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We present in this section the results of maximizing achievable rates for PtP case using M-PAM constellations with M=4,8,16 and for different values of SNR.

Now, we will describe in details the Joint STF spreading block shown in Figure 1b, where the signal is first spread in space, followed by time spreading and then time-frequency mapping is applied to ensure signal independency when transmitted and hence maximizing achievable diversity [14] on the receiver side.

Under these assumptions and Gaussian noise model, we find the optimal resource allocation, namely, the optimal power and time slot allocation, at the source and relay nodes that maximizes achievable rate, or minimizes the total transmitted power for both ODF and OAF.

This approximation is shown to be asymptotically optimal in the sense of maximizing the achievable rate.

Many existing works on throughput-based spectrum sensing focus on maximizing the achievable throughput.

Then, the optimal gain partitioning approach, maximizing the achievable rates, is determined.

By maximizing the achievable rate (12), the joint power allocation problem can be established as (13).

Next, we study and solve the problem of resource allocation aiming at maximizing the achievable sum-rate.

By maximizing the achievable system rate, a constrained optimization problem is first formulated to jointly allocate powers for the source and relay terminals.

However, aiming at maximizing the achievable network throughput leads to tight requirements on cooperative spectrum sensing parameters (e.g., spectrum sensing time and number of cooperating devices).

Third, the optimal sensing interval maximizing the achievable throughput for secondary users is suggested with additional consideration of the interference ratio constraint.