### Table 8. Uncoded QPSK modulation.

"... In PAGE 5: ... Events flagged for the reverse link, Design 2. _______________________________________________ 18 Table8 . Uncoded QPSK modulation.... In PAGE 20: ... Uncoded QPSK transmits two bits per symbol in a memoryless fashion. Table8 documents the mapping from the input bits to the output modulation symbols. Table 8.... In PAGE 23: ... Uncoded QPSK transmits two bits per symbol in a memoryless fashion. Table8 documents the mapping from the input bits to the output modulation symbols. Table 12.... ..."

### Table 6. Uncoded QPSK modulation.

"... In PAGE 19: ... Uncoded QPSK transmits two bits per symbol in a memoryless fashion. Table6 documents the mapping from the input bits to the output modulation symbols. Table 6.... In PAGE 22: ... Uncoded QPSK transmits two bits per symbol in a memoryless fashion. Table6 documents the mapping from the input bits to the output modulation symbols. Table 10.... ..."

### Table 7. Uncoded QPSK modulation.

"... In PAGE 4: ...able 6. Events flagged for the reverse link, Design 2................................................................. 19 Table7 .... In PAGE 21: ... Uncoded QPSK transmits two bits per symbol in a memoryless fashion. Table7 documents the mapping from the input bits to the output modulation symbols. Table 7.... ..."

### Table 9. Preamble for Uncoded QPSK.

"... In PAGE 4: ...able 8. Pilot Symbol Frame 1. .................................................................................................... 21 Table9 .... ..."

### Table 3: Optimized uncoded CPM schemes.

"... In PAGE 4: ... RESULTS AND DISCUSSION In Table 1 wegive the minimum Euclidean distance for the best uncoded CPM schemes based on the GMSK phase pulse for di erent M and L. Table 2 gives the result for convolutionally encoded CPM us- ing the GMSK phase pulse with code rates R c =1=3, 1=2, 2=4, 2=3 and 3=4, and Table3 gives the minimum Euclidean distance for the optimized phase pulses and modulation indices. For M =4andL =4; 6 the best convolutional codes in Table 2 give a coding gain of 0:4 ; 0:6 dB and the M = 16, L =2schemes giveacoding gain of 0:7 ; 0:9 dB compared to the corresponding un- coded schemes in Table 1.... In PAGE 4: ... For the other M and L in Table 1, the un- coded schemes have better d 2 min and no convolution- ally encoded CPM scheme achieves better d 2 min than the uncoded M =8schemes. The uncoded schemes with optimized phase pulses in Table3 are better than all the schemes based on the GMSK phase pulse with and without convolutional encoding, except for the shortest cases with M =4 and M =16. The 8-ary optimized schemes are still the best, and the best CPM scheme is 0:34 dB better than any of the GMSK based schemes.... ..."

### Table 1: Best uncoded CPM schemes using the

"... In PAGE 4: ... This algorithm derives successive quadratic programming problems, where each subproblem becomes a problem of min- imizing a quadratic approximation to the Lagrange relaxation of the original problem subject to a linear approximation to the constraints. RESULTS AND DISCUSSION In Table1 wegive the minimum Euclidean distance for the best uncoded CPM schemes based on the GMSK phase pulse for di erent M and L. Table 2 gives the result for convolutionally encoded CPM us- ing the GMSK phase pulse with code rates R c =1=3, 1=2, 2=4, 2=3 and 3=4, and Table 3 gives the minimum Euclidean distance for the optimized phase pulses and modulation indices.... In PAGE 4: ... Table 2 gives the result for convolutionally encoded CPM us- ing the GMSK phase pulse with code rates R c =1=3, 1=2, 2=4, 2=3 and 3=4, and Table 3 gives the minimum Euclidean distance for the optimized phase pulses and modulation indices. For M =4andL =4; 6 the best convolutional codes in Table 2 give a coding gain of 0:4 ; 0:6 dB and the M = 16, L =2schemes giveacoding gain of 0:7 ; 0:9 dB compared to the corresponding un- coded schemes in Table1 . Note however that there is almost no improvement in d 2 min for m = 2 and m =3.... In PAGE 4: ... Note however that there is almost no improvement in d 2 min for m = 2 and m =3. For the other M and L in Table1 , the un- coded schemes have better d 2 min and no convolution- ally encoded CPM scheme achieves better d 2 min than the uncoded M =8schemes. The uncoded schemes with optimized phase pulses in Table 3 are better than all the schemes based on the GMSK phase pulse with and without convolutional encoding, except for the shortest cases with M =4 and M =16.... ..."

### TABLE II COMPARISONBETWEEN CODED AND UNCODED SYSTEMS

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### Table 10. Unique Word for Uncoded QPSK.

"... In PAGE 4: ...able 9. Preamble for Frame 1. .................................................................................................... 22 Table10 .... In PAGE 23: ....3.1.3.1 Unique Word The unique word shall consist of the Nuw=20 symbols given in Table10 . The unique word shall appear in the last pilot symbol frame of the notification cycle preamble.... ..."