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9.4.1 Example Calculation

It is desired to find the mean fade occurrence interval  and the mean fade duration under the following conditions:
 
(9-33) 
and
(9-34) 

Step 1: Evaluate  and m(P).

Substitute P given by (9-33) into (9-31) and evaluate  and m(P). We obtain
 
(9-35) 

Step 2: Evaluate the upper and lower bounds of the –10 dB spectral bandwidth f-10.
Substituting coefficients of Table 9-3 into (9-32) for  given in (9-34), we obtain
 
.
(9-36) 

Step 3: Evaluate the mean fade occurrence interval at P=50%.
Substituting (9-36) into (9-30), we obtain
 
(9-37) 

where the subscripts U, L denote the upper and lower bounds of f-10 in (9-36), respectively.

Step 4: Evaluate  at the upper and lower bound of f-10.
Substituting  given in (9-37) and m(P) given in (9-35) into (9-28),
 
.
(9-38) 

Step 5: Evaluate  at the upper and lower bounds of f-10.
Substituting (9-33) and (9-38) into (9-29),
 
.
(9-39) 

In Figure 9-12 through Figure 9-14 are given pairs of curves showing the spread of the mean fade occurrence interval  versus elevation angle at the aforementioned maritime bounds for exceedance probabilities of multipath fading P of 99%, 95%, and 90%, respectively. In Figure 9-15 through Figure 9-17 are given analogous sets of curves for the mean fade durations . Consistent with the fact that higher exceedance percentages imply greater multipath fading, the spread (difference between upper and lower bound values for a fixed elevation angle) of the mean fade occurrence interval is greater at the higher percentages (larger fades) and smaller at the lower percentages (smaller fades). Analogously, the mean fade duration spread is smaller at the higher percentages (greater fading) and larger at the smaller percentages (smaller fading).
 
 

Figure 9-12: Bounds of mean fade occurrence interval  for multipath fade exceedance percentage P = 99% at L-Band.



Figure 9-13: Bounds of mean fade occurrence interval  for multipath fade exceedance percentage P = 95% at L-Band.



Figure 9-14: Bounds of mean fade occurrence interval  for multipath fade exceedance percentage P = 90% at L-Band.



Figure 9-15: Bounds of mean fade duration  for multipath fade exceedance percentage P = 99% at L-Band.



Figure 9-16: Bounds of mean fade duration  for multipath fade exceedance percentage P = 95% at L-Band.



Figure 9-17: Bounds of mean fade duration  for multipath fade exceedance percentage P = 90% at L-Band.


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