Spectral efficiency and error-exponents of randomly-spread CDMA with linear multiuser receivers over multipath Rayleigh fading channels

We analyze the spectral efficiency - sum-rates capacity per temporal degrees of freedom - and error-exponents of the uplink of randomly-spread CDMA systems with diversity-combining linear multiuser receivers over time-varying frequency-selective multipath Rayleigh fading channels. Assuming equal-rate/equal-energy identical users and statistically identical channels for each user, the analysis of the closed-form spectral efficiency and the corresponding sum-rates error-exponent expressions in terms of the key system parameters for both the correlated-waveform vector multi-access channel model with optimum joint-ML multiuser decoding as well as with the linear RAKE, decorrelating and MMSE multiuser receivers followed by suboptimal single-user ML decoding sheds light on to asymptotic system behaviour of large-dimensional channel-coded CDMA systems with linear multiuser receivers over multipath Rayleigh fading channels.