Transmission apparatus, reception apparatus, transmission method, reception method, and method for generating multi-dimensional constellations

摘要

The present invention relates to digital data communication and provides an efficient method for generating multi-dimensional constellations for digital data modulation with a high degree of modulation diversity, a method for transmitting and receiving data on the basis of such constellations, and a corresponding apparatus. This is achieved by considering only multi-dimensional rotation matrices with all elements on the diagonal having the same first absolute value and all other elements having the same second absolute value. In this manner, multi-dimensional rotation matrices can be generated having only a single independent parameter and a structure that is as regular as possible. The independent parameter can be configured in order to minimize the error probability for various constellation sizes.

主权项

1. A transmission apparatus for transmitting a block of data over a plurality of transmission channels, the transmission apparatus comprising:
a modulator operable to generate one of a plurality of rotated constellation points in accordance with the block of data to be transmitted, each of the plurality of rotated constellation points having N components; a mapper operable to separate and map each of the N components of the generated rotated constellation point to a different one of a plurality of complex symbols; and a transmitter operable to transmit each of the complex symbols at a different time and/or at a different frequency, wherein the plurality of rotated constellation points are obtained by applying an orthogonal transformation to each of a plurality of initial constellation points having N components so as to increase a reception robustness under fading conditions, N is a multiple of four, the orthogonal transformation has one of (i) an N-by-N matrix representation with absolute values of all elements on a main diagonal equal to a first value, and with absolute values of all elements not on the main diagonal equal to a non-zero second value, and (ii) a matrix representation obtained by permuting rows and/or columns in an N-by-N matrix representation with absolute values of all elements on a main diagonal equal to a first value, and with absolute values of all elements not on the main diagonal equal to a non-zero second value, and when each of the N-by-N matrix representations is denoted by R,R=(s1,1⁢as1,2⁢b…s1,N⁢bs2,1⁢bs2,2⁢a⋮⋮⋱sN-1,N⁢bsN,1⁢b…sN,N-1⁢bsN,N⁢a) a and b denote real parameters, each sign value si,j satisfies
si,jε{−1,+1}, andsi,isi,j=−sj,isj,j for all i≠j, and the real parameters a and b satisfy
a2+(N−1)b2=1.