Qualcomm Incorporated

Thierry Blu

Martin Vetterli

Pina Marziliano

Lionel Coulot

The present invention relates to a method of processing a signal which is received by a receiver, comprising, obtaining an analog signal (y) based on another signal (x) and noise; defining a sampling kernel based on the noise; and using the sampling kernel to obtain at least one sample (y) from the analog signal (y). The invention also relates to a corresponding apparatus; computer program product; headset; watch, and sensing device.

Sparse sampling of signal innovations

A method of signal processing, comprising: obtaining a digital signal (y) based on another signal (x) and noise; and estimating information relating to the another signal (x) by using a denoising process to produce a denoised signal (y') and by processing the denoised signal (y&#x2032;), wherein the denoised signal (y&#x2032;) produced by the denoising process has a substantially Finite Rate of Innovation.

Reconstruction method for reconstructing a first signal (x(t)) regularly sampled at a sub-Nyquist rate, comprising the step of retrieving from the regularly spaced sampled values (y[n], y(nT)) a set of weights (c, c, c) and shifts (t, t) with which said first signal (x(t)) can be reconstructed. The reconstructed signal (x(t)) can be represented as a sequence of known functions (&#x3b3;(t)) weighted by the weights (c) and shifted by the shifts (t). The sampling rate is at least equal to the rate of innovation (&#x3c1;) of the first signal (x(t)).

Sampling method, reconstruction method, and device for sampling and/or reconstructing signals

Reconstruction method for reconstructing a first signal (x(t)) regularly sampled at a sub-Nyquist rate, comprising the step of retrieving from the regularly spaced sampled values (y, y(nT)) a set of weights (c, c, c) and shifts (t, t) with which said first signal (x(t)) can be reconstructed. The reconstructed signal (x(t)) can be represented as a sequence of known functions (&#x3b3;(t)) weighted by the weights (c) and shifted by the shifts (t). The sampling rate is at least equal to the rate of innovation (&#x3c1;) of the first signal (x(t)).

A reconstruction method for reconstructing a first signal from a set of sampled values generated by sampling a second signal at a sub-Nyquist rate and at uniform intervals, the method includes retrieving from the set of sampled values a set of shifts and weights with which the first signal can be reconstructed.

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Lausanne, Switzerland

Thierry Blu