Nov 19, 2021 · Is there an exact formula for the probability of bit error (or bit error rate, BER) for 8-PSK (in the literature, course slides, etc.)? I am not referring to SEP (Symbol Error Probability) but BER....

Mar 5, 2016 · I'm trying to understand how to derive the BEP for 8PSK by geometrically looking at the decision regions. Say I have this 8PSK signal set and the corresponding decision boundaries. I assume that '000' is sent, and I want to calculate the BEP.

Apr 14, 2010 · Compare Performance and spectral efficiency of bandwidth-efficient digital modulation techniques (BPSK,QPSK and QAM) on their theoretical BER over AWGN.

In 8 PSK, the distance between the constellation point is small compared to BPSK, and 4 PSK and Eb/No ratio (SNR per bit) has to become more significant to attain target BER. In the above figure, QAM performs better than PSK in normal SNR.

Phase-shift keying (PSK) is a digital modulation process which conveys data by changing (modulating) the phase of a constant frequency carrier wave. The modulation is accomplished by varying the sine and cosine inputs at a precise time. It is widely used for wireless LANs, RFID and Bluetooth communication.

BER = [BER err/(size*iter)]; end semilogy(SNR,BER);grid;xlabel(’E_bN_0’);ylabel(’BER’); title(’BPSK over AWGN channel’); The following program uses some advanced functions of matlab to evaluate the symbol error rate for QPSK modulation: M = 4; % Alphabet size EbN0_min=0;EbN0_max=10;step=2; SNR=[];SER=[]; for EbN0 = EbN0_min:step ...

For 8PSK, BER is lower than 0.01 when Eb/N0 is higher than 7 dB with the bit rate lower than 30 kbps. Among the three modulation methods, 8PSK obtains the highest bandwidth efficiency; while QPSK is twice as high as that of BPSK.

This paper presents a comparison study on the Bit Error Rate (BER) performance of 8-Phase Shift Keying (8-PSK) and 8-Quadrature Amplitude Modulation (8-QAM) TCM coded in a $2\mathrm{x}2$ Orthogonal Space-Time Block Code (OSTBC)-Multiple Input Multiple Output (MIMO) system over Additive White Gaussian Noise (AWGN) and fading channels. The study ...

Jun 11, 2016 · Bit Error Rate Binary Phase Shift Keying BER 8PSK

Assuming that you have the correct formula for the BER (which is probably based on the assumption that a Gray code is used), then - as mentioned by MBaz in a comment - you would have to invert the $Q$ function, which is a problem for which no analytic solution exists.