Variable | Description |
---|---|
Key variables for no-reporting-error scenario | |
() | Probability that channel j is available (or not available) |
() | Probability of detection (false alarm) experienced by SU i for channel j |
() | Probability of detection (false alarm) for channel j under SDCSS |
εij, γij | Detection threshold, signal-to-noise ratio of the PU’s signal |
τij, τ | Sensing time at SU i on channel j, total sensing time |
N0, f s | Noise power, sampling frequency |
a j , b j | Parameters of a-out-of-b rule for channel j |
N, M | Total number of SUs, total number of channels |
, | Set of SUs that sense channel j, set of all N SUs |
, | Set of assigned channels for SU i, set of all M channels |
| Particular set k of l SUs |
| Set l0 of k0 actually available channels |
, | Set l1 of k1 available channels (which are indicated by sensing outcomes), |
Set l2 of k2 misdetected channels (which are indicated by sensing outcomes) | |
| Normalized throughput per one channel |
, | Conditional throughput: for one particular realization of sensing outcomes corresponding to two sets and , for a particular channel j2 |
n j , k e | Number of SUs who select channel j to access, |
T, TR | Cycle time, total reporting time |
TS, | Time for transmission of packet, time for successful RTS/CTS transmission |
() | i th duration between two consecutive RTS/CTS transmission on channel j (its average value) |
TC, | Duration of collision, average contention time on channel j |
PD | Propagation delay |
PS, ACK | Lengths of packet and acknowledgment, respectively |
SIFS, DIFS | Lengths of short time interframe space and distributed interframe space, respectively |
RTS, CTS | Lengths of request-to-send and clear-to-send, respectively |
p, | Transmission probability, probability of a generic slot corresponding to collision |
, | Probabilities of a generic slot corresponding to successful transmission, idle slot |
() | Number of collisions before the first successful RTS/CTS exchange (its average value) |
, | PMFs of , |
Key variables as considering reporting errors | |
| Probability of reporting errors between SUs i1 and i2 |
() | Probabilities of detection (false alarm) experienced by SU i1 on channel j with the sensing result received from SU i2 |
| l1th set of k1 SUs whose sensing outcomes indicate that channel j3 is vacant |
| l2th set of k2 SUs whose sensing outcomes indicate that channel j4 is vacant due to misdetection |
| l3th set of k3 SUs in who correctly report their sensing information on channel j3 to SU i4 |
| l4th set of k4 SUs in who incorrectly report their sensing information on channel j3 to SU i4 |
| l5th set of k5 SUs in who correctly report their sensing information on channel j4 to SU i9 |
| l6th set of k6 SUs in who incorrectly report their sensing information on channel j4 to SU i9 |
, | Sets of actually available channels and available due to sensing and/or reporting errors, respectively |
, | , |
, | , |
, kmax | , |
, Ψa | Set of SUs whose SDCSS outcomes indicate that channel j is available, |
N j , Nmax | , Nmax=∣Ψa∣ |
, | Conditional throughput for one particular realization of sensing outcomes and for a particular channel j2, respectively |