A Timing Offset Estimation Method Based on Correlation Function Polynomial Approximation
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A technology of polynomial approximation and timing deviation, which is applied in the direction of digital transmission system, synchronization error correction, synchronization signal speed/phase control, etc., and can solve the problem of burst signal frame short
Active Publication Date: 2021-03-02
四川安迪科技实业有限公司
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[0004] 1) The sending time of the burst signal frame is random;
[0005] 2) The burst signal frame is shorter
Therefore, for the timing offset estimation in burst communication, the second problem to be solved is: how to accurately estimate the timing offset parameters under the condition of low signal-to-noise ratio
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example 1
[0117] Example 1: The real relative timing deviation of the sample is τ=-0.4.
[0118] The first step is to determine four 3rd order polynomials
[0119]
[0120] coefficient c m (k). coefficient c m The value of (k) is shown in the following table:
[0122] The second step is to calculate the 5 sampling values around the peak value of the autocorrelation function R(ε) of the known symbol sequence s. In this example, the values of the 5 samples are as follows:
[0123]
[0124] The third step is to calculate the coefficients of the approximation polynomial of a section of the function near the peak value of the autocorrelation function R(ε).
[0125] When the timing deviation is negative, there is
[0126]
[0127] When the timing deviation is non-negative, there is
[0128]
[0129]
[0130]
[0131]
[...
example 2
[0140] Example 2: The real relative timing deviation of the sample is τ=0.4
[0141] The first step is to determine four 3rd order polynomials
[0142]
[0143] coefficient c m (k). coefficient c m The value of (k) is shown in the following table:
[0145] The second step is to calculate the 5 sampling values around the peak value of the autocorrelation function R(ε) of the known symbol sequence s. In this example, the values of the 5 samples are as follows:
[0146]
[0147] The third step is to calculate the coefficients of the approximation polynomial of a section of the function near the peak value of the autocorrelation function R(ε).
[0148] When the timing deviation is negative, there is
[0149]
[0150] When the timing deviation is non-negative, there is
[0151]
[0152] The fourth step is to calculate ...
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Abstract
The invention discloses a timing deviation estimation method based on polynomial approximation of correlation function, which is characterized in that it comprises the following steps: S1 determines the coefficients c of four third-order polynomials m (k); S2 calculates 5 sampling values R[‑2], R[‑1], R[0], R[1] and R near the peak of the autocorrelation function R(ε) of the known symbol sequence s [2]; S3 calculates the coefficient of the approximation polynomial of a section of function near the autocorrelation function R (ε) peak value; S4 utilizes the formula to calculate the estimated value calculation of timing deviation as the optimum estimated value of ε with the arithmetic mean value of sum, easy and convenient, And the estimated performance is close to the modified Kramero bound MCRB, which is suitable for burst communication under the condition of low signal-to-noise ratio.
Description
technical field [0001] The invention relates to the technical field of digital communication, in particular to parameter estimation technology, in particular to a timing deviation estimation method based on correlation function polynomial approximation. Background technique [0002] Symbol synchronization is one of the important functions of all-digital communication receivers, which is responsible for accurately recovering useful data symbols from received signals with timing deviations. The symbol synchronization function is realized through two steps of timing deviation estimation and timing deviation correction. Therefore, the pros and cons of timing offset estimation methods will have a direct impact on the performance of symbol synchronization. [0003] Burst communication usually has the following two characteristics: [0004] 1) The sending time of the burst signal frame is random; [0005] 2) The burst signal frame is short. [0006] Among them, feature 1) leads...
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