公开(公告)号：US20070143078A1

公开(公告)日：2007-06-21

申请号：US10680833

申请日：2003-10-07

申请人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

发明人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

IPC分类号： G06F15/00

CPC分类号： H04B1/707 ,  H03M1/1285 ,  H03M1/66 ,  H04B2201/70707

摘要： 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 (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t)) can be reconstructed. The reconstructed signal (x(t)) can be represented as a sequence of known functions (γ(t)) weighted by the weigths (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation (ρ) of the first signal (x(t)).

摘要翻译： 一种用于重新构造以次奈奎斯特速率规则采样的第一信号（x（t））的重构方法，包括从规则间隔的采样值（y N s [n]，y（n T ））一组权重（c N，N，C，N，C，C），并且移位（t N n， 可以重构所述第一信号（x（t））。 重构信号（x（t））可以表示为由重量（c）k N加权并且移位了移位（t≠k）的已知函数（gamma（t））的序列 ）。 采样率至少等于第一个信号（x（t））的创新速率（rho）。

公开(公告)号：US08031820B2

公开(公告)日：2011-10-04

申请号：US12814616

申请日：2010-06-14

申请人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

发明人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

IPC分类号： H04L7/00

CPC分类号： H04B1/707 ,  H03M1/1285 ,  H03M1/66 ,  H04B2201/70707

摘要： 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 (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t)) can be reconstructed. The reconstructed signal (x(t)) can be represented as a sequence of known functions (γ(t)) weighted by the weights (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation (ρ) of the first signal (x(t)).

摘要翻译： 一种用于重建以次奈奎斯特速率规则采样的第一信号（x（t））的重建方法，包括从规则间隔的采样值（ys [n]，y（nT））中取出一组权重（cn ，cnr，ck）和可以重建所述第一信号（x（t））的位移（tn，tk）。 重构信号（x（t））可以表示为由权重（ck）加权并且被移位（tk）移位的已知函数序列（γ（t））。 采样率至少等于第一个信号（x（t））的创新速率（＆rgr）。

公开(公告)号：US20100042374A1

公开(公告)日：2010-02-18

申请号：US12542353

申请日：2009-08-17

申请人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

发明人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

IPC分类号： G06F15/00

CPC分类号： H04B1/707 ,  H03M1/1285 ,  H03M1/66 ,  H04B2201/70707

摘要： 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 (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t)) can be reconstructed.The reconstructed signal (x(t)) can be represented as a sequence of known functions (γ(t)) weighted by the weights (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation (ρ) of the first signal (x(t)).

摘要翻译： 一种用于重建以次奈奎斯特速率规则采样的第一信号（x（t））的重建方法，包括从规则间隔的采样值（ys [n]，y（nT））中取出一组权重（cn ，cnr，ck）和可以重建所述第一信号（x（t））的位移（tn，tk）。 重构信号（x（t））可以表示为由权重（ck）加权并且被移位（tk）移位的已知函数序列（γ（t））。 采样率至少等于第一个信号（x（t））的创新速率（＆rgr）。

公开(公告)号：US20100246729A1

公开(公告)日：2010-09-30

申请号：US12814616

申请日：2010-06-14

申请人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

发明人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

IPC分类号： H04L27/06

CPC分类号： H04B1/707 ,  H03M1/1285 ,  H03M1/66 ,  H04B2201/70707

摘要： 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 (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t)) can be reconstructed.The reconstructed signal (x(t)) can be represented as a sequence of known functions (γ(t)) weighted by the weigths (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation (ρ) of the first signal (x(t)).

摘要翻译： 一种用于重建以次奈奎斯特速率规则采样的第一信号（x（t））的重建方法，包括从规则间隔的采样值（ys [n]，y（nT））中取出一组权重（cn ，cnr，ck）和可以重建所述第一信号（x（t））的位移（tn，tk）。 重建信号（x（t））可以表示为由重量（ck）加权并且被移位（tk）移位的已知函数序列（γ（t））。 采样率至少等于第一个信号（x（t））的创新速率（＆rgr）。

公开(公告)号：US08160194B2

公开(公告)日：2012-04-17

申请号：US12542353

申请日：2009-08-17

申请人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

发明人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

IPC分类号： H04L7/00

CPC分类号： H04B1/707 ,  H03M1/1285 ,  H03M1/66 ,  H04B2201/70707

摘要： 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 (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t)) can be reconstructed.The reconstructed signal (x(t)) can be represented as a sequence of known functions (γ(t)) weighted by the weights (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation (ρ) of the first signal (x(t)).

摘要翻译： 一种用于重建以次奈奎斯特速率规则采样的第一信号（x（t））的重建方法，包括从规则间隔的采样值（ys [n]，y（nT））中取出一组权重（cn ，cnr，ck）和可以重建所述第一信号（x（t））的位移（tn，tk）。 重构信号（x（t））可以表示为由权重（ck）加权并且被移位（tk）移位的已知函数序列（γ（t））。 采样率至少等于第一个信号（x（t））的创新速率（＆rgr）。

公开(公告)号：US07991095B2

公开(公告)日：2011-08-02

申请号：US10680833

申请日：2003-10-07

申请人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

发明人： Martin Vetterli ,  Pina Marziliano ,  Thierry Blu

IPC分类号： H04L7/00

CPC分类号： H04B1/707 ,  H03M1/1285 ,  H03M1/66 ,  H04B2201/70707

摘要： 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.

摘要翻译： 一种重构方法，用于从通过以次奈奎斯特速率和均匀间隔采样第二信号而生成的一组采样值重建第一信号，所述方法包括从所述采样值集中检索一组偏移和权重， 可以重构第一个信号。

公开(公告)号：US08326580B2

公开(公告)日：2012-12-04

申请号：US12139117

申请日：2008-06-13

申请人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

发明人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

IPC分类号： H03F1/26

CPC分类号： H04L25/03006 ,  G06F17/10 ,  H03M1/0626 ,  H03M1/127 ,  H04B1/71637 ,  H04L27/2647

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

摘要翻译： 本发明涉及一种处理由接收机接收的信号的方法，包括：基于另一信号（xt）和噪声获得模拟信号（yt）; 基于噪声定义采样内核; 并使用采样核从模拟信号（yt）获得至少一个采样（yn）。 本发明还涉及一种相应的装置; 计算机程序产品; 耳机; 手表和感应装置。

公开(公告)号：US20090191814A1

公开(公告)日：2009-07-30

申请号：US12139117

申请日：2008-06-13

申请人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

发明人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

IPC分类号： H04B1/00

CPC分类号： H04L25/03006 ,  G06F17/10 ,  H03M1/0626 ,  H03M1/127 ,  H04B1/71637 ,  H04L27/2647

摘要： Signals, including signals from outside of the subspace of bandlimited signals associated with the Shannon theorem, are acquired while still providing an acceptable reconstruction. In some aspects a denoising process is used in conjunction with sparse sampling techniques. For example, a denoising process utilizing a Cadzow algorithm may be used to reduce the amount of noise associated with sampled information. In some aspects the denoising process may be iterative such that the denoising process is repeated until the samples are denoised to a sufficient degree. In some aspects, the denoising process converts a set of received samples into another set corresponding to a signal with a Finite Rate of Innovation (FRI), or to an approximation of such a signal. The disclosure relates in some aspects to combination of a denoising process with annihilating filter methods to retrieve information from a noisy, sparse sampled signal. The disclosure relates in some aspects to determining a sampling kernel to be used to sample the signal based on noise associated with the signal. The disclosure relates in some aspects to determining the number of samples to obtain from a signal over a period of time based on noise associated with the signal. The disclosure relates in some aspects to determining the finite number of innovations of a received signal.

公开(公告)号：US08213554B2

公开(公告)日：2012-07-03

申请号：US12139079

申请日：2008-06-13

申请人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

发明人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

IPC分类号： H04B1/10 ,  H04B1/02 ,  H04B15/00

CPC分类号： H04L25/03006 ,  G06F17/10 ,  H03M1/0626 ,  H03M1/127 ,  H04B1/71637 ,  H04L27/2647

摘要： A method of signal processing, comprising: obtaining a digital signal (yn) based on another signal (xt) and noise; and estimating information relating to the another signal (xt) by using a denoising process to produce a denoised signal (y′n) and by processing the denoised signal (y′n), wherein the denoised signal (y′n) produced by the denoising process has a substantially Finite Rate of Innovation.

摘要翻译： 一种信号处理方法，包括：基于另一信号（xt）和噪声获得数字信号（yn）; 以及通过使用去噪处理来产生去噪信号（y'n）并且通过处理去噪信号（y'n）来估计与另一信号（xt）有关的信息，其中由所述噪声信号 去噪过程具有极大的有限创新率。

公开(公告)号：US20090190689A1

公开(公告)日：2009-07-30

申请号：US12139079

申请日：2008-06-13

申请人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

发明人： Thierry Blu ,  Martin Vetterli ,  Lionel Coulot

IPC分类号： H04B15/00

CPC分类号： H04L25/03006 ,  G06F17/10 ,  H03M1/0626 ,  H03M1/127 ,  H04B1/71637 ,  H04L27/2647

摘要： Signals, including signals from outside of the subspace of bandlimited signals associated with the Shannon theorem, are acquired while still providing an acceptable reconstruction. In some aspects a denoising process is used in conjunction with sparse sampling techniques. For example, a denoising process utilizing a Cadzow algorithm may be used to reduce the amount of noise associated with sampled information. In some aspects the denoising process may be iterative such that the denoising process is repeated until the samples are denoised to a sufficient degree. In some aspects, the denoising process converts a set of received samples into another set corresponding to a signal with a Finite Rate of Innovation (FRI), or to an approximation of such a signal. The disclosure relates in some aspects to combination of a denoising process with annihilating filter methods to retrieve information from a noisy, sparse sampled signal. The disclosure relates in some aspects to determining a sampling kernel to be used to sample the signal based on noise associated with the signal. The disclosure relates in some aspects to determining the number of samples to obtain from a signal over a period of time based on noise associated with the signal. The disclosure relates in some aspects to determining the finite number of innovations of a received signal.

摘要翻译： 信号包括与香农定理相关联的带限信号的子空间以外的信号，同时仍然提供可接受的重建。 在一些方面，去噪过程与稀疏采样技术结合使用。 例如，可以使用利用Cadzow算法的去噪处理来减少与采样信息相关联的噪声量。 在一些方面，去噪过程可以是迭代的，使得去除去噪过程直到样品被去除去达到足够的程度。 在一些方面，去噪处理将一组接收到的样本转换成对应于具有有限创新速率（FRI）的信号的另一组，或将其转换为近似这样的信号。 本公开在一些方面涉及去噪处理与消除滤波器方法的组合以从噪声稀疏采样信号中检索信息。 本公开在一些方面涉及确定要用于基于与信号相关联的噪声对信号进行采样的采样内核。 本公开在一些方面涉及基于与信号相关联的噪声来确定在一段时间内从信号获得的样本数量。 本公开在一些方面涉及确定接收信号的创新的有限数量。