Continuous Wave Signal Detection Based on Weight Vector under Colored Gaussian Noise

Abstract

Signal detection under colored Gaussian noise needs pre-white processing. In view of this, a signal detection method based on a weight vector was proposed. Firstly, the test statistics were constructed based on the weight vector, and its detection performance was analyzed. On this basis, the optimal weight vector under the N-P criterion was derived, and its equivalence with the generalized matched filter was proved. By constructing a suitable weight vector, it was proved that there was no need for prewhitening when continuous wave signals were detected in big data records, which significantly improved the detection efficiency. The simulation results verify the effectiveness of the detection method.

Keywords

• colored gaussian noise
• weight vector
• signal detection
• continuous wave signal
• prewhitening