| CPC H04B 1/713 (2013.01) [H04L 5/0007 (2013.01)] | 7 Claims |
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1. A pattern division multiple access communication system based on optimal frequency-hopping patterns, comprising a transmitter and a receiver, wherein the transmitter modulates an input baseband signal into a modulated signal, and then converts the modulated signal into a frequency-hopping signal that hops in frequency according to an optimal frequency-hopping pattern, the receiver reverts a received frequency-hopping signal to an output modulated signal using an optimal frequency-hopping pattern same as that of the transmitter, and then demodulates the output modulated signal into a baseband signal, where the optimal frequency-hopping patterns are obtained by applying two-dimensional cyclic shift to a Golomb Costas array constructed based on an extension field and thus are optimal frequency-hopping patterns with ideal autocorrelation and cross-correlation properties, wherein the optimal frequency-hopping patterns are obtained by applying the two-dimensional cyclic shift to the Golomb Costas array constructed based on the extension field, which is specifically as follows,
S1. determining the order N of the Golomb Costas array, and constructing the Golomb Costas array based on the extension field, wherein the step S1, the determining the order N of the Golomb Costas array is specifically as follows:
S11. for application in a cellular mobile communication system, according to the maximum Doppler shift dmax of the cellular mobile communication system with dmax being a nonnegative integer, determining the minimum Doppler distance w between optimal frequency-hopping pattern families by dmax≤w−1, determining the number s of the optimal frequency-hopping pattern families according to the number of cells in a cluster, the number s of the families being not less than the number of cells in the cluster;
S12. according to the maximum multipath delay τmax in a cell with τmax being a nonnegative integer, determining the minimum delay distance w1 between frequency-hopping patterns in each optimal frequency-hopping pattern family by τmax ≤w1−1, determining the number s1 of the frequency-hopping patterns in each optimal frequency-hopping pattern family according to the number of users in a cell, the number s1 of the frequency-hopping patterns in each family being not less than the number of users in the cell; and
S13. determining q according to the minimum Doppler distance w between the optimal frequency-hopping pattern families, the number s of the optimal frequency-hopping pattern families, the minimum delay distance w1 between the frequency-hopping patterns in an optimal frequency-hopping pattern family, and the number s1 of the frequency-hopping patterns in the optimal frequency-hopping pattern family that are obtained in steps S11 and S12, where q=pn, p being a prime number and n being a positive integer, q needs to meet both w·s≤q−1 and w1·s1≤q−1, after q is determined, determining the order N of the Golomb Costas array; N=q−2, where q=pn, p being a prime number, n being a positive integer, if n=1, the Golomb Costas array is constructed based on a prime field, or otherwise, the Golomb Costas array is constructed based on the extension field;
S2. generating the family head frequency-hopping pattern of the optimal frequency-hopping pattern family; and
S3. generating other frequency-hopping patterns in each optimal frequency-hopping pattern family from the family head frequency-hopping pattern obtained in step S2.
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