Generalised parametric Rao test for multi-channel adaptive detection of range-spread targets

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Generalised parametric Rao test for multi-channel adaptive detection of range-spread targets

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This study considers the problem of detecting a multi-channel signal of range-spread targets in a homogeneous environment, where the disturbances in both test signal and training signals share the same covariance matrix. To this end, a generalised parametric Rao (GP-Rao) test is developed by modelling the disturbance as a multi-channel auto-regressive process. The GP-Rao test uses less training data and is computationally more efficient, when compared with conventional covariance matrix-based solutions. The theoretical detection performance of the GP-Rao test is characterised in terms of the asymptotic distribution under both hypotheses. Numerical results indicate that the proposed GP-Rao test attains asymptotically the constant false alarm rate property. Numerical results show that the GP-Rao test achieves better detection performance and uses significantly less training signals than the covariance matrix-based approach.

Inspec keywords: covariance matrices; autoregressive processes; statistical distributions; object detection; statistical testing; adaptive signal detection

Other keywords: multichannel autoregressive process; covariance matrix; generalised parametric Rao test; asymptotic distribution; multichannel adaptive detection; test signal; homogeneous environment; training signal; GP-Rao test; constant false alarm rate property; range-spread target detection; multichannel signal detection

Subjects: Signal detection; Algebra; Signal processing theory; Other topics in statistics; Other topics in statistics; Algebra

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