Abstract: Method for decoding a signal sent over a bandwidth-expanding communication system, where both channel estimation and signal detection are carried out on a set of samples generated by sampling the received signal at a sub-Nyquist rate, thus allowing for a significant reduction of the complexity of the sampling device of receivers using said method, as well as a significant reduction of their computational requirements.

Abstract: Method for decoding a signal sent over a bandwidth-expanding communication system, where both channel estimation and signal detection are carried out on a set of samples generated by sampling the received signal at a sub-Nyquist rate, thus allowing for a significant reduction of the complexity of the sampling device of receivers using said method, as well as a significant reduction of their computational requirements.

Abstract: The system and method for estimating impulse response of a wideband communication channel represented as linear combination of L time-shifted pulsed P1(t) with propagation coefficients a1, comprising functionalities or steps for obtaining an ultrawideband signal (y(t) of FIG. 1) received over the channel, filtered (h(1) of FIG. 1) with low pass/bandpass filter and sampled uniformly at a sub-Nyquist rate; a functionality for determining discrete-Fourier-transform coefficients Yj and Sj (FFT of FIG. 1) from the sampled received signal and a transmitted ultra-wide-band pulse, respectively; a functionality for determining dominant singular vectors of a matrix having Yj+l4 /Sj+i4, as its i, j-elements; a functionality for estimating a plurality of powers of signal poles from the dominant singular vectors and determining the times shifts from the estimated powers; and a functionality for determining the propagation coefficients from a system of linear equalizations.

Abstract: Reconstruction method and devices for two-dimensional signals that are not bandlimited but have a parametric representation with a finite number of degrees of freedom. The signal is reconstructed from the samples obtained after a suitable filtering with a smoothing kernel. Projection techniques allow reducing the problem to a combination of one-dimensional subproblems.