I think that $2$ is because the QPSK symbol consists of two bits. But why can the bit error rate be equal to the symbol error rate divided by the number of bits per symbol?

However,the symbol consist of many bits too. e.g.symbol "0" = 000,symbol "7"=111,they all consist of three bits,so what is the difference between frame error rate (FER) and symbol error rate (SER)?

Required to find symbol error rate vs $E_b/N_0$ for 4QAM, 16QAM & 32QAM. Thought that SER & BER are the same but did my research to find that BER is $1/\log_2 (M)$ of SER.

May 3, 2012 · Anyway I am referring to QAM modulation used in US Cable TV. I know it comes under Annex B which is related to FEC. I know that 64 QAM has a symbol rate ~= 5057000 Symbols/s and …

The theoretical symbol error rate for 4-QAM is not $Q (\sqrt {2E_b/N_0})$; that's the bit error rate. The $2$-bit 4-QAM symbol can have zero or one or two bit errors ...

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 …

Dec 12, 2017 · For $16$-QAM it is possible to derive an exact expression for the error probabilities $P [E|s_i]$ (and hence for the symbol error probability $P_E$). You can find the derivation in most …

Dec 8, 2021 · This explains the difference in Symbol Error Rate between QPSK and BPSK (BPSK has a 3 dB better SER), but since QPSK sends 2 bits per symbol we get the same BER.

Apr 17, 2009 · I want to know is symbol error rate the same as BER?? Symbol error probabilty curve is a graph of what vs what ?? What all data I require to plot a curve of BER vs SNR??

Finally, note that you need the bit error rate, which is not the same as the symbol error rate. The mapping of bits to symbols will have an influence on the bit error rate.