Abstract: The reconstruction from sparse-view projections is one
of important problems in computed tomography (CT) limited by
the availability or feasibility of obtaining of a large number of
projections. Traditionally, convex regularizers have been exploited
to improve the reconstruction quality in sparse-view CT, and the
convex constraint in those problems leads to an easy optimization
process. However, convex regularizers often result in a biased
approximation and inaccurate reconstruction in CT problems. Here,
we present a nonconvex, Lipschitz continuous and non-smooth
regularization model. The CT reconstruction is formulated as a
nonconvex constrained L1 − L2 minimization problem and solved
through a difference of convex algorithm and alternating direction
of multiplier method which generates a better result than L0 or L1
regularizers in the CT reconstruction. We compare our method with
previously reported high performance methods which use convex
regularizers such as TV, wavelet, curvelet, and curvelet+TV (CTV)
on the test phantom images. The results show that there are benefits in
using the nonconvex regularizer in the sparse-view CT reconstruction.
Abstract: This paper addresses the robust stability problem of a class of delayed neutral Lur’e systems. Combined with the property of convex function and double integral Jensen inequality, a new tripe integral Lyapunov functional is constructed to derive some new stability criteria. Compared with some related results, the new criteria established in this paper are less conservative. Finally, two numerical examples are presented to illustrate the validity of the main results.
Abstract: Let Gα ,β (γ ,δ ) denote the class of function
f (z), f (0) = f ′(0)−1= 0 which satisfied e δ {αf ′(z)+ βzf ′′(z)}> γ i Re
in the open unit disk D = {z ∈ı : z < 1} for some α ∈ı (α ≠ 0) ,
β ∈ı and γ ∈ı (0 ≤γ 0 . In
this paper, we determine some extremal properties including
distortion theorem and argument of f ′( z ) .
Abstract: In the present paper, we investigate a differential subordination
involving multiplier transformation related to a sector in the
open unit disk E = {z : |z| < 1}. As special cases to our main
result, certain sufficient conditions for strongly starlike and strongly
convex functions are obtained.
Abstract: In this paper a novel method for multiple one dimensional real valued sinusoidal signal frequency estimation in the presence of additive Gaussian noise is postulated. A computationally simple frequency estimation method with efficient statistical performance is attractive in many array signal processing applications. The prime focus of this paper is to combine the subspace-based technique and a simple peak search approach. This paper presents a variant of the Propagator Method (PM), where a collaborative approach of SUMWE and Propagator method is applied in order to estimate the multiple real valued sine wave frequencies. A new data model is proposed, which gives the dimension of the signal subspace is equal to the number of frequencies present in the observation. But, the signal subspace dimension is twice the number of frequencies in the conventional MUSIC method for estimating frequencies of real-valued sinusoidal signal. The statistical analysis of the proposed method is studied, and the explicit expression of asymptotic (large-sample) mean-squared-error (MSE) or variance of the estimation error is derived. The performance of the method is demonstrated, and the theoretical analysis is substantiated through numerical examples. The proposed method can achieve sustainable high estimation accuracy and frequency resolution at a lower SNR, which is verified by simulation by comparing with conventional MUSIC, ESPRIT and Propagator Method.