Transceiver optimization: summary and tables - Signal Processing and Optimization for Transceiver Systems - page 815

Table I.2. Linear MIMO system with orthonormal precoder (Chap. 15 )

ZF-MMSE linear transceiver (Chap. 15, Sec. 15.3.1)
The optimal solution is such that
F = α V h I M
0

G = α − 1 [ Σ g 0 ] U h , and (I . 8)

where Σ g =([ Σ h ] M ) − 1 and α is determined by the power p 0 . The minimized
MSE is given by

M− 1

E mmse = Mσ q σ s
p 0

1
σ h,k

(I . 9)

k =0

Pure-MMSE linear transceiver (Chap. 15, Sec. 15.3.2)
The optimal solution is such that
F = α V h I M
0

0 ] U h ,

G = α − 1 [ Σ g

and (I . 10)

where

− 1

I + σ q
σ s

Σ g =( Σ h ) − M ( Σ h ) − M (I . 11)

and α is determined by the power p 0 . The minimized MSE is given by

.

M− 1

E mmse = Mσ s σ q
p 0

1

(I . 12)

Mσ q
p 0

+ σ h,k

k =0