herent Frequency-Hopped Systems Table 2.7 Parameters associated with Pb upperbounds for FH/MFSK signals with diversity in worst case n = 1 band multitone jamming. Yo, dB .7945 1.366 2.160 4.631 .8188 1.405 2.226 .4493 .9583 1.708 2.605 .3839 1.2204 2.278 3.317 .3014 For the exact Pb expressions of (2.97)-(2.99) and (2.102), there is no ele- gant way to compute the optimum diversity. The results involve several lev- els of computer number crunching. For each value of K and EIN, a value of m is selected within the range specified by (2.103). For this parameter set, the value of k that maximizes P is determined, corresponding to awc; the responding worst case Pb for that value of m is stored. The procedure is repeated for other values of m until the worst case Pb is minimized, defin- ing Mopt (This exercise shows the relative convenience of the performance bound.) The resulting performance for optimum diversity and worst case n = 1 band multitone jamming is compared with the much simpler upperbound result in Figure 2.46. The bound is only pessimistic by 1/2 dB, which is a rea- sonable price to pay for its computational convenience. Interestingly, Figures 2.47 and 2.48 demonstrate that the quasi-optimum jamming para- meters a and diversity m based on the upperbound agree quite well on the average with the exact parameters, whose variations are due to the discrete nature of the optimizations. So, for both the communicator and the jammer, the bound provides an accurate determination of the key system design parameter. The effectiveness of optimum diversity against worst case n = 1 band multitone jamming is shown in Figures 2.49 and 2.50 for K = 2 and 4. The improvement in performance is substantial relative to the no diversity case: 36 dB at K = 2 and 38 dB at K = 4. (From the perspective of the EIN scale used in these graphs, the accuracy of the bounds seems to be quite adequate.) Recall that in the worst case partial-band noise case, optimum diversity pro- vided performance less than 3 dB worst than in broadband nois