The Blitz-Boot Approach: Improving the Accuracy of Joint Direction-of-Arrival and Frequency Estimation

We propose the Block-Toeplitz Bootstrap method, which we have named the Blitz-Boot, and apply it to improve the estimation of Direction of Arrival (DOA) and frequency estimation in compressed sensing applications. This method employs a joint frequency-DOA estimation approach based on the Finite Rate of Innovation (FRI) principle. Empirical results reveal that Blitz-Boot enhances this estimation process. We present accuracy metrics for various block lengths and across different Signal to Noise Ratios (SNRs), demonstrating that the Blitz-Boot method notably improves performance, especially in environments characterized by lower SNRs. Furthermore, we provide a performance comparison with the Cramér-Rao Lower Bound, underscoring the efficacy of our proposed method.