Iterative Receiver Design

Notations

Common Notations A

domain of variable X, x

x

a vector

x

Frobenius norm of x

X

a vector random variable or a matrix

X H

conjugate transpose of X

X T

transpose of X

estimate of x

expectation operator

cardinality of the set

the set of binary numbers {0, 1}

indicator function

? k

discrete Dirac distribution

?(t)

continuous Dirac distribution

( )

equality function

particle representation of distribution p X ( ) with L samples

diag{ x}

a diagonal matrix with the elements of x on the diagonal

f (x) = ? g(x), , for some scalar ?

I N

an N N identity matrix

? X ?f (x)

message from edge X to node f , evaluated in x ?

? f ?X (x)

message from node f to edge X , evaluated in x ?

a is much smaller than b

arg max x f (x)

the value of x that achieves the maximum of f ( )

[ a, b]

the closed interval

[ a, b)

the half-open interval

Common Notations B

B, b

information word

C, c

codeword

A, a

coded symbols

Y, y

observation

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