Project Description

This project will investigate the unique mathematical properties of maximal-length, Pseudo -Noise (PN) codes generated by a linear feedback shift register, and how these properties can be capitalized on for a new approach to remote sensing. Two optical or microwave/THz transmitters will be used to broadcast mutually-coherent, wideband, time-shifted binary-phase-shift-keyed (BPSK) modulated PN-code waveforms that produce overlapping illumination of a region to be imaged. Scatterers that are illuminated by both transmitters backscatter both signals to a square-law receiver where they interfere, and the interferometric product between the BPSK PN-codes produce an intensity-modulated, substantially-delayed replica of the transmitted PN code. The angle away from center line determines the time-difference-of-arrival (TDOA), and the detected PN-code interferometric product is time shifted through the Galois-field multiply-and-shift property of PN codes, while variations of the range provide small time shifts within each segment. This allows the measurement of the TDOA angle and range simultaneously through circulant PN-code correlation.(in non-contiguously interspersed segments). 

Special Requirements

Facility with either IDL, Matlab, or Python for doing efficient numerical simulations and producing high quality graphical results.
An interest in laboratory experimental techniques, high speed electronics and photonics, and remote sensing and imaging technology. 

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