Table 2 Corresponding variables of the conventional and equivalent single-user MIMO systems

Source

s

m × 1

s _k

m _k  × 1

${\underset{¯}{\mathbf{s}}}_k$

${\underset{¯}{m}}_k\times 1$

Receive signal

y

r × 1

y _k

u _k  × 1

${\underset{¯}{\mathbf{G}}}_{\mathit{k},\mathrm{R}}{\underset{¯}{\mathbf{y}}}_k$

${\underset{¯}{\mathit{d}}}_k\times 1$

Noise

n

r × 1

n _k

u _k  × 1

${\underset{¯}{\mathbf{G}}}_{k,\mathrm{R}}{\underset{¯}{\mathbf{n}}}_{\mathit{k}}$

${\underset{¯}{\mathit{d}}}_k\times 1$

Precoder

F

c × m

F _k,R

d _k  × m _k

${\underset{¯}{\mathbf{F}}}_k$

${\underset{¯}{\mathit{u}}}_k\times {\underset{¯}{\mathit{m}}}_k$

Decoder

G

m × r

G _k

m _k  × u _k

${\underset{¯}{\mathbf{G}}}_{k,\mathrm{L}}$

${\underset{¯}{\mathit{m}}}_k\times {\underset{¯}{\mathit{d}}}_k$

Channel

H

r × c

H _kk F _k,L

u _k  × d _k

${\underset{¯}{\mathbf{G}}}_{k,\mathrm{R}}{\underset{¯}{\mathbf{H}}}_{\mathit{kk}}$

${\underset{¯}{\mathit{d}}}_k\times {\underset{¯}{\mathit{u}}}_k$