Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
Design of hybrid filter banks for analog/digital conversion
IEEE Transactions on Signal Processing
Optimized Projections for Compressed Sensing
IEEE Transactions on Signal Processing
Sampling signals with finite rate of innovation
IEEE Transactions on Signal Processing
An oversampled channelized UWB receiver with transmitted reference modulation
IEEE Transactions on Wireless Communications
Decoding by linear programming
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
IEEE Transactions on Information Theory
On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems of Equations
IEEE Transactions on Information Theory
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In this paper, we propose a low-rate high-resolution ranging method for UWB (up to several GHz of sampling rate) ranging system. It exploits compressed sensing (CS) theory and a parallel sampling ADCs structure based on random projection (PSRP). To guarantee the effective application of CS on the received signal, we construct a dictionary in which the atoms are time-shifted versions of the transmitted signal. Hence the received signal can be low-rate sampled by PSRP. For an UWB ranging system using PSRP instead of the newly proposed analog-to-information converter, it possesses the universality of dictionary atoms, lower sampling rate and better performance for noisy signal. Additionally, since the dictionary size in this work can be adjusted flexibly, a desired high resolution can be achieved. The simulation results confirm these advantages via a noisy received signal (SNR=16 dB) which contains five target echoes. Though the received signal is sampled at less 10% of Nyquist rate, the probability of echo detection is over 95% and the distance resolution reaches the optimal of the conventional ranging method.