System and method for pre-FFT OFDM fine synchronization
View Patent ↗A synchronization unit for performing timing synchronization in the time domain includes storage, a multiplier, a signal analyzer, and a timing error estimation unit. The storage stores a reference signal. The multiplier calculates a sum of minus one product shift and a sum of plus one product shift based on the reference signal. The signal analyzer calculates left and right cross-correlation points based on the sum or minus one product shift and the sum of plus one product shift. The timing error estimation unit estimates a timing error of a received signal based on the left cross-correlation point and right cross-correlation point.
1. A synchronization unit for performing timing synchronization in the time domain, the synchronization unit comprises:
storage for digitally storing at least a reference signal;
a multiplier, coupled to the storage, capable of calculating a sum of minus one product shift and a sum of plus one product shift, based on at least said reference signal;
a signal analyzer capable of calculating left and right cross-correlation points based on said minus one product shift and said sum of plus one product shift; and
a timing error estimation unit capable of estimating the timing error and a phase error of a received signal based on said left cross-correlation point and said right cross-correlation point, wherein the phase error corresponds to an angle of a complex number represented by a zero product shift.
2. The synchronization unit of claim 1 , wherein said storage is at least one of: read only memory (ROM), erasable programmable memory read only memory (EPROM), and Flash memory.
3. The synchronization unit of claim 1 , wherein calculation of said sum of minus one product shift and sum of plus one product shift is performed on a sample of said received signal with respective minus one and plus one reference signals.
4. The synchronization unit of claim 1 , wherein said multiplier is capable of calculating said sum of plus one product shift including:
(a) initializing an index variable and a first summation variable;
(b) sampling said received signal;
(c) obtaining a first reference from said storage;
(d) performing a complex number multiplication of said first reference with said received signal to produce a result, and adding the result to said first summation variable;
(e) comparing said index variable to the number of reference signals in said storage; and
(f) if the comparing produces a predefined result, updating the index variable and repeating said b) through f).
5. The synchronization unit of claim 4 , wherein said received signal is a sampled signal of an orthogonal frequency division multiplexing (OFDM) demodulated signal.
6. The synchronization unit of claim 4 , wherein said first summation variable is initialized to the value zero plus one.
7. The synchronization unit of claim 4 , wherein said first reference contains data identified by the index variable.
8. The synchronization unit of claim 4 , wherein said multiplier is capable of calculating said sum of minus one product shift including:
(g) initializing a second summation variable;
(h) obtaining a second reference from said storage;
(i) performing a complex number multiplication of said second reference with said received signal to produce a second result, and adding the second result to said second summation variable;
j) repeating said h) through j) in accordance with said comparison result.
9. The synchronization unit of claim 8 , wherein said received signal is a sampled signal of an orthogonal frequency division multiplexing (OFDM) demodulated signal.
10. The synchronization unit of claim 8 , wherein said second summation variable is initialized to the value zero.
11. The synchronization unit of claim 8 , wherein said second reference contains data identified by the index variable minus one.
12. The synchronization unit of claim 1 , wherein said signal analyzer is capable of calculating said left cross-correlation point by calculating a square magnitude of said sum of minus one product shift.
13. A method for estimating timing error of a received signal, comprising:
calculating a sum of plus one product shift and a sum of minus one product shift;
calculating left and right cross-correlation points, based on said sum of plus one product shift and said sum of minus one product shift; and
estimating said timing error and a phase error based on said left and the right cross-correlation points, wherein the phase error corresponds to an angle of a complex number represented by a zero product shift.
14. The method of claim 13 , wherein calculating said sum of minus one product shift and sum of plus one product shift is performed on a sample of said received signal with respective minus one and plus one reference signals.
15. The method of claim 13 , wherein calculating said sum of plus one product shift includes:
(a) initializing an index variable and a first summation variable;
(b) sampling said received signal;
(c) obtaining a first reference from said storage;
(d) performing a complex number multiplication of said first reference with said received signal to produce a result, and adding the result to said first summation variable;
(e) comparing said index variable to the number of reference signals in said storage; and
(f) if the comparing produces a predefined result, updating the index variable and repeating said b) through f).
16. The method of claim 15 , wherein said received signal is a sampled signal of an orthogonal frequency division multiplexing (OFDM) demodulated signal.
17. The method of claim 15 , wherein said first summation variable is initialized to the value zero plus one.
18. The method of claim 15 , wherein said first reference contains data identified by the index variable.
19. The method of claim 15 , wherein calculating said sum of minus one product shift includes:
(g) initializing a second summation variable;
(h) obtaining a second reference from said storage;
(i) performing a complex number multiplication of said second reference with said received signal to produce a second result, and adding the second result to said second summation variable;
j) repeating said h) through j) in accordance with said comparison result.
20. The method of claim 19 , wherein said received signal is a sampled signal of an orthogonal frequency division multiplexing (OFDM) demodulated signal.
21. The method of claim 19 , wherein said second summation variable is initialized to the value zero.
22. The method of claim 19 , wherein said second reference contains data identified by the index variable minus one.
23. The method of claim 19 , including calculating said left cross-correlation point by calculating a square magnitude of said sum of minus one product shift.