing secondary variables according to the range of the variable “d u ”.
  • the present invention may apply not only the above group-based cyclic shift but also an additional cyclic shift using a specific area which is not contained in the cyclic shift group within the sequence range, and a detailed description thereof will hereinafter be described.
  • step S 1303 the present invention establishes the cyclic shift using the acquired secondary variables of step S 1302 .
  • the restricted cyclic shift according to the present invention has been proposed to prevent the high Doppler frequency effect front being generated.
  • the “C off ” value indicates the degree of an offset generated by the Doppler shift.
  • this offset degree may have the same meaning as that of the d u variable. Otherwise, if the offset degree generated by the Doppler shift is equal to or higher than the half of the given sequence range, the resultant value acquired when the “C off ” value is subtracted from the total sequence length may correspond to the d u variable.
  • the “C off ” value is dependent on the root index of the used sequence.
  • the preamble may be generated from either the time domain or the frequency domain.
  • the relationship between “C off ” and “u” values is dependent on the domain generating the preamble.
  • the present invention may induce the “C off ” value using the following method, and a detailed description thereof will hereinafter be described.
  • the pulse-shaping function “p(f)” may be denoted by a raised cosine- or sinc-function.
  • u indicates the root index
  • Nzc indicates the sequence length
  • Equation 12 is applied to Equation 11, it can be recognized that “s(n)” is composed of three signals.
  • a first term of the “s(n)” value is indicative of a simple DC component
  • a second term is indicative of a complex exponential wave having the frequency of u/Nzc
  • a third term is indicative of a complex exponential wave having the frequency of ⁇ u/Nzc.
  • the “C off ” value can be calculated by the following method.
  • ⁇ f indicates the frequency offset denoted by the hertz (Hz) unit
  • f s is indicative of a sampling rate of the RACH preamble.
  • the channel response position is called a main lobe
  • the alias response position of a channel affected by the (+/ ⁇ ) Doppler frequency is called a side lobe.
  • the main lobe is indicative of the position caused by the 0 offset, and is equal to a normal channel response position when there is no influence of the Doppler frequency.
  • the positive (+) side Lobe is indicative of the position caused by the positive (+) offset, and is equal to an alias response position affected by the positive (+) Doppler frequency.
  • the negative ( ⁇ ) side lobe is indicative of the position. caused by the negative ( ⁇ ) offset, and is equal to an alias response position affected by the negative ( ⁇ ) Doppler frequency.
  • “m” is indicative of the lowest integer capable of allowing the C off,u value to be an integer. For example, if the ZC-sequence length is 839 and the root index is 300, the “m” value is set to 59, and the C off,u value is set to 165.
  • Equation 18 “m” is indicative of the smallest positive number capable of allowing the C off value to be an integer, and “Nzc” is indicative of the ZC length,
  • Equation 19 a negative sign ( ⁇ ) is the opposite of the positive sign (+), so that it can be represented by the following equation 20:
  • C off,u (1/u)mod N zc [Equation 20]
  • the CAZAC-sequence index “u” becomes “C off ” without any change. If the CAZAC sequence is used in the time domain, the “(1/u) mod Nzc” is performed on the index “u” of the CAZAC sequence, so that the C off value can be acquired.
  • the distance “d u ” between the main-lobe and the side-lobe can be represented by the following equation 21:
  • the present invention provides a variety of methods in establishing the restricted cyclic shifts, for example, a first method for establishing the restricted cyclic shift without using the fixed cyclic shift position, and a second method for establishing the restricted cyclic shift using the fixed cyclic shift position.
  • the first method is associated with the restricted cyclic shift without considering the pre-defined shift position.
  • the second method is associated with the restricted cyclic shift with the consideration of the pre-defined shift position.
  • “round” is indicative of a round-off function.
  • This embodiment of the present invention will disclose a method for establishing the restricted cyclic shift using only the influence of the Doppler shift, without using the fixed cyclic shift position.
  • the present invention assumes that the preamble is generated using the ZC sequence used as the CAZAC sequence.
  • the “d u ” value of the following equation 22 shows a specific case in which the ZC sequence is generated in the frequency domain.
  • the “d u ” value can be represented by the following equation 23:
  • Equation 23 “m” is indicative of the smallest positive number capable of allowing the “d u ” value to be an integer, and Nzc is indicative of the ZC length. Equation 23 can also be represented by the following equation 24:
  • the restricted cyclic shift is decided, the C v value can be represented by the following equation 25.
  • this case is considered to be a first case (Case 1), and a detailed description thereof will hereinafter be described.
  • the present invention may establish the cyclic shift corresponding to an integer multiple of Ncs equal to the basic cyclic shift unit.
  • the case of the unrestricted sets less affected by the Doppler shift may establish the cyclic shift corresponding to the integer multiple of Ncs.
  • the case of the restricted sets greatly affected by the Doppler shift may establish the number (G) of cyclic shift groups, the number (P) of cyclic shifts applicable to each cyclic shift group, and the number (R) of additional cyclic shifts.
  • the method for calculating each secondary variable may be differently decided by the “d u ” range as previously stated in FIG. 13 .
  • FIG. 15 is a conceptual diagram illustrating a specific case in which the variable (d u ) is less than a basic unit N CS to which the cyclic shift (CS) is applied according to the present invention.
  • the cyclic shift unit (N CS ) is designed in consideration of the delay spread and the RTD which are capable of being generated in the channel. Therefore, if d u is less than N cs , a peak caused by the delay spread and/or the RTD within the N CS range may overlap with the other peak caused by the Doppler shift, as shown in FIG. 15 . Therefore, when establishing the restricted cyclic shift, this embodiment does not establish the cyclic shift for the case in which the d u value is less than the N cs value.
  • FIG. 16 is a conceptual diagram illustrating a method for calculating a variable establishing the cyclic shift within the interval of N CS ⁇ d u ⁇ (N ZC /3) according to the present invention.
  • the cyclic shift area generated by the Doppler frequency occurs in the interval of N CS ⁇ d u ⁇ (N ZC /3). Specifically, the cyclic shift area appears in the range of a sequence length located at both sides of the intended cyclic shift.
  • the cyclic shift areas caused by the Doppler frequency of both sides of the cyclic shift may be grouped into a single group. Also, the present invention determines how many Ncs values can be used without overlapping with others within the “d u ” range.
  • the distance between a specific channel response 1601 and the alias 1601 a caused by the Doppler shift is denoted by “d u ”.
  • the distance between the specific channel response 1601 and the other alias 1601 b caused by the Doppler shift is denoted by “d u ”.
  • aliases generated in the left area on the basis of the channel response 1601 are contained in the d u range, and other aliases generated in the right area on the basis of the channel response 1601 may exist outside of the d u range.
  • a corresponding length corresponds to P ⁇ N CS ( 1602 ).
  • a specific area 1603 less than the group length (S) may be left.
  • the length of the “ 1603 ” area corresponds to “N ZC ⁇ G ⁇ S”, where N ZC is the length of an overall sequence, G is the number of groups, and S is the group length.
  • FIG. 17 is a conceptual diagram illustrating a method for calculating a variable establishing the cyclic shift within the interval of (N ZC /3) ⁇ d u ⁇ (N ZC ⁇ N CS )/2 according to the present invention.
  • the variable S is equal to the sum of the length of the 1702 area (N ZC ⁇ 2d u ) and the length of the 1703 area corresponding to the “P ⁇ N CS ” length.
  • the “P ⁇ N CS ” length is variable with the number of cyclic shifts applicable to each real group located at the right side
  • the spacing between a specific channel response and two aliases of this channel response exceeds the total sequence range, so that the present invention controls the individual aliases not to overlap with each other within the d u range.
  • the cyclic shift group is established in the d u range ( 1704 ) as described above, and the 1705 area having the length shorter than that of the cyclic shift group may be left.
  • This length of the 1705 area corresponds to “d u ⁇ G ⁇ S”. If the length of the 1705 area is longer than N cs , the additional cyclic shift may be applied to this length.
  • the number R of additional cyclic shifts can be represented by max( ⁇ (d u ⁇ G ⁇ S)/N CS ⁇ ).
  • the N ZC ⁇ 2d u area ( 1702 ) located at the center part must be larger than N CS , so that the cyclic shift can be applied to each group. Namely, this requirement can be represented by N ZC ⁇ 2d u >N CS .
  • Equation 34 the restricted set of Equation 25 can be represented by the following equation 34.
  • Equation 34 S ⁇ v/P ⁇ is indicative of a start point of each cyclic shift group. If the v value is less than the number P of cyclic shifts for each group, S ⁇ v/P ⁇ is indicative of “0”. If the v value is higher than the number P of cyclic shifts for each group and is less than “2P”, S ⁇ v/P ⁇ is indicative of “S” corresponding to the length of a single cyclic shift group.
  • (v mod P) ⁇ N CS is indicative of the position of the cyclic shift applied to each group (or the position of an additional cyclic shift).
  • the v value is shifted to another position by a predetermined distance N cs at intervals of the P time.
  • Equation 34 does not discriminate between the groups or components of the groups, and is indicative of the total number of cyclic shifts.
  • the total number of cyclic shifts can be represented by P ⁇ G+R.
  • the position at which the alias occurs by the (+) Doppler frequency is denoted by the “+offset” position, and the position at the alias occurs by the ( ⁇ ) Doppler frequency is denoted by “ ⁇ offset” position.
  • the cyclic shift of FIG. 18 can begin at any position.
  • the cyclic shift of FIG. 19 can be performed at only the N cs -multiple position.
  • the N cs value of FIG. 18 is equal to that of FIG. 19 , however, start positions of the individual cyclic shifts are different in FIGS. 18 and 19 .
  • the case of FIG. 18 can construct many more cyclic shifts than those of FIG. 19 .
  • the case of FIG. 18 eliminates the restriction of the start position of the cyclic shift, so that it can acquire the additional restricted cyclic shift.
  • the restricted cyclic shift having no consideration in the pre-defined shift position is preferred, and the above-mentioned best mode is established under the aforementioned assumption.
  • the present invention can also be applied to the restricted cyclic shift having the pre-defined shift position, so that the following description will disclose the above-mentioned two cases.
  • Equation 21 indicates the alias distance, irrespective of the preamble generation domain.
  • the number of restricted available cyclic shifts per root LC sequence is differently decided according to the root index and the N cs value, so that different equations for use in different alias-distance ranges are required.
  • the range in which the restricted cyclic shift can be used is set to Ncs ⁇ d u ⁇ (Nzc ⁇ Ncs)/2. In this range, the cyclic shift range and two alias ranges are not overlapped with each other.
  • the number of restricted cyclic shifts can be represented by the following equation 35:
  • Equation 35 “P” is indicative of the number of restricted cyclic shifts per group, “G” is indicative of the number of groups generated in a single preamble sequence, and “R” is indicative of the number of restricted additional cyclic shifts which is not based on the additional group.
  • Ncs ⁇ d u ⁇ (Nzc ⁇ Ncs)/2 The available range of the restricted cyclic shift is denoted by Ncs ⁇ d u ⁇ (Nzc ⁇ Ncs)/2.
  • This interval “Ncs ⁇ d u ⁇ (Nzc ⁇ Ncs)/2” can be divided into “Ncs ⁇ d u ⁇ (Nzc/3)” and “(Nzc/3) ⁇ d u ⁇ (Nzc ⁇ Ncs)/2” on the basis of Nzc/3.
  • Ncs ⁇ d u ⁇ (Nzc ⁇ Ncs)/2 is differently decided on the basis of “Nzc/3”.
  • the range of Ncs ⁇ d u ⁇ (Nzc/3) and the range of (Nzc/3) ⁇ d u ⁇ (Nzc ⁇ Ncs)/2 will hereinafter be described.
  • V a -th restricted cyclic shift range is defined by [C Va, start , C Va, end ] in Equations 36 and 37.
  • Equation 39 “( ) Nzc ” is indicative of a modular operation.
  • Each group has three cyclic shifts, and two additional cyclic shifts exist in the remaining ranges.
  • the total number of restricted cyclic shifts is “5”.
  • the present invention applies the number of calculated groups, the number of restricted cyclic shifts per group, and the group length to Equations 36 and 37, and then establishes the cyclic shift-applying interval in consideration of the above-mentioned parameters.
  • the additional cyclic shift is selected from among the center part and the residual part of the right side.
  • the start position of the Va-th restricted cyclic shift is calculated by applying the above-mentioned parameters to Equations 36 and 37.
  • the present invention applies the number of calculated groups, the number of restricted cyclic shifts per group, and the group length to Equations 36 and 37, and then establishes the cyclic shift-applying interval in consideration of the above-mentioned parameters.
  • Each alias-distance range includes not only G groups, each of which has P cyclic shifts, but also a first additional cyclic shift out of the R 1 groups.
  • the present invention has a particular additional cyclic shift, differently from the other case in which no pre-defined shift position exists in the alias-distance range 2-area.
  • the main region In the alias-distance range 2-area, the main region generally appears in the front samples of the sequence, and the alias regions generally appear in the rear samples of the sequence. However, according to the Case 2, the main region appears in the rear samples of the sequence, and the alias regions appear in the front samples of the sequence.
  • the second additional cyclic shift is denoted by R 2 .
  • the second additional cyclic shift does not appear in the alias-distance range 1.
  • the total number of restricted cyclic shifts can be represented by the following equation 40:
  • V a -th restricted cyclic shift is defined in [C Va, start , C Va, end ] as denoted by Equations 41 and 42:
  • Equations 43 and 44 ( ) Nzc is indicative of a modular operation.
  • Ncs ⁇ d u ⁇ (Nzc/3) i.e., the alias-distance range 1
  • R 1 value is a positive (+) number
  • each group includes three cyclic shifts and two cyclic shifts.
  • the total number of restricted cyclic shifts is “5”.
  • the present invention applies the number of calculated groups, the number of restricted cyclic shifts per group, and the group length to Equations 41 and 42, and then establishes the cyclic shift-applying interval in consideration of the above-mentioned parameters.
  • G ⁇ d u /S ⁇
  • the presence or absence of a second additional cyclic shift must be determined.
  • the shape of the second additional cyclic shift is the opposite of the shape of the conventional cyclic shift, as shown in the last cyclic shift of FIG. 23 .
  • the present invention determines whether the alias range of the second additional cyclic shift is an available range (i.e., d u ⁇ [P ⁇ N CS +(G ⁇ 1) ⁇ S] ⁇ N ZC ⁇ 2d u +N CS ), and determines whether the cyclic shift interval is available (i.e., X+N CS ⁇ 2d u ). If it is determined that the cyclic shift interval is available (i.e., X+N CS ⁇ 2d u ),
  • each group includes three cyclic shifts and no first additional cyclic shift (i.e., zero first additional cyclic shift).
  • each group further includes a single additional cyclic shift in which a relative position of the main region is opposite to that of the alias region. This second additional cyclic shift does not occur when the fixed cyclic shift position is not used, as shown in FIG. 22 .
  • the number of total restricted cyclic shifts is “4”.
  • the present invention applies the number of calculated groups, the number of restricted cyclic shifts per group, and the group length to Equations 41 and 42, and then establishes the cyclic shift-applying interval in consideration of the above-mentioned parameters.
  • a specific system with the fixed cyclic shift may determine the cyclic shift according to the following method.
  • the total sequence range is divided by the cyclic shift value.
  • a maximum number of interference generation ranges may be set to “4”.
  • the first range is set to an available range, and the remaining ranges caused by the offset is set to a restricted range (also called a prohibition range).
  • While the present invention searches for the interference generation range in the n-th range, if an observation range, several ranges caused by the offset, an pre-established available range, and pre-established prohibition ranges are not overlapped with each other, the present invention determines a current range to be an available range, and determines the above several ranges caused by the offset associated with the current range to be prohibition ranges. If the above-mentioned process is repeated until reaching the last range, the present invention may determine the cyclic shift in the system including the fixed cyclic shift.
  • the present invention may apply the aforementioned established cyclic shift-applying interval to only the high-mobility cell in a mobile communication system including several cells.
  • the present invention may determine whether a corresponding cell has the high mobility by determining whether the frequency offset associated with the cell is higher than a predetermined level after acquiring the cell information.
  • the predetermined level is indicative of a frequency offset value, which can be readily decided or modified by those skilled in the art.
  • the present invention may control the Node-B or the UE to determine whether the corresponding cell is the high-mobility cell.
  • the UE has difficulty in estimating the frequency offset value of each of other UEs contained in the cell. Therefore, it is more preferable that the Node-B determines whether the corresponding cell is the high-mobility cell in consideration of several UEs of the cell, and broadcasts the resultant signal over the broadcast charnel.
  • the present invention may include a process for allocating a sequence unallocated to the high-mobility cell.
  • the C v value is defined by equation 45:
  • the parameters of the high-mobility cell can be defined by the following explanation.
  • R 1 max( ⁇ (N ZC ⁇ 2 ⁇ d u ⁇ G ⁇ S)/N CS ⁇ ,0)
  • R 2 0.
  • the method for directly using the shift value of the v-th restricted cyclic shift has been disclosed. Differently from the method, another method for employing the Va value for Va-th restricted cyclic shift so that the restricted cyclic shift can be applied to the present invention.
  • the R 1 value is denoted by.
  • R 1 min(max( ⁇ (d u ⁇ G ⁇ SN CS )/N CS ⁇ ,0),P).
  • the present invention may define the cyclic shift set capable of removing the shift ambiguity caused by the frequency- or timing-offset.
  • the frequency offset or the timing offset is not adjusted to this unsynchronized channel, so that the present invention can increase the strength of this channel.
  • the present invention may define the cyclic shift set in which the first-order interference, the second-order interference, and the higher order interference are considered.
  • the present invention can easily establish a cyclic shift (CS) interval at a specific location having no overlapping by considering a channel response of a reception (Rx) sequence and an alias location of this reception (Rx) sequence, although a reception (Rx) signal is shifted by a channel delay spreading or a propagation delay irrespective of categories of a domain generating a sequence, so that it can greatly reduce the number of the detection errors and the false alarm rate.
  • CS cyclic shift
  • the present invention can minimize the influence of a frequency offset on a high-mobility cell.
  • the present invention relates to a first method for allocating a sequence to each cell in consideration of characteristics of the CAZAC sequence, and a second method for establishing the cyclic shift to be applied to the first method. Therefore, the present invention can be applied to a wireless communication system (e.g., a UE and a Node-B).
  • a wireless communication system e.g., a UE and a Node-B.

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