Abstract: A device and method for estimating multipath jointly sparse channels. The method comprises receiving a number K of signal components by a number P of receiving antennas, where P?2. The method further comprises estimating the sparsity condition of the multipath jointly sparse channels. The method further comprises, if the sparsity condition is not satisfied, estimating the channels by using a non-sparse technique. The method further comprises, if the sparsity condition is satisfied, estimating the channels by using a sparse technique.

Abstract: Certain aspects of the present disclosure relate to a method for quantizing an analog received signal in a low-power body area network (LP-BAN) by using a limited number of quantization bits, while information of the received signal is preserved for accurate signal reconstruction. The quantized signal can be equalized in such a way to generate an output equalized signal based on the periodic-sinc function, which is suitable for a subsequent Finite Rate of Innovation (FRI) processing. The noisy equalized signal can be further processed by applying improved (i.e., faster) Cadzow denoising algorithm as a part of the FRI processing.

Abstract: Certain aspects of the present disclosure relate to a method for equalizing a pulse signal corrupted by a noise and by various channel effects for obtaining a signal based on the periodic-sinc pulse, which is suitable for Finite Rate of Innovation (FRI) processing applied at a receiver of a pulse-based communication system (e.g., an Ultra-Wideband receiver).

Abstract: Certain aspects of the present disclosure relate to a method for speeding up the Cadzow iterative denoising algorithm as a part of the Finite Rate of Innovation (FRI) processing and for decreasing its computational complexity.

Abstract: Certain aspects of the present disclosure relate to a method for emulating N-bits uniform quantization of a received pulse signal by using one-bit signal measurements. One method for wireless communications includes receiving a signal transmitted over a wireless channel, wherein the signal comprises a sequence of pulses, applying gain values to the pulses to obtain a binary matrix for each gain value, generating a probability vector for each gain value using the binary matrix obtained for that gain value, and generating an output signal by linearly combining the probability vectors.

Abstract: A device and method for estimating multipath jointly sparse channels. The method comprises receiving a number K of signal components by a number P of receiving antennas, where P?2. The method further comprises estimating the sparsity condition of the multipath jointly sparse channels. The method further comprises, if the sparsity condition is not satisfied, estimating the channels by using a non-sparse technique. The method further comprises, if the sparsity condition is satisfied, estimating the channels by using a sparse technique.

Abstract: According to a first aspect of the present invention there is provided a method of estimating, jointly, a set of multipath channels having a common path support, the method comprising the steps of, estimating jointly the common path support of the set of multipath channels using a spectral estimation technique, estimating path amplitudes, for each channel in the set of multipath channels, using the estimation of the common path support, to obtain an estimate of the set of multipath channels.

Abstract: Embodiments include a method for sending a selected number of pilots (20) to a sparse channel having a channel impulse response limited in time comprising sending the selected number of the pilots (20). The pilots (20) are equally spaced in the frequency domain the number is selected based on the finite rate of innovation of the channel impulse response. Once received the pilots (20), such a channel is estimated by: low-pass filtering (100) the received pilots, sampling (200) the filtered pilots with a rate below the Nyquist rate of the pilots, applying a FFT (300) on the sampled pilots, verifying (500) the level of noise of the transformed pilots, if the level of noise is below to a determined threshold, applying an annihilating filter method (600) to the transformed pilots, and dividing the temporal parameters by the distance (D) between two consecutive pilots.

Abstract: Certain aspects of the present disclosure relate to a method for quantizing an analog received signal in a low-power body area network (LP-BAN) by using a limited number of quantization bits, while information of the received signal is preserved for accurate signal reconstruction. The quantized signal can be equalized in such a way to generate an output equalized signal based on the periodic-sinc function, which is suitable for a subsequent Finite Rate of Innovation (FRI) processing. The noisy equalized signal can be further processed by applying improved (i.e., faster) Cadzow denoising algorithm as a part of the FRI processing.

Abstract: Certain aspects of the present disclosure relate to a method for emulating N-bits uniform quantization of a received pulse signal by using one-bit signal measurements.

Abstract: Certain aspects of the present disclosure relate to a method for speeding up the Cadzow iterative denoising algorithm as a part of the Finite Rate of Innovation (FRI) processing and for decreasing its computational complexity.

Abstract: Certain aspects of the present disclosure relate to a method for equalizing a pulse signal corrupted by a noise and by various channel effects for obtaining a signal based on the periodic-sinc pulse, which is suitable for Finite Rate of Innovation (FRI) processing applied at a receiver of a pulse-based communication system (e.g., an Ultra-Wideband receiver).