Multiantenna Wireless Communication Systems

Symbols

?

approximately equal to

?

the Kronecker product

0 m

m m all zeros matrix

0 m , n

m n all zeros matrix

a

the magnitude of the scalar a

A *

the elementwise conjugate of A

A

the pseudoinverse of A

[ A] i,j

the ( i, j)th element of A

A

the Frobenius norm of A

A H

the conjugate transpose of A

A T

the transpose of A

A

the determinant of A

rank( A)

the rank of the matrix A

tr( A)

the trace of A

vec( A)

the vector obtained by stacking the columns of A on top of each other

I N

the identity matrix of dimension N N

?

the cardinality of the set ?

?( x)

the Dirac delta function

? kl

the Kronecker symbol (equal to one if k = l and zero otherwise)

E{ }

the expected value

f X ( x)

the pdf of the random variable X

f x ( x 1, x 2, ..., x N)

the joint pdf of the random variables X 1, X 2, ..., X N

F X ( x)

the CDF of the random variable X

F x ( x 1 , x 2, ..., x N)

the joint CDF of the...

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