Finite Population Model for Performance Evaluation Between Narrowband and Wideband Users in the Shared Radio Spectrum

In this paper a theoretical evaluation of channel access availability of narrow and wideband users occupying a common range of frequencies in the radio spectrum is presented. User inter-request and call duration times are taken to be random and exponentially distributed. The number of available frequency channels is fixed. The differentiating feature between narrow and wideband users is the number of frequency channels required by each user to transmit their data. The probability of a given user being blocked from acquiring a spectral channel is determined. It is shown that the degree of blocking experienced by narrowband users can only be maintained by either throttling the offered load or limiting population size of wideband users requesting channel access.