Compressed sensing with linear correlation between signal and measurement noise
نویسندگان
چکیده
منابع مشابه
Compressed sensing with linear correlation between signal and measurement noise
Existing convex relaxation-based approaches to reconstruction in compressed sensing assume that noise in the measurements is independent of the signal of interest. We consider the case of noise being linearly correlated with the signal and introduce a simple technique for improving compressed sensing reconstruction from such measurements. The technique is based on a linear model of the correlat...
متن کاملImpulsive noise rejection method for compressed measurement signal in compressed sensing
The Lorentzian norm of robust statistics is often applied in the reconstruction of the sparse signal from a compressed measurement signal in an impulsive noise environment. The optimization of the robust statistic function is iterative and usually requires complex parameter adjustments. In this article, the impulsive noise rejection for the compressed measurement signal with the design for imag...
متن کاملA Reconstruction Algorithm for Compressed Sensing Noise Signal ?
The novel theory of Compressed Sensing (CS) reduces the samples of compressible signal sharply by information sampling. In order to improve reconstruction accuracy of noise signal for CS, a Singular Value Decomposition (SVD) noise signal reconstruction algorithm is presented in this paper. This algorithm decomposes the random measurement matrix, modifies the diagonal matrix Eigen values by mean...
متن کاملNoise driven compressed sensing method for space time signal processing
In contrary to the existing work related with compressed sensing based STAP technique, which adopts the original sensing matrix, the proposed noise driven compressed sensing method is to construct a new sensing matrix with weak coherence through incorporating the measurement noise. The proposed method tries to build an equivalent system of the classical model in compressed sensing, resulting in...
متن کاملQuasi-linear Compressed Sensing
Inspired by significant real-life applications, in particular, sparse phase retrieval and sparse pulsation frequency detection in Asteroseismology, we investigate a general framework for compressed sensing, where the measurements are quasi-linear. We formulate natural generalizations of the well-known Restricted Isometry Property (RIP) towards nonlinear measurements, which allow us to prove bot...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Signal Processing
سال: 2014
ISSN: 0165-1684
DOI: 10.1016/j.sigpro.2013.10.021