Authorized user frequency spectrum pricing method based on Bertrand static game
A technology of authorized users and spectrum pricing, applied in the field of authorized user spectrum pricing, it can solve the problems of high algorithm complexity, such as the design of the benefit function of authorized users, and achieve the effect of reducing complexity, simple algorithm, and efficient utilization.
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specific Embodiment approach 1
[0013] Specific implementation mode one: combine figure 1 Illustrate this specific embodiment, the authorized user spectrum pricing method based on Bertrand static game in the cognitive radio system, it is realized by the following steps:
[0014] Step 1. According to the spectrum demand function of the cognitive user to the authorized user, the demand matrix of the cognitive user is obtained;
[0015] Step 2. Based on the demand matrix obtained in Step 1, use the residual value theory to establish a cognitive user benefit function;
[0016] Step 3. According to the cognitive user benefit function described in step 2, obtain the spectrum demand function of the cognitive user for the licensed user;
[0017] Step 4. On the basis of the first three steps, design the benefit function of authorized users. Firstly, consider the spectrum income of authorized users, and secondly, consider the loss caused by the authorization due to spectrum sales, so as to obtain the benefit function...
specific Embodiment approach 2
[0021] Specific implementation mode two: this implementation mode is a further description of specific implementation mode one, and the specific process of step one is as follows:
[0022] In the cognitive radio system, the whole system is considered as a differentiated multi-oligopoly market model, where there are IV oligarchs, namely authorized users, and M consumers, namely cognitive users, p i Spectrum price established for licensed user j, q i is the amount of spectrum sold. Cognitive user demand function can be expressed as a linear function, then the spectrum demand of cognitive users to authorized users can be expressed as:
[0023] p j = α j -γ j，1 q 1 -γ j,2 q 2 ...-γ j,i q i -γ j,N q N ;
[0024] In the formula, α j = log 2 (1+K·SNR j ); K is the spectrum gap; SNR j is the signal-to-noise ratio; γ j,i Spectrum substitution between authorized users, its value range is: -1≤γ j,i ≤1 when γ j,i =1 means that the licensed user spectrum can be completel...
specific Embodiment approach 3
[0028] Specific implementation mode three: this implementation mode is a further description of specific implementation mode one or two, and the specific process of step two is as follows:
[0029] According to the demand matrix obtained in step 1, the cognitive user benefit function is established using the residual value theory, which can be expressed as:
[0030] u SU =∫(α-γ·Q)dQ-P·Q Τ ;
[0031] Through further derivation, the cognitive user benefit function expression is as follows:
[0032] U SU ( P ) = Σ j = 1 N α j q j - 1 2 ( Σ i = 1 N ...
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