Method and apparatus for transmitting or detecting a primary synchronization signal
A method and apparatus for transmitting or detecting primary synchronization signal. The receiver receives primary synchronization signal from a transmitter, and detects the sequence used in the received primary synchronization signal by using three root indexes. Here, the primary synchronization signal is generated by using a Zadoff-Chu sequence having one of the three root indexes. The three root indexes comprise a first index and a second index, and a sum of the first index and the second index corresponds to the length of the Zadoff-Chu sequence.
1. A system, comprising:
a receiver that receives a radio signal; and
a processor that detects, in the radio signal, a sequence that is based on a Zadoff-Chu sequence, a first portion of the sequence being mapped on a frequency domain before a Direct Current (DC) frequency, and a second portion of the sequence being mapped on the frequency domain after the DC frequency, wherein the sequence satisfies a conjugate symmetry property.
2. The system of claim 1 , wherein the Zadoff-Chu sequence has an odd number length.
3. The system of claim 2 , wherein the odd number length is 63.
4. The system of claim 1 , wherein the sequence has an even number length.
5. The system of claim 4 , wherein the even number length is 62.
6. The system of claim 1 , wherein the radio signal is a primary synchronization signal.
7. The system of claim 1 , wherein the sequence is based on a following equation:
exp
(
-
i
M
π
n
(
n
+
1
)
N
)
,
wherein “N” is a length of the Zadoff-Chu sequence, “M” is a root index of the Zadoff-Chu sequence, and “n” is an index of each of constituent components of the sequence.
8. The system of claim 7 , wherein a first 31 constituent components of the sequence are continuously mapped to frequency resource elements having indices in a range of “−31” to “−1”.
9. The system of claim 8 , wherein a last 31 constituent components of the sequence are continuously mapped to frequency resource elements having indices in a range of “1” to “31”.
10. A computer-implemented method, comprising:
receiving, by a device operatively coupled to a processor, a radio signal; and
detecting in the radio signal, by the device, a sequence that is based on a Zadoff-Chu sequence, a first portion of the sequence being mapped on a frequency domain before a Direct Current (DC) frequency, and a second portion of the sequence being mapped on the frequency domain after the DC frequency, wherein the sequence satisfies a conjugate symmetry property.
11. The computer-implemented method of claim 10 , wherein the Zadoff-Chu sequence has an odd number length.
12. The computer-implemented method of claim 11 , wherein the odd number length is 63.
13. The computer-implemented method of claim 10 , wherein the sequence has an even number length.
14. The computer-implemented method of claim 13 , wherein the even number length is 62.
15. The computer-implemented method of claim 10 , wherein the radio signal is a primary synchronization signal.
16. The computer-implemented method of claim 10 , wherein the sequence is based on a following equation:
exp
(
-
i
M
π
n
(
n
+
1
)
N
)
,
wherein “N” is a length of the Zadoff-Chu sequence, “M” is a root index of the Zadoff-Chu sequence, and “n” is an index of each of constituent components of the sequence.
17. The computer-implemented method of claim 16 , wherein a first 31 constituent components of the sequence are continuously mapped to frequency resource elements having indices in a range of “−31” to “−1”.
18. The computer-implemented method of claim 17 , wherein a last 31 constituent components of the sequence are continuously mapped to frequency resource elements having indices in a range of “1” to “31”.
19. A device, comprising:
a processor that generates a sequence based on a Zadoff-Chu sequence by mapping a first portion of the sequence on a frequency domain before a Direct Current (DC) frequency and mapping a second portion of the sequence on the frequency domain after the DC frequency, wherein the sequence satisfies a conjugate symmetry property; and
a transmitter that transmits a radio signal containing the sequence.
20. The device of claim 19 , wherein the Zadoff-Chu sequence has an odd number length and the sequence has an even number length.