Class

Gains

Frequency

Phases

WSS

ME

AE

FOS


I SOC

Det.

Det.

Det.









I SOS

Det.

Det.

Det.









II SOC

Det.

Det.

Rand.

Yes

Yes

Yes

Yes

II SOS

Det.

Det.

Rand.

Yes

Yes

Yes

Yes

III SOC

Det.

Rand.

Det.

No/Yes^{a,b}

No/Yes^{a}

No

No/Yes^{b}

III SOS

Det.

Rand.

Det.

No/Yes^{c,d,e}

No/Yes^{c,d}

No

No/Yes^{b,c,d,e}

IV SOC

Det.

Rand.

Rand.

Yes

Yes

No

Yes

IV SOS

Det.

Rand.

Rand.

Yes

Yes

No

Yes

V SOC

Rand.

Det.

Det.

No/Yes^{f}

No/Yes^{f}

No

No

V SOS

Rand.

Det.

Det.

No

No/Yes^{f}

No

No

VI SOC

Rand.

Det.

Rand.

Yes

Yes

No

Yes

VI SOS

Rand.

Det.

Rand.

Yes

Yes

No

Yes

VII SOC

Rand.

Rand.

Det.

No/Yes^{b/f}

No/Yes^{a/b/f}

No

No/Yes^{b}

VII SOS

Rand.

Rand.

Det.

No/Yes^{c,d,e}

No/Yes^{f/c,d}

No

No/Yes^{b,c,d,e}

VIII SOC

Rand.

Rand.

Rand.

Yes

Yes

No

Yes

VIII SOS

Rand.

Rand.

Rand.

Yes

Yes

No

Yes

 WSS, widesense stationary; ME, meanergodic; AE, autocorrelation ergodic; FOS, firstorder stationary; Rand., random; Det., deterministic. ^{a}If the boundary condition {\sum}_{n=1}^{N}{c}_{n}exp\left\{j{\theta}_{n}\right\}=0 is satisfied; ^{b}Only in the limit t→±∞; ^{c}If the density of the random Doppler frequencies is an even function; ^{d}If the boundary condition {\sum}_{n=1}^{{N}_{i}}cos\left({\theta}_{i,n}\right)=0 is satisfied; ^{e}If the boundary condition {\sum}_{n=1}^{{N}_{i}}cos\left(2{\theta}_{i,n}\right)=0 is satisfied; ^{f} If the mean value of the random gains is equal to zero.