Method and system for super-resolution signal reconstruction
    1.
    发明授权
    Method and system for super-resolution signal reconstruction 有权
    超分辨率信号重建方法与系统

    公开(公告)号:US09159119B2

    公开(公告)日:2015-10-13

    申请号:US13344341

    申请日:2012-01-05

    CPC分类号: G06T3/4053

    摘要: A method and system are presented for reconstructing an input field where the latter is sensed by a measurement system. The method comprises: providing measured data corresponding to output field of said measurement system; providing data about sparsity of the input field, and data about effective response function of the measurement system; and processing the measured data based on said known data, the processing comprising: determining a sparse vector as a function of said measured data, said data about the sparsity of the input field, and said data about the effective response function; and using the sparse vector for reconstructing the input information. The invention allows for sub-wavelength resolution in imaging applications, and allows for detection of very short pulses by slow detectors in some other applications.

    摘要翻译: 提出了一种用于重建输入场的方法和系统,其中后者由测量系统感测。 该方法包括:提供对应于所述测量系统的输出场的测量数据; 提供关于输入字段的稀疏性的数据和关于测量系统的有效响应功能的数据; 以及基于所述已知数据处理测量数据,所述处理包括:确定作为所述测量数据的函数的稀疏向量,关于所述输入字段的稀疏度的所述数据以及关于所述有效响应函数的所述数据; 并使用稀疏向量来重构输入信息。 本发明允许成像应用中的亚波长分辨率,并且允许在一些其它应用中通过慢速检测器检测非常短的脉冲。

    METHOD AND APPARATUS FOR RECONSTRUCTING DIGITIZED DISTORTED SIGNALS
    2.
    发明申请
    METHOD AND APPARATUS FOR RECONSTRUCTING DIGITIZED DISTORTED SIGNALS 有权
    用于重构数字失真信号的方法与装置

    公开(公告)号:US20100259428A1

    公开(公告)日:2010-10-14

    申请号:US12739745

    申请日:2008-10-29

    IPC分类号: H03M1/00

    CPC分类号: H03M1/0614 H03M1/12

    摘要: A method of reproducing an original analog signal modified by a distortion and sampled. The distortion may be linear or nonlinear, and the samples may be either ideal or non-ideal. The method determines a stationary point of a cost function based on an error vector. The method iteratively computes approximated analog signals until the approximated analog signals converge to the original analog signal. The method may utilize Fr?chet derivatives and Moore-Penrose pseudo inverse transformations in order to iteratively compute the original analog signal. An apparatus performing said method is also disclosed.

    摘要翻译: 一种再现由失真和采样修正的原始模拟信号的方法。 失真可以是线性的或非线性的,并且样本可以是理想的或非理想的。 该方法基于误差向量确定成本函数的平稳点。 该方法迭代地计算近似的模拟信号,直到近似的模拟信号收敛到原始模拟信号。 该方法可以利用Fr?Chet导数和Moore-Penrose伪逆变换来迭代地计算原始模拟信号。 还公开了执行所述方法的装置。

    SUB-NYQUIST SAMPLING OF SHORT PULSES
    3.
    发明申请
    SUB-NYQUIST SAMPLING OF SHORT PULSES 有权
    短时脉冲的次NYQUIS采样

    公开(公告)号:US20130187682A1

    公开(公告)日:2013-07-25

    申请号:US13824369

    申请日:2011-10-05

    IPC分类号: H03K5/00

    CPC分类号: H03K5/00 H03M7/30

    摘要: A method for signal processing includes accepting an analog signal, which consists of a sequence of pulses (36A-36F) confined to a finite time interval. The analog signal is sampled at a sampling rate that is lower than a Nyquist rate of the analog signal and with samples taken at sample times that are independent of respective pulse shapes of the pulses and respective time positions of the pulses in the time interval. The sampled analog signal is processed.

    摘要翻译: 一种用于信号处理的方法包括接受由限于有限时间间隔的脉冲序列(36A-36F)组成的模拟信号。 模拟信号以低于模拟信号的奈奎斯特速率的采样速率进行采样,采样时间取决于脉冲的相应脉冲形状和时间间隔内脉冲的相应时间位置。 采样的模拟信号被处理。

    EFFICIENT SAMPLING AND RECONSTRUCTION OF SPARSE MULTI-BAND SIGNALS
    4.
    发明申请
    EFFICIENT SAMPLING AND RECONSTRUCTION OF SPARSE MULTI-BAND SIGNALS 有权
    有效的采样和重建SPARSE多波段信号

    公开(公告)号:US20110294453A1

    公开(公告)日:2011-12-01

    申请号:US13144086

    申请日:2010-02-15

    IPC分类号: H04B1/18

    CPC分类号: H04B1/0092

    摘要: A method for signal processing includes distributing an analog input signal to a plurality of processing channels. In each processing channel, the input signal is mixed with a respective periodic waveform including multiple spectral lines, so as to produce a respective baseband signal in which multiple spectral slices of the input signal are superimposed on one another. The baseband signal produced in each of the processing channels is digitized, to produce a set of digital sample sequences that represent the input signal.

    摘要翻译: 一种用于信号处理的方法包括将模拟输入信号分配到多个处理通道。 在每个处理通道中,将输入信号与包括多个频谱线的各个周期波形混合,以便产生相应的基带信号,其中输入信号的多个频谱片段彼此叠加。 在每个处理通道中产生的基带信号被数字化,以产生一组表示输入信号的数字采样序列。

    Method and apparatus for reconstructing digitized distorted signals
    5.
    发明授权
    Method and apparatus for reconstructing digitized distorted signals 有权
    用于重建数字化失真信号的方法和装置

    公开(公告)号:US08228218B2

    公开(公告)日:2012-07-24

    申请号:US12739745

    申请日:2008-10-29

    IPC分类号: H03M1/10

    CPC分类号: H03M1/0614 H03M1/12

    摘要: A method of reproducing an original analog signal modified by a distortion and sampled. The distortion may be linear or nonlinear, and the samples may be either ideal or non-ideal. The method determines a stationary point of a cost function based on an error vector. The method iteratively computes approximated analog signals until the approximated analog signals converge to the original analog signal. The method may utilize Fr?chet derivatives and Moore-Penrose pseudo inverse transformations in order to iteratively compute the original analog signal. An apparatus performing said method is also disclosed.

    摘要翻译: 一种再现由失真和采样修正的原始模拟信号的方法。 失真可以是线性的或非线性的,并且样本可以是理想的或非理想的。 该方法基于误差向量确定成本函数的平稳点。 该方法迭代地计算近似的模拟信号,直到近似的模拟信号收敛到原始模拟信号。 该方法可以利用Fr?Chet导数和Moore-Penrose伪逆变换来迭代地计算原始模拟信号。 还公开了执行所述方法的装置。

    System, method, and circuitry for blind timing mismatch estimation of interleaved analog-to-digital converters
    6.
    发明授权
    System, method, and circuitry for blind timing mismatch estimation of interleaved analog-to-digital converters 有权
    用于交错模数转换器盲定时失配估计的系统,方法和电路

    公开(公告)号:US08159377B2

    公开(公告)日:2012-04-17

    申请号:US12872043

    申请日:2010-08-31

    IPC分类号: H03M1/06

    CPC分类号: H03M1/0624 H03M1/1215

    摘要: A timing skew estimation system is disclosed that includes a plurality of interleaved analog-to-digital converter circuits (ADCs), a timing mismatch estimation unit, and a correction unit. The timing mismatch estimation unit calculates a correlation between each of the plurality of ADCs. Then the timing mismatch estimation unit calculates a cost function for each of the plurality of ADCs, except the reference ADC. The timing mismatch estimation unit further calculates a gradient for each of the plurality of ADCs, except the reference ADC. The timing mismatch estimation unit also continually calculates the timing skew of each of the plurality of ADCs, except the reference ADC, as the sum of an immediately previous estimate of the timing skew of each ADC, except the reference ADC, and a product of a function of the gradient of each of the plurality of ADCs, except the reference ADC, and a step size, The correction unit continually corrects the output of each of the plurality of ADCs, except the reference ADC, based on the estimates of the timing skew of each of the plurality of ADCs, except the reference ADC. Eventually, the timing skew estimation system determines a converged estimate of the timing skew of each of the plurality of ADCs, except the reference ADC. A method of estimating timing skew and timing skew estimation circuitry are also disclosed.

    摘要翻译: 公开了一种包括多个交错模数转换器电路(ADC),定时失配估计单元和校正单元的定时偏移估计系统。 定时失配估计单元计算多个ADC中的每一个之间的相关性。 然后,定时失配估计单元计算除了参考ADC之外的多个ADC中的每一个的成本函数。 定时失配估计单元进一步计算除了参考ADC之外的多个ADC中的每一个的梯度。 定时失配估计单元还连续地计算除了参考ADC之外的多个ADC中的每一个的定时偏差,作为除了参考ADC之外的每个ADC的定时偏差的紧接的先前估计之和和a的乘积之和 除了参考ADC之外的多个ADC中的每一个的梯度的函数以及步长。校正单元基于定时偏差的估计来连续地校正除了参考ADC之外的多个ADC中的每一个的输出 的多个ADC中的每一个,除了参考ADC。 最后,定时偏移估计系统确定除了参考ADC之外的多个ADC中的每一个的定时偏差的收敛估计。 还公开了一种估计定时偏移和定时偏差估计电路的方法。

    SYSTEM, METHOD, AND CIRCUITRY FOR BLIND TIMING MISMATCH ESTIMATION OF INTERLEAVED ANALOG-TO-DIGITAL CONVERTERS
    7.
    发明申请
    SYSTEM, METHOD, AND CIRCUITRY FOR BLIND TIMING MISMATCH ESTIMATION OF INTERLEAVED ANALOG-TO-DIGITAL CONVERTERS 有权
    用于盲时钟的系统,方法和电路异步模数转换器的误差估计

    公开(公告)号:US20120050079A1

    公开(公告)日:2012-03-01

    申请号:US12872043

    申请日:2010-08-31

    IPC分类号: H03M1/06 H03M1/12

    CPC分类号: H03M1/0624 H03M1/1215

    摘要: A timing skew estimation system is disclosed that includes a plurality of interleaved analog-to-digital converter circuits (ADCs), a timing mismatch estimation unit, and a correction unit. The timing mismatch estimation unit calculates a correlation between each of the plurality of ADCs. Then the timing mismatch estimation unit calculates a cost function for each of the plurality of ADCs, except the reference ADC. The timing mismatch estimation unit further calculates a gradient for each of the plurality of ADCs, except the reference ADC. The timing mismatch estimation unit also continually calculates the timing skew of each of the plurality of ADCs, except the reference ADC, as the sum of an immediately previous estimate of the timing skew of each ADC, except the reference ADC, and a product of a function of the gradient of each of the plurality of ADCs, except the reference ADC, and a step size, The correction unit continually corrects the output of each of the plurality of ADCs, except the reference ADC, based on the estimates of the timing skew of each of the plurality of ADCs, except the reference ADC. Eventually, the timing skew estimation system determines a converged estimate of the timing skew of each of the plurality of ADCs, except the reference ADC. A method of estimating timing skew and timing skew estimation circuitry are also disclosed.

    摘要翻译: 公开了一种包括多个交错模数转换器电路(ADC),定时失配估计单元和校正单元的定时偏移估计系统。 定时失配估计单元计算多个ADC中的每一个之间的相关性。 然后,定时失配估计单元计算除了参考ADC之外的多个ADC中的每一个的成本函数。 定时失配估计单元进一步计算除了参考ADC之外的多个ADC中的每一个的梯度。 定时失配估计单元还连续地计算除了参考ADC之外的多个ADC中的每一个的定时偏差,作为除了参考ADC之外的每个ADC的定时偏差的紧接的先前估计之和和a的乘积之和 除了参考ADC之外的多个ADC中的每一个的梯度的函数以及步长。校正单元基于定时偏差的估计来连续地校正除了参考ADC之外的多个ADC中的每一个的输出 的多个ADC中的每一个,除了参考ADC。 最后,定时偏移估计系统确定除了参考ADC之外的多个ADC中的每一个的定时偏差的收敛估计。 还公开了一种估计定时偏移和定时偏差估计电路的方法。

    Low-rate sampling of pulse streams
    8.
    发明授权
    Low-rate sampling of pulse streams 有权
    脉冲流的低速采样

    公开(公告)号:US09143194B2

    公开(公告)日:2015-09-22

    申请号:US13041455

    申请日:2011-03-07

    IPC分类号: H04B1/7163 H03M1/12 H03H17/06

    摘要: A method includes accepting an analog input signal that includes a sequence of pulses. The analog input signal is filtered so as to produce a filter output, using a filter whose time-domain response is confined to a finite time period and whose frequency-domain response is non-zero at a finite set of integer multiples of a frequency shift Δω, and is zero at all other integer multiples of Δω. The filter output is sampled so as to produce digital samples. Respective amplitudes and time positions of the pulses in the sequence are calculated based on the digital samples.

    摘要翻译: 一种方法包括接受包括脉冲序列的模拟输入信号。 模拟输入信号被滤波以产生滤波器输出,使用其时域响应限于有限时间段的滤波器,并且其频域响应在频移的整数倍的有限集合处非零 &Dgr;ω,并且在&Dgr;ω的所有其他整数倍处为零。 对滤波器输出进行采样,以产生数字采样。 基于数字样本计算序列中的脉冲的相应幅度和时间位置。

    Sub-Nyquist sampling of short pulses
    9.
    发明授权
    Sub-Nyquist sampling of short pulses 有权
    子奈奎斯特采样短脉冲

    公开(公告)号:US08836557B2

    公开(公告)日:2014-09-16

    申请号:US13824369

    申请日:2011-10-05

    IPC分类号: H03M1/00 H03K5/00 H03M7/30

    CPC分类号: H03K5/00 H03M7/30

    摘要: A method for signal processing includes accepting an analog signal, which consists of a sequence of pulses confined to a finite time interval. The analog signal is sampled at a sampling rate that is lower than a Nyquist rate of the analog signal and with samples taken at sample times that are independent of respective pulse shapes of the pulses and respective time positions of the pulses in the time interval. The sampled analog signal is processed.

    摘要翻译: 一种用于信号处理的方法包括接受由限于有限时间间隔的脉冲序列组成的模拟信号。 模拟信号以低于模拟信号的奈奎斯特速率的采样速率进行采样,采样时间取决于脉冲的相应脉冲形状和时间间隔内脉冲的相应时间位置。 采样的模拟信号被处理。

    Multi-channel sampling of pulse streams at the rate of innovation
    10.
    发明授权
    Multi-channel sampling of pulse streams at the rate of innovation 有权
    以创新速率对脉冲流进行多通道采样

    公开(公告)号:US08717210B2

    公开(公告)日:2014-05-06

    申请号:US13640048

    申请日:2011-04-05

    IPC分类号: H03M1/00

    CPC分类号: G01S7/32 H03M1/121

    摘要: A method includes accepting an analog input signal including a sequence of pulses of a given pulse shape. The analog input signal is distributed to multiple processing channels (40) operating in parallel. The analog input signal is sampled by performing, in each of the multiple processing channels, the operations of: mixing the analog input signal with a different, respective modulating waveform to produce a mixed signal; filtering the mixed signal; and digitizing the filtered mixed signal to produce a respective digital channel output.

    摘要翻译: 一种方法包括接受包括给定脉冲形状的脉冲序列的模拟输入信号。 模拟输入信号被分配到并行操作的多个处理通道(40)。 通过在多个处理通道的每一个中执行以下操作来采样模拟输入信号:将模拟输入信号与不同的相应调制波形混合以产生混合信号; 过滤混合信号; 并且将滤波的混合信号数字化以产生相应的数字信道输出。