### Table 3(a). The 6-dimensional 8PSK modulation signal space partition I. Partition

1986

"... In PAGE 44: ... To read these tables, we only need to understand the corresponding binary vector space partition. We show this by going through the partition given in Table3 (a). From Table 3(a), we first find the binary linear block codes used in the binary vector space partitions: c1 : (3,2) code, G~ = [h :I, m-(cl) = 2; C2 : (3, 1) code, G2 = [O 1 11, HD~ amp;) = 2; C3 : (3, 0) code, C3 = (0 0 01, HDdn(C3) = -; and C4 = C1, C5 = Cp Let C = (0, lQ, the 3-dimensional binary vector space.... In PAGE 47: ... Four-state R = 8/9 trellis coded 6-dimensional 8PSK modulation This time we have two different signal space partitions. First consider partition 11 given in Table3 (b). Since R = 8/9, there are 28 = 256 transitions to and from each state.... In PAGE 48: ...33 bitddimension . If partition I of Table3 (a) is used instead, the best trellis structure will be the one with four sets of 64 parallel transitions. It also achieves dj = 34 = 1.... In PAGE 49: ...,, b2 , . . . , b9 is shown in Table 6, which is obtained from the signal space partition of Table3 (b). From Table 6 we see that bl, b2, b4, b5, b7, and b8 can be either 0 or 1 ... In PAGE 70: .... 1 r Table3 (b). The 6-dimensional 8PSK modulation signal space partition II.... ..."

### Table 1: 18

"... In PAGE 8: ...Numerical values of the Cherno bounding parameter Z2 (Z for 2-PSK) are shown in Table1 for a number of di erent . Consider now the decoding on the kth level, when the subsets S(k?1) 0 and S(k?1) 1 are 2(K?k)-PSK signal sets (Figure 3).... In PAGE 15: ... Figure 3: The signal constellation on the rst level for K = 3. Table1 : Numerical values of Z for di erent values of . Table 2: Comparison of Z to the conventional approximation.... ..."

### TABLE I. BANDWIDTH AND POWER EFFICIENCIES OF M- PSK SIGNALS[1]

### Table 1 BER and bit errors for amplitude variation of PSK signal versus number of received bits (N)

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### Table 2: Comparison among VEM, VB and EM algorithms in 8-PSK blind signal detection.

### Table 1. The multi-dimensional signal set mapper

"... In PAGE 8: ...List of Tables Table1 : CCIR test channel parameters .... In PAGE 8: ............ 87 Table1 1: Summary of Search Metrics used for different channels .... In PAGE 134: ... 4. The Codes The coded-modulation scheme used for each rate is given in Table1 . All the codes shown are convolutional trellis codes.... In PAGE 134: ... A block diagram of the multi-rate encoder is shown in Figure 2. The convolutional encoder implements the convolutional codes shown in Table1 . The multi-dimensional signal set mapper then maps the coded bits into either two, four or eight signal dimensions (for the 300, 600 and 1200 bps codes this function also includes a Gray coder, see later).... In PAGE 134: ... (1) where m ek is the e th metric at time k r k is the received signal phasor at time k e is the expected signal constellation point Info. Rate Code Rate k/n Constell- ation States Generators or Parity Check Coefficients (octal) Ref 300 1/8 4xQPSK 256 g 1 =373 g 2 =353 g 3 =335 g 4 =315 g 5 =277 g 6 =251 g 7 =231 g 8 =227 [11] 600 1/4 2xQPSK 256 g 1 =365 g 2 =337 g 3 =271 g 4 =233 [11] 1200 1/2 QPSK 256 g 1 =363 g 2 =255 [11] 2400 2/3 8PSK 256 h 0 =417 h 1 =573 h 2 =621 [12] 3600 3/4 16PSK 128 h 0 =211 h 1 =307 h 2 =343 h 3 =337 [12] Table1 . Coded-Modulation Schemes Investigated.... ..."

### TABLE III UNITARY MATRIX SET FOR CIRCLED CONSTELLATION IN 4 TRANSMIT ANTENNAS (8PSK)

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### Table 2: Comparison among VEM, VB and EM algorithms in 8-PSK. Algorithm VEM VB EM

2003

"... In PAGE 8: ... The dual EM algorithm was run on the distribution of the param- eters. Table 1 shows comparative results when applying VEM, VB and EM algorithms on 4-QAM signals, while Table2... ..."

Cited by 3

### Table 1: Comparison among VEM, VB and EM algorithms in 4-QAM blind signal detection.

"... In PAGE 4: ...ions. The VEM algorithm is marked with circles in Figure 2. We can observe that the VEM algorithm provides higher log- likelihood, while eliminating the dependency on the hyper- parameter initialization. Table1 shows comparative results when applying VEM, VB and EM algorithms in the 4-QAM data set, while Ta- ble 2 shows comparative results on 8-PSK modulated sig-... ..."

### Table 3: Normalized capacity for 4PSK schemes. These values correspond to the largest value of R0=Kf at PO = 0:1 over the set of frequency reuse factors Kf = 3; 4; 7; 9.

"... In PAGE 13: ... frequency reuse factor Kf = 4 and diversity order M = 4, and with Kf = 9 and M = 1 (i.e., no diversity). Table3 shows the normalized radio capacity of a system using 4PSK, assuming practical reliable com- munication and an outage probability PO = 0:1. This is obtained as the maximum ratio of R0=Kf, where Kf takes on values in the set Kf = 3; 4; 7; 9 and R0 is given by the abscissas of curves like those shown in Figs.... ..."