Performance of an Energy Detector over Channels with Both Multipath Fading and Shadowing

Abstract

This paper analyzes the performance of an energy detector over wireless channels with composite multipath fading and shadowing effects. These effects are modeled by using the and channel models. Closed-form average detection probabilities are derived for both and channel models for the no-diversity reception case. A simple approximation is also derived for large values of energy threshold in the energy detector. The analysis is then extended to cases with diversity receptions including maximal ratio combining (MRC) and selection combining (SC). Analytical results are verified by Monte Carlo simulation and by numerical methods. Receiver operating characteristic (ROC) curves are presented for different degrees of multipath fading and shadowing. Finally, the Rayleigh-lognormal distribution and the distribution are numerically compared, and the validity of the channel model for representing the impact of shadowing on the performance of energy detection is affirmed.

On the Location-Aware Cooperative Spectrum Sensing in Urban Environment

“…In [9], energy detection technique has been tested in an environment of low signal to noise ratio (SNR), while in [14] sequential energy detection was proposed to reduce sensing time. The authors in [15]- [16] studied the performance of energy detection under different channel constraints, such as additive white Gaussian noise (AWGN) and fading channels. Measuring the power of the received signal is the only requirement for energy detection, which then can be compared with a pre-defined threshold [17].…”

“…Spectrum sensing at the SUs is performed using energy detection, which is commonly formulated as a Neyman-Pearson (NP) type binary hypothesis test problem. In such sensing technique, the received signal at each SU and at time t is given by [16]. if channel is free 0 H if channel is busy 1…”

On-board the satellite interference detection with imperfect signal cancellation

“…design a detector with low complexity. The most popular detector, due to its simplicity, is the Energy Detector [5]- [9]. The ED measures the energy of the total received signal and compares it with a properly selected threshold, γ, in order to decide the presence or absence of interference.…”

Unified approach for probability of detection evaluation over generalised fading channels

“…Results pertaining to Rician and Nakagami-m fading were then presented but in terms of infinite series. Beside using the MGF approach with the classical fading models, it has also been used with more generalised fading models in [6], [7], [8], [9], [10], [11] and [12].…”