US 12,381,666 B2
Method for estimating bit error probability using error rate ratio of frame synchronization word
Seokkwon Kim, Daejeon (KR); Sung Wan Kim, Daejeon (KR); and Keunsu Ma, Daejeon (KR)
Assigned to KOREA AEROSPACE RESEARCH INSTITUTE, Daejeon (KR)
Appl. No. 18/255,555
Filed by KOREA AEROSPACE RESEARCH INSTITUTE, Daejeon (KR)
PCT Filed Oct. 1, 2021, PCT No. PCT/KR2021/013474
§ 371(c)(1), (2) Date Jun. 1, 2023,
PCT Pub. No. WO2022/119092, PCT Pub. Date Jun. 9, 2022.
Claims priority of application No. 10-2020-0168153 (KR), filed on Dec. 4, 2020.
Prior Publication US 2024/0014953 A1, Jan. 11, 2024
Int. Cl. H04L 1/20 (2006.01); H04L 7/04 (2006.01)
CPC H04L 1/203 (2013.01) [H04L 7/048 (2013.01)] 5 Claims
OG exemplary drawing
 
1. A method for estimating a bit error probability using an error rate ratio of a frame synchronization word included in a header of a unit frame generated by a telemetry encoder, the method comprising the steps of:
a) defining error rate ratios ζ0, ζ1, . . . , and ζK−1 of frame synchronization words included in headers of unit frames generated by a telemetry encoder as shown in the following Equation 1:

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where nk denotes a number of frames each having a frame synchronization word in which a number of bit errors is k, and K denotes a bit error allowable tolerance of a frame synchronization word having a length of M bits;
b) setting a cost function ƒ(pe) in a weighted least squares (WLS) form, with weights w0, . . . , and wk−1 greater than or equal to 0, as shown in the following Equation 4, using the error rate ratios of the frame synchronization words defined in the step a):

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where a constant ck is defined by the following Equation 3-2, and γ and a bit error probability pe are defined by the following Equation 3-3,

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c) obtaining a value of γ through the following Equation 5-1, the value of γ minimizing the cost function ƒ(pe) of Equation 4 set in the step b):

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where γ denotes an estimated value of the value of γ; and
d) deriving an estimated bit error probability value custom character corresponding to γ using Equation 3-3 and Equation 5-1 through the following Equation 5-2, and sequentially obtaining the weights w0, . . . , and wk−1 such that a mean squared error of the estimated bit error probability value custom character decreases:

OG Complex Work Unit Math