Estimating derivatives from noisy displacement data is a notoriously ill-posed problem in
signal processing and biomechanics. Following the work of Wood and Jennings (1978) and …

An algorithm is developed to define, from the data samples themselves, a frequency-
weighted norm to use in minimum-weighted-norm extrapolation. The iterative procedure …

Analyze the performance of an iterative algorithm, similar to the discrete Papoulis-Gerchberg
algorithm, and which can be used to recover missing samples in finite-length records of …

This chapter discusses a class of iterative and noniterative methods for the reconstruction of
partially known band-limited signals. Band-limiting is equivalent to the vanishing of a known …

The problem of extrapolating a band-limited signal in discrete time is viewed as one of
solving an underdetermined system of linear equations. Choosing the minimum norm least …

In this correspondence we study the band-limited interpolation and extrapolation problems
for finite-dimensional signals. We show that these problems can be easily reduced to the …

We deal with iterative least-squares solutions of the linear signal-restoration problem g= Af.
First, several existing techniques for solving this problem with different underlying models …

We have studied the method of projections on to convex sets (POCS) for the restoration of
three‐dimensional signals, especially applied for the degraded information obtained in three …

The increasing number of vehicles brings ubiquitous connectivity and huge information
interaction, implementing with limited spectrum resource. Focusing on the higher spectral …

In the present work, a method of alternating orthogonal projections is described in the
context of near-field acoustical holography; it allows missing (or “not measured”) data to be …