A novel pulse sequence that enables simultaneous acquisition of T1-weighted (T1W) and T2-weighted (T2W) images is presented. In this new technique, the inversion recovery (IR) pulse of conventional fast inversion recovery (Fast IR) is replaced with a pulse train that consists of a fast spin echo (FSE) and 180 (y) +90 (x) for driven inversion (DI). By using a shorter TI and independent k-space o...

This thesis proposes and studies novel modifications to the least mean squares (LMS) and weighted recursive least squares (WRLS or weighted RLS) adaptive algorithms to estimate the impulse response of a wireless communications channel blindly without the aid of a training or probe sequence. Specifically, we use knowledge of receiver decision quality to weight the LMS and WRLS estimators to incr...

This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.

Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Given a spectrum for a desired fusion frame operator and dimensions for subspaces, one existing method for creating unitweight fusion frames with these properties is the flexible a...