Simple, effective estimation of frequency based on Prony's method

We address the design of hardware-efficient digital implementations for the estimation of sinusoidal frequency from noisy data. We are motivated by the design of digital microwave receivers with high sample rates, which thus require simple processing to be cost-effective. By a controlled introduction of potential ambiguities and by use of formulas for the noise-free Prony (1795), or linear prediction coefficients, we provide several novel approaches to simple, effective frequency estimation.