Time domain energy interleaving transmission method based on extended weighted fractional Fourier transform
A technology of fractional Fourier transform and time-domain energy, which is applied in the direction of digital transmission system, transmission system, forward error control, etc., can solve problems such as error performance, and achieve performance, energy loss reduction, and enhanced reliability.
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specific Embodiment approach 1
[0036] Specific implementation mode one: as figure 1 shown. A time-domain energy interleaving transmission method based on extended weighted fractional Fourier transform described in this embodiment, the method specifically includes the following steps:
[0037] Step 1. Perform baseband constellation mapping on the 0 and 1 bit data generated by the information source, and obtain the modulation result after constellation mapping;
[0038] Step 2. Group the modulation results obtained in step 1: starting from the first bit of the modulation result, divide the modulation result into M data blocks of equal length, and the length of each data block is 2 N , N is a positive integer, and each data block corresponds to a frame of data, where: the i'th frame data is expressed as X i′ , i'=1,2,3,...,M, M is the total number of data blocks;
[0039]Each frame data X i′ It can be expressed as x 1 、x 2 and Respectively X i′ 1st, 2nd and 2nd in N data;
[0040] Step 3: Perform ...
specific Embodiment approach 2
[0051] Specific implementation mode two: as figure 2 shown. The difference between this embodiment and the specific embodiment 1 is that in the step 3, time-domain energy interleaving is performed on each frame of data obtained in step 2, and an output signal X obtained by time-domain energy interleaving of each frame of data is obtained i′1 , X i′1 is the i′th frame data X i′ The output signal obtained through time-domain energy interleaving, the specific process is:
[0052] Step 31, performing intra-frame data grouping on each frame of data obtained in step 2;
[0053] For the i'th frame data X i′ , to x i′ Intra-frame data grouping, each group 2 1 bit, divided into 2 N-1 Group;
[0054] Express each group of data after grouping as k=1,3,5,...,2 N -1, where: is the first data in the group, It is the second data in the group;
[0055] Step 32. Data Carry out trailing zero padding to get the data after zero padding to data Carry out front zero padding...
specific Embodiment approach 3
[0065] Specific embodiment three: the difference between this embodiment and specific embodiment two is: in the step three and two, the data and Perform extended weighted fractional Fourier transform, the specific process is:
[0066]
[0067]
[0068] In the formula, X 2 for the inversion vector of X 2 'for The inverse vector of , ω 0 and ω 2 are weighting coefficients;
[0069] ω 0 and ω 2 The specific expression form is:
[0070]
[0071] Among them, θ 0 ,θ 1 ∈[0,2π) is the transformation parameter, i is the imaginary unit, and e is the natural logarithm.
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