qampy.theory#

Functions for calculating analytic properties of communication signals.

Functions

`ber_vs_es_over_n0_qam`(snr, M)	Bit-error-rate vs signal to noise ratio after formula in _[1].
`ber_vs_evm_qam`(evm_dB, M)	Calculate the bit-error-rate for a M-QAM signal as a function of EVM.
`bin2gray`(value)	Convert a binary value to an gray coded value see _[1].
`cal_gmi`(M, snr[, N])	Calculate the soft-decision GMI for a given modulation format based on a Monte-Carlo method.
`cal_ps_probablts`(symbols, nu)	Calculate probabilities for probabilistic constellation shaping of symbols
`cal_scaling_factor_qam`(M)	Calculate the scaling factor for normalising MQAM symbols to 1 average Power
`cal_symbols_cross_qam`(M)	Generate the symbols on the constellation diagram for non-square (cross) M-QAM
`cal_symbols_psk`(M)	Generate M-PSK symbols
`cal_symbols_qam`(M)	Generate the symbols on the constellation diagram for M-QAM
`cal_symbols_square_qam`(M)	Generate the symbols on the constellation diagram for square M-QAM
`dB2lin`(x)	Convert input from dB(m) units to linear units
`generate_ps_symbols`(N, symbs, px[, normalize])	Generate a set of probabilistically shaped symbols
`gray_code_qam`(M)	Generate gray code map for M-QAM constellations
`hybrid_qam_ber_vs_esn0`(snr, pr, fr, M1, M2)	Calculate bit error rate as function of SNR for time-domain hybrid QAM (according to _[1]).
`q_function`(x)	The Q function is the tail probability of the standard normal distribution see _[1,2] for a definition and its relation to the erfc.
`ser_vs_es_over_n0_4pam`(snr)	Calculate the symbol error rate (SER) of an 4-PAM signal as a function of Es/N0 (Symbol energy over noise energy, given in linear units
`ser_vs_es_over_n0_psk`(snr, M)	Calculate the symbol error rate (SER) of an M-PSK signal as a function of Es/N0 (Symbol energy over noise energy, given in linear units
`ser_vs_es_over_n0_qam`(snr, M)	Calculate the symbol error rate (SER) of an M-QAM signal as a function of Es/N0 (Symbol energy over noise energy, given in linear units.
`sim_mi_mc`(symbols, snr, N)	Perform Monte-Carlo simulations of AWGN Mutual Information.