Wavelet transformation-based hybrid carrier modulation method and system
A wavelet transform and hybrid carrier technology, applied in the direction of phase modulation carrier system, baseband system, baseband system components, etc., can solve the problem of ISI being difficult to eliminate, destroy the orthogonality of sub-carriers, etc., and achieve the effect of reducing the impact
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[0043] The principle of mixed carrier modulation based on wavelet transform is as follows:
[0044] For any complex sequence D of length N 0 =[d 0 d 1 ... d N-1 ], its weighted fractional wavelet transform can be defined as:
[0045] n a [D]=W a D (1)
[0046] where the weighting matrix W a for:
[0047] W a =A(a+2)I N +A(a+1)F+A(a)PI N +A(a-1)PF (2)
[0048] In the formula, A(a) is a weighting coefficient, A(a)=cos(aπ / 4)cos(aπ / 2)exp(3ajπ / 4); the value of the modulation parameter a is -2≤a≤-1. I N Is an N*N identity matrix, F is a discrete wavelet transform matrix, P is a permutation matrix, P ij =δ( N ), where the dimension of P is determined by the dimension of the input signal, N is a modulo operation. The expression of P is as follows:
[0049]
[0050] The formula (1) is described by the physical block diagram as figure 1 shown. Input a set of serial data with a length of N, which is divided into 4 branches after serial-to-parallel conversion. The ...
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