access icon free Interferometric angular velocity measurement of rotating blades: theoretical analysis, modeling and simulation study

Doppler radar can only measure the radial velocity of a moving object. If an object is moving along a curved path, when its radial velocity decreases, the angular velocity must increase. Thus, if the angular velocity can be measured, the problem caused by little or no radial velocity can be solved. In this paper, we provide detailed theoretical analysis and establish the mathematical model of the interferometric frequency shifts of rotating blades. We first analyze the instantaneous frequency of a SINC function, which comprises a pair of sinusoidals and a train of strong spectrum lines. Then, we utilize the convolution theory in time-frequency domain to calculate the interferometric frequency shifts of rotating blades. Simulation results manifest that some important parameters and features of rotating blades, such as blade length, rotating rate and blade number, can be accurately estimated from the time-varying interferometric frequency signatures.

Inspec keywords: angular velocity measurement; radar signal processing; Doppler measurement; convolution; radar theory; Doppler radar; blades; radar interferometry; time-frequency analysis

Other keywords: simulation study; time-frequency domain; interferometric frequency shifts; blade length; moving object radial velocity; curved path; strong spectrum lines; SINC function; instantaneous frequency; blade number; mathematical model; interferometric angular velocity measurement; rotating blades; time-varying interferometric frequency signatures; convolution theory; Doppler radar

Subjects: Radar equipment, systems and applications; Radar theory; Velocity, acceleration and rotation measurement; Signal processing and detection; Mathematical analysis

http://iet.metastore.ingenta.com/content/journals/10.1049/iet-rsn.2018.5205
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