Theoretical Analysis of an Inverse Radon Transform Based Multicomponent Micro-Doppler Parameter Estimation Algorithm

Shrikant Sharma, Adway Girish, Nikhar P. Rakhashia, Vikram M. Gadre, Shaan Ul Haque, Aseer Ansari, Ram Bilas Pachori, P. Radhakrishna, Peeyush Sahay

Abstract: In this paper, we perform a theoretical analysis of an inverse Radon transform-based micro-Doppler parameter es-timation algorithm. For a multicomponent micro-Doppler signal, no mathematical expression was proposed in this algorithm to find the number of frequency terms to be dropped for efficient elimination of estimated micro-Doppler components. Hence, we first derive an expression for the number of frequency terms to set to zero for efficient elimination of estimated micro-Doppler components by exploiting standard Bessel function properties. We verify our result through simulations with up to three targets, even in the presence of noise. We also provide an analysis of the limiting performance of the algorithm for two targets as the parameters are made close to each other.