Channel estimation method and apparatus in orthogonal frequency division multiplexing system
Disclosed is a channel estimation method and apparatus in an OFDM system. The method includes performing channel estimation at a pilot position of a received symbol, thereby calculating a first channel estimate, performing diagonal interpolation between the first channel estimate and a channel estimate for another pilot position that is different from the first pilot position, thereby calculating a second channel estimate for a data position, performing time interpolation between the second channel estimate and a channel estimate for another pilot position that is identical to the second pilot position, thereby calculating a third channel estimate for another data position, and performing frequency interpolation by using the channel estimates for the pilot positions and the second and third channel estimates, thereby calculating channel estimates for remaining data positions.
1. A channel estimation method using pilots in an Orthogonal Frequency Division Multiplexing (OFDM) system, the channel estimation method comprising:
receiving a symbol at an OFDM receiver;
performing a first channel estimation at a pilot position of the received symbol, thereby calculating a first channel estimate;
performing interpolation in a diagonal direction exclusively between the first channel estimate and a channel estimate for another pilot position that is different from the pilot position of the first channel estimate when viewed in directions of time and frequency axes, thereby calculating a second channel estimate for a data position, wherein the data position of the second channel estimate differs from both the pilot position of the first channel estimate, and the another pilot position, when viewed in directions of time and frequency axes;
performing interpolation in the direction of the time axis between the second channel estimate and a channel estimate for another pilot position that is identical to the pilot position of the second channel estimate when viewed in the direction of the time axis, thereby calculating a third channel estimate for another data position; and
performing interpolation in the direction of the frequency axis by using the channel estimates for the pilot positions and the second and third channel estimates, thereby calculating channel estimates for remaining data positions.
2. The channel estimation method as claimed in claim 1 , wherein the second channel estimate is calculated by a following equation,
H n−1,k+3 =( H n,k +H n−2,k+6 )/2
where, n denotes an index of the received symbol, k denotes a sub-carrier index for the pilot position of the received symbol, and H denotes a channel estimate.
3. The channel estimation method as claimed in claim 2 , wherein the third channel estimate is calculated by a following equation,
H n−2,k+3 =( H n−1,k+3 +H n−3,k+3 )/2.
4. The channel estimation method as claimed in claim 1 , wherein the OFDM system includes at least one of a Digital Multimedia Broadcasting-Terrestrial (DVB-T) system and a Digital Multimedia Broadcasting-Handheld (DVB-H) system.
5. The channel estimation method as claimed in claim 1 , wherein the pilot position is determined on a frequency-time plane by at least one of a comb-type pilot arrangement scheme and a lattice-type pilot arrangement scheme.
6. A channel estimation apparatus using pilots in an Orthogonal Frequency Division Multiplexing (OFDM) system, the channel estimation apparatus comprising:
a pilot channel estimator for calculating channel estimates by performing channel estimation at pilot positions of a received symbol;
a two-dimensional interpolator for performing interpolation in a diagonal direction exclusively between a first channel estimate and a channel estimate for another pilot position that is different from the pilot position of the first channel estimate when viewed from directions of time and frequency axes, among the channel estimates, thereby calculating a second channel estimate for a data position, and performing interpolation in the direction of the time axis between the second channel estimate and a channel estimate for another pilot position that is identical to the pilot position of the second channel estimate when viewed in the direction of the time axis, among the channel estimates, thereby calculating a third channel estimate for another data position;
a one-dimensional interpolator for performing interpolation in the direction of the frequency axis by using the channel estimates and the second and third channel estimates, thereby calculating channel estimates for remaining data positions;
an output buffer for storing the received symbol; and
a channel estimation buffer for storing the first and second channel estimates.
7. The channel estimation apparatus as claimed in claim 6 , wherein the second channel estimate is calculated by a following equation,
H n−1,k+3 =( H n,k +H n−2,k+6 )/2
where, n denotes an index of the received symbol, k denotes a sub-carrier index for the pilot position of the received symbol, and H denotes a channel estimate.
8. The channel estimation apparatus as claimed in claim 7 , wherein the third channel estimate is calculated in a following equation,
H n−2,k+3 =( H n−1,k+3 +H n−3,k+3 )/2.
9. The channel estimation apparatus as claimed in claim 6 , wherein the output buffer stores at least 3 symbols including all sub-carriers.
10. The channel estimation apparatus as claimed in claim 6 , wherein the channel estimation buffer stores at least 3 symbols including ⅓ of all sub-carriers.
11. The channel estimation apparatus as claimed in claim 6 , wherein the OFDM system includes at least one of a Digital Multimedia Broadcasting-Terrestrial (DVB-T) system and a Digital Multimedia Broadcasting-Handheld (DVB-H) system.
12. The channel estimation apparatus as claimed in claim 6 , wherein the pilot position is determined on a frequency-time plane by at least one of a comb-type pilot arrangement scheme and a lattice-type pilot arrangement scheme.
13. A channel estimation apparatus using pilots in an Orthogonal Frequency Division Multiplexing (OFDM) system, the channel estimation apparatus comprising:
means for calculating channel estimates by performing channel estimation at pilot positions of a received symbol;
means for performing interpolation in a diagonal direction between a first channel estimate and a channel estimate for another pilot position that is different from the pilot position of the first channel estimate when viewed from directions of time and frequency axes, among the channel estimates, thereby calculating a second channel estimate for a data position, wherein the data position of the second channel estimate differs from both the pilot position of the first channel estimate, and the another pilot position, when viewed from directions of time and frequency axes;
means for performing interpolation in the direction of the time axis between the second channel estimate and a channel estimate for another pilot position that is identical to the pilot position of the second channel estimate when viewed in the direction of the time axis, among the channel estimates, thereby calculating a third channel estimate for another data position;
means for performing interpolation in the direction of the frequency axis by using the channel estimates and the second and third channel estimates, thereby calculating channel estimates for remaining data positions;
means for storing the received symbol; and
means for storing the first and second channel estimates.
14. The channel estimation apparatus as claimed in claim 13 , wherein the second channel estimate is calculated by a following equation,
H n−1,k+3 =( H n,k +H n−2,k+6 )/2
where, n denotes an index of the received symbol, k denotes a sub-carrier index for the pilot position of the received symbol, and H denotes a channel estimate.
15. The channel estimation apparatus as claimed in claim 14 , wherein the third channel estimate is calculated in a following equation,
H n−2,k+3 =( H n−1,k+3 +H n−3,k+3 )/2.
16. The channel estimation apparatus as claimed in claim 13 , wherein the means for storing the received symbols stores at least 3 symbols including all sub-carriers.
17. The channel estimation apparatus as claimed in claim 13 , wherein the means for storing the first and second channel estimates stores at least 3 symbols including ⅓ of all sub-carriers.
18. The channel estimation apparatus as claimed in claim 13 , wherein the OFDM system includes at least one of a Digital Multimedia Broadcasting-Terrestrial (DVB-T) system and a Digital Multimedia Broadcasting-Handheld (DVB-H) system.
19. The channel estimation apparatus as claimed in claim 13 , further comprising means for determining a pilot position on a frequency-time plane by at least one of a comb-type pilot arrangement scheme and a lattice-type pilot arrangement scheme.
20. A computer program product stored on a tangible non-transitory computer readable medium for performing channel estimation using pilots in an Orthogonal Frequency Division Multiplexing (OFDM) system, the computer program product comprising:
a non-transitory processor-readable storage medium having instructions stored thereon, the instructions comprising:
at least one instruction for calculating channel estimates by performing channel estimation at pilot positions of a received symbol;
at least one instruction for performing interpolation in a diagonal direction exclusively between a first channel estimate and a channel estimate for another pilot position that is different from the pilot position of the first channel estimate when viewed from directions of time and frequency axes, among the channel estimates, thereby calculating a second channel estimate for a data position, and performing interpolation in the direction of the time axis between the second channel estimate and a channel estimate for another pilot position that is identical to the pilot position of the second channel estimate when viewed in the direction of the time axis, among the channel estimates, thereby calculating a third channel estimate for another data position;
at least one instruction for performing interpolation in the direction of the frequency axis by using the channel estimates and the second and third channel estimates, thereby calculating channel estimates for remaining data positions;
at least one instruction for storing the received symbol; and
at least one instruction for storing the first and second channel estimates.
21. The computer program product as claimed in claim 20 , wherein the second channel estimate is calculated by a following equation,
H n−1,k+3 =( H n,k +H n−2,k+6 )/2
where, n denotes an index of the received symbol, k denotes a sub-carrier index for the pilot position of the received symbol, and H denotes a channel estimate.
22. The computer program product as claimed in claim 21 , wherein the third channel estimate is calculated in a following equation,
H n−2,k+3 =( H n−1,k+3 +H n−3,k+3 )/2.
23. The computer program product as claimed in claim 20 , wherein the at least one instruction for storing the received symbols comprises at least one instruction for storing at least 3 symbols including all sub-carriers.
24. The computer program product as claimed in claim 20 , wherein the at least one instruction for storing the first and second channel estimates comprises at least one instruction for storing at least 3 symbols including ⅓ of all sub-carriers.
25. The computer program product as claimed in claim 20 , wherein the OFDM system includes at least one of a Digital Multimedia Broadcasting-Terrestrial (DVB-T) system and a Digital Multimedia Broadcasting-Handheld (DVB-H) system.
26. The computer program product as claimed in claim 20 , further comprising at least one instruction for determining a pilot position on a frequency-time plane by at least one of a comb-type pilot arrangement scheme and a lattice-type pilot arrangement scheme.