Signal Detection Theory

Signal Processing by Generalized Receiver in DS-CDMA Wireless Communications Systems

“…In this section, we use the Price's theorem [49,50] to derive a range of the optimal PCF for the first stage in PPIC of DS-CDMA wireless communication system with multipath fading channel employing GR based on GASP [1][2][3], where the lower and upper boundary values of the PCF can be explicitly calculated from the processing gain and the number of users of DS-CDMA wireless communication system in the case of periodic code scenario. Computer simulation shows that, using the average of these two boundary values as the PCF for the first stage, we are able to reach the bit error rate (BER) performance that is very close to the potentially achieved one [51] and surpasses the BER performance of the real PCF for DS-CDMA wireless communication systems discussed, for example, in [43].…”

“…The main idea is to use the generalized approach to signal processing (GASP) in noise in wireless communication systems [1][2][3]. The generalized approach is based on a seemingly abstract idea: the introduction of an additional noise source that does not carry any information about the signal and signal parameters in order to improve the qualitative performance of wireless communication systems.…”

Generalized Approach to Signal Processing in Wireless Communications: The Main Aspects and some Examples

“…In this model, we use the following notations: MSG is the model signal generator (the local oscillator), the AF is the additional filter (the linear system) and the PF is the preliminary filter (the linear system) A detailed discussion of the AF and PF can be found in (Tuzlukov, 2001 andTuzlukov, 2002). …”

“…the likelihood functional taking into consideration subsection 3.1 and (Tuzlukov, 2001) (Poor, 1988). In order to evaluate the above functional, we introduce the substitution…”

“…It is worth pointing out that both GDs are akin to the "square-law combiner" (Tuzlukov, 2001) GD that is well known to be the optimum GD in GASP (Tuzlukov, 2005 andTuzlukov, 2012) viewpoint for array signal detection in Rayleigh flat-flat fading channels and Gaussian noise. The relevant difference is due to the presence of short-term noise PSDs 1 ,, P ZZ  which weigh the contribution from each diversity branch.…”