Class

Delays

Gains

Freq.

Phases

WSS
 
ME
 
AE
  
FOS


    
Freq.

Time

Freq.

Time

Freq.

Time

TimeFreq.

Time


I

Det.

Det.

Det.

Det.

















II

Det.

Det.

Det.

Rand.

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Yes

III

Det.

Det.

Rand.

Det.

No/Yes^{c}

No/Yes^{c}

No/Yes^{c}

No/Yes^{c}

No/Yes^{c}

No

No

No/Yes^{c}

IV

Det.

Det.

Rand.

Rand.

Yes

Yes

Yes

Yes

Yes

No

No

Yes

V

Det.

Rand.

Det.

Det.

No/Yes^{e}

No/Yes^{e}

No/Yes^{e}

No/Yes^{e}

No

No

No

No

VI

Det.

Rand.

Det.

Rand.

Yes

No/Yes^{e}

Yes

Yes

No

No

No

Yes

VII

Det.

Rand.

Rand.

Det.

No/Yes^{e}

No/Yes^{e}

No/Yes^{e}

No/Yes^{e}

No

No

No

No/Yes^{c}

VIII

Det.

Rand.

Rand.

Rand.

Yes

Yes

Yes

Yes

No

No

No

Yes

IX

Rand.

Det.

Det.

Det.

No/Yes^{a}

No/Yes^{a}

No/Yes^{a}

No/Yes^{a}

No

No/Yes^{a}

No

No/Yes^{a}

X

Rand.

Det.

Det.

Rand.

Yes

Yes

Yes

Yes

No

Yes

No

No/Yes^{b}

XI

Rand.

Det.

Rand.

Det.

No/Yes^{a}

No/Yes^{a}

No/Yes^{a/c/d}

No/Yes^{a/c/d}

No

No

No

No/Yes^{c}

XII

Rand.

Det.

Rand.

Rand.

Yes

Yes

Yes

Yes

No

No

No

Yes

XIII

Rand.

Rand.

Det.

Det.

No/Yes^{a/e}

No/Yes^{a/e}

No/Yes^{a/e}

No/Yes^{a/e}

No

No

No

No

XIV

Rand.

Rand.

Det.

Rand.

Yes

Yes

Yes

Yes

No

No

No

Yes

XV

Rand.

Rand.

Rand.

Det.

No/Yes^{a/c/e}

No/Yes^{a/c/e}

No/Yes^{a/c/d/e}

No/Yes^{a/c/d/e}

No

No

No

No/Yes^{c}

XVI

Rand.

Rand.

Rand.

Rand.

Yes

Yes

Yes

Yes

No

No

No

Yes

 Freq., frequency; WSS, widesense stationary; ME, meanergodic; AE, autocorrelation ergodic; FOS, firstorder stationary; Rand., random; Det., deterministic. ^{a} Only in the limit f^{′}→±∞; ^{b} Only in the limit f^{′}→0; ^{c} Only in the limit t→±∞; ^{d} If the boundary condition {\sum}_{n=1}^{N}{c}_{n}exp\left\{j{\theta}_{n}\right\}=0 is satisfied; ^{e} If the mean of the random gains is equal to zero.