An optimal reconstruction of sampled signals

Reconstruction of Randomly Sampled Sparse Signals Using an Adaptive Gradient Algorithm

Sparse signals can be recovered from a reduced set of samples by using compressive sensing algorithms. The case when available samples are a random subset of a uniformly or nonuniformly sampled signal is considered in this paper. A recalculation procedure is used to reconstruct the nonuniformly sampled signal. Signal recovery is done using an adaptive gradient-based algorithm in the time domain...

Reconstruction of nonuniformly sampled bandlimited signals by means of digital fractional delay filters

This paper considers the problem of reconstructing a class of nonuniformly sampled bandlimited signals of which a special case occurs in, e.g., time-interleaved analog-to-digital converter (ADC) systems due to time-skew errors. To this end, we propose a synthesis system composed of digital fractional delay filters. The overall system (i.e., nonuniform sampling and the proposed synthesis system)...

Optimal Sampled-data Control

Reconstruction of Nonuniformly Sampled Bandlimited Signals by Means of Time-Varying Discrete-Time FIR Filters

This paper deals with reconstruction of nonuniformly sampled bandlimited continuous-time signals using time-varying discretetime finite-length impulse response (FIR) filters. The main theme of the paper is to show how a slight oversampling should be utilized for designing the reconstruction filters in a proper manner. Based on a time-frequency function, it is shown that the reconstruction probl...

EFFICIENT RECONSTRUCTION OF TWO-PERIODIC NONUNIFORMLY SAMPLED SIGNALS APPLICABLE TO TIME-INTERLEAVED ADCs

Nonuniform sampling occurs in many practical applications either intentionally or unintentionally. This thesis deals with the reconstruction of two-periodic nonuniform signals which is of great importance in two-channel timeinterleaved analog-to-digital converters. In a two-channel time-interleaved ADC, aperture delay mismatch between the channels gives rise to a two-periodic nonuniform samplin...