Simple bound to the error probability in coherent multiphase phase-shift-keyed systems with intersymbol interference and gaussian noise

1973 ◽  
Vol 120 (7) ◽  
pp. 725 ◽  
Author(s):  
T.S. Koubanitsas ◽  
L.F. Turner
Keyword(s):  
Phase Shift ◽  
Gaussian Noise ◽  
Error Probability ◽  
Intersymbol Interference

scholarly journals Analytical Models for the Computation of Error Probability of Multi-Level Phase Shift Keying Modulation Scheme

2021 ◽  
Vol 4 (1) ◽  
pp. 13-20
Author(s):  
Isaac A. E. ◽  
Dike H.U.
Keyword(s):  
Phase Shift ◽  
Error Probability ◽  
Error Function ◽  
Density Ratio ◽  
Analytical Models ◽  
Modulation Scheme ◽  
Noise Power ◽  
Phase Shift Keying ◽  
Shift Keying ◽  
Multi Level

In this paper, analytical models for the computation of error probability (BER) of the Multi-level Phase Shift Keying (MPSK) modulation scheme is presented. Analytical models for computing MPSK bit error probability based on Q function, error function (erf) and complementary error function (erfc) are presented. Also, an analytical model for computing the symbol error rate for MPSK is presented. Furthermore, a generalized analytical expression for BER as a function of modulation order (M) and energy per bit to noise power density ratio (Eb/No) is presented. The BER was computed for various values of M (2 ≤ M ≤ 256) and Eb/No (0 dB ≤ Eb/No ≤ 14 Db). The results showed that at Eb/No =12 dB, a BER of 9.006E-09 is realized for M =2 and M =4 whereas BER of 1.056E-01 is realized for M = 256. Also, for the same M = 2 , the value of BER decreased from 1.2501E-02 at Eb/No = 4 dB to 9.0060E-09at Eb/No =12 dB. Generally, the results showed that for the MPSK modulation scheme, for a given value of Eb/No, the lower modulation order (M) has a lower BER and for a given modulation order, (M) the BER decreases as Eb/No increases.

Sign in / Sign up

Export Citation Format

Share Document