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6.4.3 Binary vs. M-ary Signaling Schemes Note that with M = 2, both (6.19) and (6.20) turn into (6.16). Figure 6.8 shows (6.20) for various values of M. Assuming both binary and M-ary signaling are delivering the same bit error rate, we can draw the following conclusions: i) As reflected in (6.20), the transmit power for the M-ary system must 3 log2M M² 1 be increased by a factor of: ii) As highlighted in (6.17), the bandwidth requirement for the M-ary system can be reduced by a factor of 1 1 m log2M iii) The complexity associated with the receiver for the M-ary system is higher than that for the binary system, as it requires (M-2) additional comparators. PBER(e) 1.0E-1 1.0E-2 M = 2 M = 4 1.0E-3 M=8 1.0E-4 1.0E-5 1.0E-6 1.0E-7 M = 16 1.0E-8 0 5 10 15 20 25 Eb (dB) No FIGURE 6.8 Bit error rate performance for M-ary signaling.

6.4.3 Binary vs. M-ary Signaling Schemes Note that with M = 2, both (6.19) and (6.20) turn into (6.16). Figure 6.8 shows (6.20) for various values of M. Assuming both binary and M-ary signaling are delivering the same bit error rate, we can draw the following conclusions: i) As reflected in (6.20), the transmit power for the M-ary system must 3 log2M M² 1 be increased by a factor of: ii) As highlighted in (6.17), the bandwidth requirement for the M-ary system can be reduced by a factor of 1 1 m log2M iii) The complexity associated with the receiver for the M-ary system is higher than that for the binary system, as it requires (M-2) additional comparators. PBER(e) 1.0E-1 1.0E-2 M = 2 M = 4 1.0E-3 M=8 1.0E-4 1.0E-5 1.0E-6 1.0E-7 M = 16 1.0E-8 0 5 10 15 20 25 Eb (dB) No FIGURE 6.8 Bit error rate performance for M-ary signaling.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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6.4.3 Binary vs. M-ary Signaling Schemes Note that with M = 2, both (6.19) and (6.20) turn into (6.16). Figure 6.8 shows (6.20) for various values of M. Assuming both binary and M-ary signaling are delivering the same bit error rate, we can draw the following conclusions: i) As reflected in (6.20), the transmit power for the M-ary system must 3 log2M M² 1 be increased by a factor of: ii) As highlighted in (6.17), the bandwidth requirement for the M-ary system can be reduced by a factor of 1 1 m log2M iii) The complexity associated with the receiver for the M-ary system is higher than that for the binary system, as it requires (M-2) additional comparators. PBER(e) 1.0E-1 1.0E-2 M = 2 M = 4 1.0E-3 M=8 1.0E-4 1.0E-5 1.0E-6 1.0E-7 M = 16 1.0E-8 0 5 10 15 20 25 Eb (dB) No FIGURE 6.8 Bit error rate performance for M-ary signaling.
Transcribed Image Text:6.4.3 Binary vs. M-ary Signaling Schemes Note that with M = 2, both (6.19) and (6.20) turn into (6.16). Figure 6.8 shows (6.20) for various values of M. Assuming both binary and M-ary signaling are delivering the same bit error rate, we can draw the following conclusions: i) As reflected in (6.20), the transmit power for the M-ary system must 3 log2M M² 1 be increased by a factor of: ii) As highlighted in (6.17), the bandwidth requirement for the M-ary system can be reduced by a factor of 1 1 m log2M iii) The complexity associated with the receiver for the M-ary system is higher than that for the binary system, as it requires (M-2) additional comparators. PBER(e) 1.0E-1 1.0E-2 M = 2 M = 4 1.0E-3 M=8 1.0E-4 1.0E-5 1.0E-6 1.0E-7 M = 16 1.0E-8 0 5 10 15 20 25 Eb (dB) No FIGURE 6.8 Bit error rate performance for M-ary signaling.
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