Abstract
The order of Hadamard matrix is a particular value. However, the number of the pulsar profile interval is unconditional. To solve this problem, a similar Hadamard-based compressive sensing is proposed and applied to the pulsar Time-of-Arrival (TOA) estimation. In this method, a similar Hadamard is developed. Similar to Hadamard matrix, the similar Hadamard matrix has zero-mean and non-relevance. Moreover, different from Hadamard matrix, the order of the similar Hadamard matrix is an unconditional positive integer. In the similar Hadamard-based compressive sensing, the similar Hadamard matrix is utilized as the observation matrix, which solves the problem that the order of Hadamard matrix does not match the number of the pulsar profile interval. We apply the similar Hadamard-based compressive sensing in the pulsar TOA estimation. Simulation results show that compared with the two-stage compressive sensing method, this algorithm effectively reduces the error of pulse TOA estimation and is easy to implement in hardware, which is more consistent with the actual situation.
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