A directional modulation method and system based on extended weighted fractional Fourier transform
A technology of fractional Fourier transform and directional modulation, applied in secure communication, electrical components, etc., can solve problems such as interception by eavesdroppers, large communication area, etc., achieve safe transmission, realize safety performance, and reduce the probability of intercepting signals Effect
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specific Embodiment approach 1
[0032] Specific implementation mode 1. Combination figure 1 and figure 2 This embodiment will be described. The directional modulation method based on the extended weighted fractional Fourier transform described in this embodiment specifically includes the following steps:
[0033] 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;
[0034] Step 2: Perform multi-component generation on the modulated signal X obtained in step 1 by expanding the weighted fractional Fourier transform to obtain four serial digital signals F. l 0 , F l 0 Represents the obtained serial digital signal of No. 1, l=0, 1, 2, 3;
[0035]
[0036] In the formula, X l is the result of performing l-time Fourier transform on the signal X, i is an imaginary unit, Transform parameters generated for the extended weighted fractional Fourier transform multi-component, k = 0, 1, 2, 3,
[00...
specific Embodiment approach 2
[0057] Embodiment 2: The difference between this embodiment and Embodiment 1 is that in step 6, the four channels of analog modulation signals obtained in step 5 are respectively Perform up-conversion processing to obtain four-channel signals after up-conversion processing; the specific process is as follows:
[0058]
[0059] In the formula, Represents the first signal after up-conversion processing, f c is the carrier modulation center frequency, t is the timing mark, Re[ ] represents the real part, and e represents the base of the natural logarithm.
specific Embodiment approach 3
[0060] Embodiment 3: The difference between this embodiment and Embodiment 2 is that in step 7, the receiving end receives the signal through a single antenna, and the form of the signal received by the receiving end is:
[0061]
[0062] In the formula, Y R1 is the signal received by the receiver, H l is the channel state information matrix of the channel 1 signal after up-conversion processing, N T is random noise.
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