A Detection-Resistant Transmission Method Based on Extended Weighted Fractional Fourier Transform
A technology of fractional Fourier transform and transmission method, which is applied in the field of anti-detection transmission based on extended weighted fractional Fourier transform, can solve problems such as poor performance, achieve anti-scanning ability improvement, realize safety performance, and good parameter sensitivity Effect
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specific Embodiment approach 1
[0042] Embodiment 1: Combining figure 1 This embodiment will be described. An anti-detection transmission method based on extended weighted fractional Fourier transform described in this embodiment, the method specifically includes the following steps:
[0043] Step 1: Perform baseband constellation mapping on the 0 and 1 bit data generated by the source to obtain the modulated signal X after the constellation mapping;
[0044] Step 2: Perform M-item extended weighted fractional Fourier transform on the modulated signal X obtained in step 1 to obtain a serial digital signal X T ;
[0045] The specific form of the M-item extended weighted fractional Fourier transform is:
[0046]
[0047] In the formula, Indicates that M-item extended weighted fractional Fourier transform is performed on X, M is the number of weighted items, and M≥4, θ k is the k-th transformation parameter of the positive transformation, X l The lth basis function constructed based on the periodic basi...
specific Embodiment approach 2
[0059] Embodiment 2: The difference between this embodiment and Embodiment 1 is that in the fourth step, the analog modulation signal X obtained in the third step is T0 Perform up-conversion processing to obtain an up-converted signal, where the specific form of the up-converted signal is:
[0060]
[0061] where X T1 is the up-converted signal, f c is the carrier modulation center frequency, t is the timing mark, i is the imaginary unit, Re[ ] represents the real part, and e is the natural logarithm.
[0062] In this embodiment, for the signal X T0 Up-conversion processing refers to: converting the analog modulated signal X T0 Modulate to the corresponding carrier frequency to obtain the data X on the corresponding carrier frequency T1 .
specific Embodiment approach 3
[0063] Embodiment 3: The difference between this embodiment and Embodiment 2 is that in the step 5, the receiving end performs down-conversion processing on the received signal, and the form of the signal received by the receiving end is:
[0064] Y R1 =HX T1 +N T
[0065] where Y R1 is the signal received by the receiver, H is the channel state information matrix, N T is random noise.
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Abstract
Description
Claims
Application Information
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