Energy detection based cognitive radio has gained remarkable attention. This is because of its simple implementation and it does not involve any prior knowledge of the detecting signal. Although, it is prone to noise uncertainty. Recently, the use of compressed measurements improved the performance of energy detection. In this paper, we investigate the effect of using a segment of primary user signal energy ƞE on detection performance regarding compression ratios. The simulation results show the detector performance becomes better as ƞE increased. However, increasing ƞE should be bounded, so it does not involve sacrificing the use of the compressed measurement system as a suggestion to improve energy detection performance.