Parameter estimation of 2D polynomial phase signals using NU sampling and 2D CPF

Parameter estimation of 2-D random amplitude polynomial-phase signals

Amplitude Polynomial Phase Signals Joseph M. Francos and Benjamin Friedlander Abstract Phase information has fundamental importance in many two-dimensional signal processing problems. In this paper we consider two-dimensional signals with random amplitude and a continuous deterministic phase. The signal is represented by a random amplitude polynomial-phase model. A computationally e cient estim...

Parametric Methods Comparisons for Parameter Estimation of Polynomial Phase Signals

Parameter estimation of polynomial phase signals (PPSs) is of great interest in various practical applications. In this paper, parametric methods for parameter estimation of polynomial phase signals are discussed and compared. The suboptimal maximum likelihood estimation methods, such as the high-order ambiguity function (HAF) and the product HAF (PHAF) are presented. The polynomial time freque...

Maximum Likelihood Estimation of Co-channel Multicomponent Polynomial Phase Signals Using Importance Sampling

Unlike some traditional polynomial phase signal (PPS) parameter estimation methods restricted to monocomponent case, this paper focuses on the parameter estimation of multicomponent PPSs mixed in a single channel, which is more sophisticated and always involves the cross-term issue. In this investigation, based on the model of multicomponent PPSs in additional white Gaussian noise, we partition...

Seismic Data Up-sampling beyond Aliasing Using Polynomial Phase Signals

Further Results on Spectrum Blind Sampling of 2D Signals

We address the problem of sampling of 2D signals with sparse multi-band spectral structure. We show that the signal can be sampled at a fraction of the its Nyquist density determined by the occupancy of the signal in its frequency domain, but without explicit knowledge of its spectral structure. We nd that such a signal can almost surely be reconstructed from its multi-coset samples provided th...