Abstract
In this paper, we introduce a new metric, namely, effective area spectral efficiency (EASE), to quantify the spectral efficiency as well as the spatial properties of point-to-point transmission systems and decode and forward (DF) relaying communications networks with interference management. For each transmission mode, we derive a closed-form expression for the maximum transmission range under Rayleigh fading environment. Based on the maximum transmission range, we define and derive the average affected area and the average ergodic capacity. We then introduce the EASE expression to quantify the spatial spectral utilization efficiency. For DF relaying, the EASE metric is based on a newly introduced index, namely, source relay communication index (SRCndx). SRCndx is used to validate the communication possibility between a source and a relay for given transmission parameters in a given environment and provides information about the necessity of using relaying communications. Through mathematical analysis and numerical examples, we show that the EASE metric provides a new perspective on the design of wireless transmissions, especially the transmission power selection process.
Highlights
The primary goal of new wireless communication systems is to support high-data-rate transmissions over limited radio spectrum with minimum amount of power consumption [1, 2]
As we will show later in the simulation results, without transmission power constraints, there are some power values for a given distance between a source and a destination where the communication cannot be completed with respect to a minimum threshold received power. Those values should not be used in the maximization of general area spectral efficiency (GASE), and this is not the case in [3, 15], and [16]. To prevent such kind of problems, we present in this paper a new robust and effective metric of area spectral efficiency for direct link (DL) and decode and forward (DF) communication systems
Based on the performance comparison with GASE presented in [3, 15], and [16], and through the analytical results and numerical examples, we show that the effective area spectral efficiency (EASE) metric provides a new perspective on the design of wireless transmissions, especially on the transmission power selection
Summary
The primary goal of new wireless communication systems is to support high-data-rate transmissions over limited radio spectrum with minimum amount of power consumption [1, 2]. The expressions of EASE metric and SRCndx index for DF relaying communications with interference management schemes are derived in the “Effective area spectral efficiency for DF communications” section. EASE is based on the total affected area by the source and the relay, the average ergodic capacity, and the SRCndx parameter that will be introduced later. Based on those scenarios, the average ergodic capacity of the two users for the different schemes are derived as follows. Based on the expressions of the average ergodic capacity for each scheme S ∈ {HDR, ICRS, BRUS}, the average affected area, and the SRCndx, the new EASES metric is introduced as follows: EASES. SRCndx defines the range of transmission power, where cooperative transmission is needed, and
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