Читать книгу Spatial Multidimensional Cooperative Transmission Theories And Key Technologies - Lin Bai - Страница 8

1.A and a represent complex-value vectors and matrices, respectively.

2.For matrix A, A^T, A^H, A⁻¹, and A* represent its transpose, conjugate transpose, inverse of the matrix, and conjugate matrix, respectively.

3.[A]_i,j denotes the element of the ith row and the jth column of matrix A.

4.A(a:b, c:d) represents a sub-array of matrix A whose elements are the a, . . . , b rows and c, . . . , d columns of matrix A.

5.A(n, :) and A(:, n) represent the nth row and the nth column of the matrix A, respectively.

6. and represent the real and the imaginary parts of complex z, respectively.

7.||·|| represents the 2 norm of the vector or matrix and ||·|| represents the Frobenius norm of the vector or matrix.

8.[α] represents the largest integer less than α and [α] represents the nearest integer to α.

9.[α] represents the absolute value of α.

10.\ represents set subtraction.

11.I_n represents the n × n identity matrix.

12. represents the set containing elements k₍₁₎, k₍₂₎, . . ..

13.tr(A) represents the trace of matrix A.

14.det(A) represents the determinant of matrix A.

15. represents the length of the shortest non-zero vector in the lattice generated by matrix A.

16. represents the orthogonal separating degree of matrix A with M column vectors.

17.λ(A) and λ_min(A) represent the eigenvalues of matrix A and the minimum eigenvalue of matrix A, respectively.

18. represents the lattice generated by the matrix A.

19.E[·] represents statistical expectation.

20.〈a, b〉 represents the inner product of the vectors a and b.

21. represents a complex Gaussian vector with a mean of m and a variance of C.

22.log(·) represents the natural logarithm.

23.0 represents a matrix with all zero elements.

24. represents a set of all integers.

25.A ⊗ B represents the Kronecker product of the matrices A and B.