Bandwidth efficiency in m - ary psk

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SUMMARY

The discussion focuses on the bandwidth efficiency of M-ary Phase Shift Keying (PSK). The initial formula presented for bandwidth efficiency is Rb/B = log2(M), where Rb is the bit rate and B is the bandwidth. However, Simon Haykin's reference indicates that the correct bandwidth efficiency is (log2(M))/2, leading to the conclusion that the channel bandwidth required for M-ary PSK is B = 2/T, with T defined as Tb(log2(M)) and Rb = 1/Tb.

PREREQUISITES
  • Understanding of M-ary PSK modulation techniques
  • Familiarity with bit rate (Rb) and symbol rate (Rs)
  • Knowledge of logarithmic functions, specifically log base 2
  • Basic concepts of channel bandwidth and signal processing
NEXT STEPS
  • Research the derivation of bandwidth efficiency in digital modulation schemes
  • Study Simon Haykin's "Digital Communications" for in-depth understanding of M-ary PSK
  • Explore the implications of bandwidth efficiency on communication system design
  • Learn about the impact of symbol rate on overall system performance in PSK
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Engineers and researchers in telecommunications, students studying digital communication systems, and professionals involved in optimizing modulation techniques for efficient bandwidth usage.

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In M-ary psk
Rb=Rs*log M log with base 2
Rb- bit rate
Rs - symbol rate
then bandwidth required for passband signal is B=Rs
and bandwidth effeciency = Rb/B=log M log with base 2.
Is the above formula for bandwidth efficiency correct ?
But in simon haykin it is given that bandwidth efficiency is (log M )/2 log with base 2
 
Engineering news on Phys.org
The channel bandwidth required to pass M-ary PSK is B=2/T
Now, T = Tb (log2 M) and Rb = 1/Tb
So rho = Rb/B = (log2 M) /2
 

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