Sequence generating method for efficient detection and method for transmitting and receiving signals using the same
A method of communicating signals between a transmitter and a receiver in a mobile communication system, and the transmitter and the receiver for the same are disclosed. According to one embodiment, a method of transmitting signals by a transmitter in a mobile communication system includes: mapping, by the transmitter, a sequence generated by using a Zadoff-Chu sequence having a root index to frequency domain indexes; and transmitting, by the transmitter, the mapped sequence. The root index is selected from a predetermined index set consisting of three indexes. The three indexes include a first index and a second index. A sum of the first index and the second index corresponds to a length of the Zadoff-Chu sequence.
1. A method of transmitting signals by a transmitter in a mobile communication system, the method comprising:
mapping, by the transmitter, a sequence generated by using a Zadoff-Chu sequence having a root index to frequency domain indexes, wherein the root index is selected from a predetermined index set consisting of three indexes, wherein the three indexes comprise a first index and a second index, and wherein a sum of the first index and the second index corresponds to a length of the Zadoff-Chu sequence; and
transmitting, by the transmitter, the mapped sequence.
2. The method of claim 1 , wherein:
the length of the Zadoff-Chu sequence is an odd number; and
the sequence is generated by using the Zadoff-Chu sequence based on the equation
exp
(
-
ⅈ
M
π
n
(
n
+
1
)
N
)
,
wherein N denotes the length of the Zadoff-Chu sequence, M denotes the root index of the Zadoff-Chu sequence, and n denotes an index of each constituent component of the sequence generated by using the Zadoff-Chu sequence.
3. The method of claim 2 , wherein:
N is equal to 63;
the first index corresponds to a root index of 34; and
the second index corresponds to a root index of 29.
4. The method of claim 3 , wherein the three indexes further comprise a third index corresponding to a root index of 25.
5. The method of claim 1 , further comprising using the sequence generated by using the Zadoff-Chu sequence as a primary synchronous channel (P-SCH) transmission sequence.
6. A method of detecting a sequence used in a signal by a receiver in a mobile communication system, the method comprising:
receiving, by the receiver, the signal; and
detecting, by the receiver, the sequence used in the received signal,
wherein the sequence used in the received signal is generated by using a Zadoff-Chu sequence having a root index selected from a predetermined index set consisting of three indexes,
wherein the three indexes comprise a first index and a second index, and
wherein a sum of the first index and the second index corresponds to a length of the Zadoff-Chu sequence.
7. The method of claim 6 , wherein:
the length of the Zadoff-Chu sequence is an odd number; and
the sequence is generated by using the Zadoff-Chu sequence based on the equation
exp
(
-
ⅈ
M
π
n
(
n
+
1
)
N
)
,
wherein N denotes the length of the Zadoff-Chu sequence, M denotes the root index of the Zadoff-Chu sequence, and n denotes an index of each constituent component of the sequence used in the received signal.
8. The method of claim 7 , wherein:
N is equal to 63;
the first index corresponds to a root index of 34; and
the second index corresponds to a root index of 29.
9. The method of claim 8 , wherein the three indexes further comprise a third index corresponding to a root index of 25.
10. The method of claim 6 , further comprising performing synchronization with a transmitter of the signal based on the detected sequence.
11. A transmitter for transmitting a signal in a mobile communication system using orthogonal frequency division multiplexing (OFDM), the transmitter comprising:
a mapping module for mapping a sequence generated by using a Zadoff-Chu sequence having a root index to frequency domain indexes, wherein the root index is selected from a predetermined index set consisting of three indexes, wherein the three indexes comprise a first index and a second index, and wherein a sum of the first index and the second index corresponds to a length of the Zadoff-Chu sequence;
an Inverse Fast Fourier Transform (IFFT) module for generating a time-domain transmission signal from the mapped sequence; and
a radio frequency (RF) module for transmitting the time-domain transmission signal.
12. The transmitter of claim 11 , wherein:
the length of the Zadoff-Chu sequence is an odd number; and
the sequence is generated by using the Zadoff-Chu sequence based on the equation
exp
(
-
ⅈ
M
π
n
(
n
+
1
)
N
)
,
wherein N denotes the length of the Zadoff-Chu sequence, M denotes the root index of the Zadoff-Chu sequence, and n denotes an index of each constituent component of the sequence.
13. The transmitter of claim 12 , wherein:
N is equal to 63;
the first index corresponds to a root index of 34; and
the second index corresponds to a root index of 29.
14. The transmitter of claim 13 , wherein the three indexes further comprise a third index corresponding to a root index of 25.
15. A receiver for detecting a sequence used in a signal in a mobile communication system using orthogonal frequency division multiplexing (OFDM), the receiver comprising:
a radio frequency module for receiving the signal; and
an index demapper for detecting the sequence used in the received signal,
wherein the sequence used in the received signal is generated by using a Zadoff-Chu sequence having a root index selected from a predetermined index set consisting of three indexes, wherein the three indexes comprise a first index and a second index, and wherein a sum of the first index and the second index corresponds to a length of the Zadoff-Chu sequence.
16. The receiver of claim 15 , wherein:
the length of the Zadoff-Chu sequence is an odd number; and
the sequence is generated by using the Zadoff-Chu sequence based on the equation
exp
(
-
i
M
π
n
(
n
+
1
)
N
)
,
wherein N denotes the length of the Zadoff-Chu sequence, M denotes the root index of the Zadoff-Chu sequence, and n denotes an index of each constituent component of the sequence used in the received signal.
17. The receiver of claim 16 , wherein:
N is equal to 63;
the first index corresponds to a root index of 34; and
the second index corresponds to a root index of 29.
18. The receiver of claim 17 , wherein the three indexes further comprise a third index corresponding to a root index of 25.