Method for mapping physical hybrid automatic repeat request indicator channel

Abstract

A method for mapping a physical hybrid automatic repeat request indicator channel (PHICH) is described. The method for mapping a PHICH includes determining an index of a resource element group transmitting a repetitive pattern of the PHICH, according to a ratio of the number of available resource element groups in a symbol in which the PHICH is transmitted and the number of available resource element groups in a first or second OFDM symbol, and mapping the PHICH to the symbol according to the determined index. In transmitting the PHICH, since efficient mapping is performed considering available resource elements varying with OFDM symbols, repetition of the PHICH does not generate interference between neighbor cell IDs and performance is improved.

Claims

1. A method for mapping a physical hybrid automatic repeat request indicator channel (PHICH) to one or more orthogonal frequency division multiplexing (OFDM) symbols, each OFDM symbol comprising one or more resource element groups, the method comprising: determining indexes of one or more resource element groups in which the PHICH is transmitted; and mapping the PHICH to the one or more OFDM symbols according to the determined indexes, wherein the indexes are determined according to ratio n′.sub.l′i/n′.sub.0 or ratio n′.sub.l′i/n′.sub.1 in an OFDM symbol with index l′.sub.i, wherein n′.sub.l′i is the number of available resource element groups in the OFDM symbol with index l′.sub.i, wherein n′.sub.0 is the number of available resource element groups in an OFDM symbol with index 0 in a sub-frame, wherein n′.sub.1 is the number of available resource element groups in an OFDM symbol with index 1 in the sub-frame, and wherein the number of available resource element groups in a specific OFDM symbol is defined as the number of resource element groups to which a physical control format indicator channel (PCFICH) is not allocated among a total resource element groups in the specific OFDM symbol.

2. The method of claim 1, wherein when the PHICH is mapped to two OFDM symbols in the sub-frame, the OFDM symbol index l′.sub.i is defined as (.sup.└m′/2.sup.┘+i+1)mod 2, where i denotes an integer of 0 to 2 and m′ denotes an index related to a PHICH group in which the PHICH is included.

3. The method of claim 1, wherein when the PHICH is mapped to one OFDM symbol in the sub-frame, the OFDM symbol index 1′.sub.i is defined as 0, where i denotes an integer of 0 to 2.

4. The method of claim 1, wherein the PHICH is transmitted in units of a PHICH group including a plurality of PHICHs, and wherein each of the resource element groups consists of two or four resource elements.

5. The method of claim 1, wherein when the PHICH is mapped to one or three OFDM symbols in the sub-frame, the indexes of the resource element groups in which the PHICH is repeatedly transmitted three times are determined using the following equation: ${\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^1}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^1}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}$ where N.sub.ID.sup.cell denotes a cell ID, i denotes an index of the repetition of the PHICH, and m′ denotes an index related to a PHICH group in which the PHICH is included.

6. The method of claim 1, wherein when the PHICH is mapped to two OFDM symbols in the sub-frame, the indexes of the resource element groups in which the PHICH is repeatedly transmitted three times are determined using the following equation: ${\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}$ where N.sub.ID.sup.cell denotes a cell ID, i denotes an index of the repetition of the PHICH, and m′ denotes an index related to a PHICH group in which the PHICH is included.

7. A base station for transmitting ACK/NACK (acknowledgement/negative acknowledgement) information through a physical hybrid automatic repeat request indicator channel (PHICH) mapped to one or more orthogonal frequency division multiplexing (OFDM) symbols, each OFDM symbol comprising one or more resource element groups, the base station comprising: a processor configured to determine indexes of one or more resource element groups in which the PHICH is transmitted, map the PHICH to the one or more OFDM symbols according to the determined indexes, and transmit the ACK/NACK through the mapped PHICH, wherein the indexes are determined according to ratio n′.sub.l′i/n′.sub.0 or ratio n′.sub.l′i/n′.sub.1 in an OFDM symbol with index l′.sub.i, wherein n′.sub.l′i is the number of available resource element groups in the OFDM symbol with index l′.sub.i, wherein n′.sub.0 is the number of available resource element groups in an OFDM symbol with index 0 in a sub-frame, wherein n′.sub.1 is the number of available resource element groups in an OFDM symbol with index 1 in the sub-frame, and wherein the number of available resource element groups in a specific OFDM symbol is defined as the number of resource element groups to which a physical control format indicator channel (PCFICH) is not allocated among a total resource element groups in the specific OFDM symbol.

8. The base station of claim 7, wherein when the PHICH is mapped to two OFDM symbols in the sub-frame, the OFDM symbol index l′.sub.i is defined as (.sup.└m′/2.sup.┘+i+1)mod 2, where i denotes an integer of 0 to 2 and m′ denotes an index related to a PHICH group in which the PHICH is included.

9. The base station of claim 7, wherein when the PHICH is mapped to one OFDM symbol in the sub-frame, the OFDM symbol index l′.sub.i is defined as 0, where i denotes an integer of 0 to 2.

10. The base station of claim 7, wherein the PHICH is transmitted in units of a PHICH group including a plurality of PHICHs, and wherein each of the resource element groups consists of two or four resource elements.

11. The base station of claim 7, wherein when the PHICH is mapped to one or three OFDM symbols in the sub-frame, the indexes of the resource element groups in which the PHICH is repeatedly transmitted three times are determined using the following equation: ${\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^1}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^1}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}$ where N.sub.ID.sup.cell denotes a cell ID, i denotes an index of the repetition of the PHICH, and m′ denotes an index related to a PHICH group in which the PHICH is included.

12. The base station of claim 7, wherein when the PHICH is mapped to two OFDM symbols in the sub-frame, the indexes of the resource element groups in which the PHICH is repeatedly transmitted three times are determined using the following equation: ${\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}$ where N.sub.ID.sup.cell denotes a cell ID, i denotes an index of the repetition of the PHICH, and m′ denotes an index related to a PHICH group in which the PHICH is included.

13. A mobile station for receiving ACK/NACK (acknowledgement/negative acknowledgement) information through a physical hybrid automatic repeat request indicator channel (PHICH) mapped to one or more orthogonal frequency division multiplexing (OFDM) symbols, each OFDM symbol comprising one or more resource element groups, the mobile station comprising: a processor configured to determine indexes of one or more resource element groups in which the PHICH is transmitted, decode the PHICH mapped to the one or more OFDM symbols according to the determined indexes, and receive the ACK/NACK through the mapped PHICH, wherein the indexes are determined according to ratio n′.sub.l′i/n′.sub.0 or ratio n′.sub.l′i/n′.sub.1 in an OFDM symbol with index l′.sub.i, wherein n′.sub.l′i is the number of available resource element groups in the OFDM symbol with index l′.sub.i, wherein n′.sub.0 is the number of available resource element groups in an OFDM symbol with index 0 in a sub-frame, wherein n′.sub.1 is the number of available resource element groups in an OFDM symbol with index 1 in the sub-frame, and wherein the number of available resource element groups in a specific OFDM symbol is defined as the number of resource element groups to which a physical control format indicator channel (PCFICH) is not allocated among a total resource element groups in the specific OFDM symbol.

14. The mobile station of claim 13, wherein when the PHICH is mapped to two OFDM symbols in the sub-frame, the OFDM symbol index l′.sub.i is defined as (.sup.└m′/2.sup.┘+i+1)mod 2, where i denotes an integer of 0 to 2 and m′ denotes an index related to a PHICH group in which the PHICH is included.

15. The mobile station of claim 13, wherein when the PHICH is mapped to one OFDM symbol in the sub-frame, the OFDM symbol index l′.sub.i is defined as 0, where i denotes an integer of 0 to 2.

16. The mobile station of claim 13, wherein the PHICH is transmitted in units of a PHICH group including a plurality of PHICHs, and wherein each of the resource element groups consists of two or four resource elements.

17. The mobile station of claim 13, wherein when the PHICH is mapped to one or three OFDM symbols in the sub-frame, the indexes of the resource element groups in which the PHICH is repeatedly transmitted three times are determined using the following equation: ${\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^1}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^1}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}$ where N.sub.ID.sup.cell denotes a cell ID, i denotes an index of the repetition of the PHICH, and m′ denotes an index related to a PHICH group in which the PHICH is included.

18. The mobile station of claim 13, wherein when the PHICH is mapped to two OFDM symbols in the sub-frame, the indexes of the resource element groups in which the PHICH is repeatedly transmitted three times are determined using the following equation: ${\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}$ where N.sub.ID.sup.cell denotes a cell ID, i denotes an index of the repetition of the PHICH, and m′ denotes an index related to a PHICH group in which the PHICH is included.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) The accompanying drawings, which are included to provide a further understanding of the invention, illustrate embodiments of the invention and together with the description serve to explain the principle of the invention.

(2) In the drawings:

(3) FIG. 1 illustrates an example of a conventional PHICH mapping method;

(4) FIGS. 2 and 3 illustrate resource element groups to which a PHICH is mapped;

(5) FIGS. 4 and 5 illustrate examples of mapping a PHICH when a spreading factor is 4;

(6) FIGS. 6 and 7 illustrate examples of mapping a PHICH when a spreading factor is 2;

(7) FIGS. 8 to 10 illustrate examples of repetitive mapping of a PHICH applied to the present invention; and

(8) FIG. 11 illustrates an example of a PHICH mapping method according to an exemplary embodiment of the present invention.

DETAILED DESCRIPTION OF THE INVENTION

(9) Reference will now be made in detail to the exemplary embodiments of the present invention, examples of which are illustrated in the accompanying drawings. The detailed description, which will be given below with reference to the accompanying drawings, is intended to explain exemplary embodiments of the present invention, rather than to show the only embodiments that can be implemented according to the invention.

(10) When transmitting data through downlink of an OFDM wireless packet communication system, a channel transmitting ACK/NACK signals may be referred to as a physical hybrid ARQ indicator channel (PHICH).

(11) In a 3.sup.rd generation partnership project (3GPP) long term evolution (LTE) system, the PHICH is repeatedly transmitted three times in order to obtain diversity gain. Through how many OFDM symbols the PHICH is transmitted is determined depending on information transmitted through a primary broadcast channel (PBCH) and on whether or not a subframe is for multicast broadcast over single frequency network (MBSFN). If the PHICH is transmitted through one OFDM symbol, the PHICH repeating three times should be evenly distributed over a frequency bandwidth of one OFDM symbol. If the PHICH is transmitted through three OFDM symbols, each repetition is mapped to a corresponding OFDM symbol.

(12) FIGS. 2 and 3 illustrate resource element groups (REGs) to which the PHICH is mapped.

(13) Each REG is comprised of four resource elements. Since a first OFDM symbol includes reference signals RS0 and RS1, locations except for the reference signal locations are available for the resource elements. In FIG. 3, even a second OFDM symbol includes reference signals RS2 and RS3.

(14) FIGS. 4 and 5 illustrate examples of mapping a PHICH when a spreading factor (SF) is 4. When an SF is 4, one repetition of one PHICH group is mapped to one REG.

(15) In FIGS. 4 and 5, precoding for transmit diversity is applied. A.sub.11, A.sub.21, A.sub.31, and A.sub.41 denote resource elements of an REG constituting a specific PHICH. C.sub.1, C.sub.2, C.sub.3, and C.sub.4 denote resource elements of an REG for PCHICH or a physical downlink control channel (PDCCH). FIGS. 4 and 5 correspond to the cases where the number of antennas is 1 and 2, respectively, when reference signals are not considered.

(16) FIGS. 6 and 7 illustrate examples of mapping a PHICH when an SF is 2. When an SF is 2, one repetition of two PHICH groups is mapped to one REG.

(17) Precoding for transmit diversity is applied to FIGS. 6 and 7. FIGS. 6 and 7 correspond to the cases where the number of antennas is 1 and 2, respectively, when reference signals are not considered.

(18) In actual implementation as illustrated in FIGS. 2 and 3, it should be considered that the number of available REGs in an OFDM symbol including reference signals is not equal to the number of available REGs in an OFDM symbol which does not include reference signals.

(19) Meanwhile, if a sequence for mapping the PHICH is denoted as y.sup.(p)(0),K,y.sup.(p)(M.sub.symb−1), then {dot over (y)}.sup.(p)(n) satisfies {dot over (y)}.sup.(p)(n)=Σy.sub.i.sup.(p)(n), which indicates the sum of all PHICHs in one PHICH group (n) denotes an i-th PHICH in a specific PHICH group. In this case, z.sup.(p)(i)=y.sup.(p)(4i),y.sup.(p)(4i+1),y.sup.(p)(4i+2),y.sup.(p)(4i+3) (where i=0, 1, 2) denotes a symbol quadruplet for an antenna port p.

(20) An index of a PHICH group has m′=0 as an initial value. A symbol quadruplet z.sup.(p)(i) at m′ is mapped to an REG of (k′,l′).sub.i (where l.sub.i′ is an index of an OFDM symbol in which i-th repetition of a PHICH group is transmitted, and k.sub.i′ is an index of a frequency domain).

(21) When a PHICH is transmitted through two OFDM symbols, the PHICH is repeated twice upon a first OFDM symbol and repeated once upon a second OFDM symbol according to a transmitted PHICH group. Conversely, the PHICH may be repeated once upon the first OFDM symbol and repeated twice upon the second OFDM symbol. This may be expressed by the following Equation 1.

(22) $\begin{array}{cc}{l}_i^{\prime }=\{\begin{array}{cc}0& \mathrm{normal}\mathrm{PHICH}\mathrm{duration}\\ ,& \mathrm{all}\mathrm{subframes}\\ i& \mathrm{extended}\mathrm{PHICH}\mathrm{duration}\\ ,& \mathrm{non}\text{-}\mathrm{MBSFN}\mathrm{subframes}\\ \left(.Math.m^{\prime }/2.Math.+i+1\right)\mathrm{mod}2& \mathrm{extended}\mathrm{PHICH}\mathrm{duration}\\ ,& \mathrm{MBSFN}\mathrm{subframes}\end{array}& \left[\mathrm{Equation}1\right]\end{array}$

(23) In Equation 1, l.sub.i′ denotes an index of an OFDM symbol in which i-th repetition of a PHICH group is transmitted, m′ denotes an index of a PHICH group, and i denotes the number of repetitions of a PHICH. When the PHICH is repeated three times, i has values of 0, 1, and 2.

(24) FIGS. 8 to 10 illustratively show Equation 1.

(25) FIGS. 8 and 9 show the cases where l.sub.i′=0 and l.sub.i′=(└m/2┘+i+1)mod 2, respectively. FIG. 10 shows the case where l.sub.i′=1 and a PHICH group is repeated at a PHICH duration of 3.

(26) A PHICH, which is an important channel for transmitting ACK/NACK signals indicating whether or not data has been received, should be transmitted as stably as possible. Further, since ACK/NACK signals should be transmitted to a user even in a cell edge, substantial power is used compared with other channels. If locations for transmitting the PHICHs in respective cells are the same, PHICH transmission performance may be deteriorated due to interference caused by transmission of the PHICH between neighbor cells. Accordingly, if transmission locations of the PHICH in respective cells differ, interference caused by transmission of the PHICH between neighbor cells is reduced. Consequently, PHICH transmission performance can be improved. Namely, if mapping locations of the PHICH are determined according to cell IDs, the above-described problem can be solved. The PHICH is repeatedly transmitted three times to obtain diversity gain. To increase the diversity gain, each repetition should be evenly distributed over an entire frequency bandwidth.

(27) To satisfy the above conditions, a PHICH group is transmitted in units of an REG consisting of 4 resource elements. The location of a transmission start REG of the PHICH is designated according to a cell ID and each repetition of the PHICH is arranged at an interval of a value obtained by dividing the number of REGs which can be transmitted by 3 based on the transmission start REG. However, when such a repetition of the PHICH is distributed over a plurality of OFDM symbols, the number of REGs which can be used for PHICH transmission in each OFDM symbol differs. That is because, in the first OFDM symbol, a physical control format indicator channel (PCFICH) for transmitting information including the number of OFDM symbols used for a control channel is transmitted, and because reference signals transmitted in the first and second OFDM symbols differ according to the number of transmit antennas. When the PHICH is transmitted through multiple OFDM symbols including different REGs, since the number of REGs in each OFDM symbol differs, repetitions of each PHICH are not evenly dispersed over an entire frequency bandwidth. The location of the first REG should be designated according to a cell ID and a repetitive pattern should be allocated at regular intervals based on an index of the first REG However, since resolution of a frequency location depending on the index differs according to the number of REGs in each OFDM symbol, there exists a defect that a reference location is changed.

(28) Therefore, when the PHICH is transmitted through multiple OFDM symbols, if the start location according to the cell ID is determined in consideration of a ratio of REGs of the first start symbol to REGs of the other symbols, the above problem can be solved. When the PHICH is transmitted through one or three OFDM symbols, the location of the first start symbol is always the first OFDM symbol. However, when the PHICH is transmitted through two OFDM symbols, the first PHICH group is started from the second OFDM symbol. Accordingly, if the ratio of REGs is considered, a reference symbol should be changed.

(29) The above description may be expressed by the following equation 2.

(30) $\begin{array}{cc}{\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_0^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}& \left[\mathrm{Equation}2\right]\end{array}$

(31) In Equation 2, n.sub.i, denotes an index of an REG in which a repetitive pattern.sub.0 of each PHICH is transmitted, N.sub.ID.sup.cell denotes a cell ID, n.sub.l.sub.i.sub.′′ denotes the number of REGs which can be used for PHICH transmission in an OFDM symbol l′.sub.i, n′.sub.l′.sub.i/n′.sub.0 denotes a ratio between the number of available resource element groups in an OFDM symbol l.sub.i′, and the number of available resource element groups in a first OFDM symbol and is a parameter for solving a problem caused by the different number of REGs between symbols, and m′ denotes an index of a PHICH group as indicated in Equation 1. m′ is desirably increased by 1.

(32) FIG. 11 illustrates an example of a PHICH mapping method according to an exemplary embodiment of the present invention. As illustrated in FIG. 11, PHICH resource collision can be avoided based on cell planning.

(33) If the PHICH is mapped from the second OFDM symbol, n′.sub.l′.sub.i/n′.sub.0 is changed to n′.sub.l′.sub.i/n′.sub.1. This may be expressed by the following Equation 3.

(34) ${\stackrel{\_}{n}}_i=\{\begin{array}{cc}\left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=0\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=1\\ \left(.Math.\left(N_{\mathrm{ID}}^{\mathrm{cell}}.Math.n_{l_i^{\prime }}^{\prime }\text{/}{n}_1^{\prime }\right).Math.+m^{\prime }+.Math.2n_{l_i^{\prime }}^{\prime }\text{/}3.Math.\right)\mathrm{mod}{n}_{l_i^{\prime }}^{\prime }& i=2\end{array}$

(35) In Equation 3, N.sub.ID.sup.cell denotes a cell ID, i denotes an index of a repetitive pattern, n.sub.l′.sub.i/n′.sub.1 denotes a ratio between the number of available resource element groups in an OFDM symbol l′.sub.i and the number of available resource element groups in a second OFDM symbol, and m′ denotes an index of a PHICH group. As in Equation 2, m′ is desirably increased by 1.

(36) Meanwhile, the location of the first PHICH group is allocated and then the other PHICH groups may be mapped successively after the first PHICH group.

(37) It will be apparent to those skilled in the art that various modifications and variations can be made in the present invention without departing from the spirit or scope of the invention. Thus, it is intended that the present invention cover the modifications and variations of this invention provided they come within the scope of the appended claims and their equivalents.

(38) The present invention provides a mapping method for frequency and OFDM symbol regions of a signal transmitted on downlink in a cellular OFDM wireless packet communication system and may be applied to a 3 GPP LTE system, etc.