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    • 7. 发明申请
    • Method and Apparatus for Compressive Parameter Estimation and Tracking
    • 用于压缩参数估计和跟踪的方法和装置
    • US20100241378A1
    • 2010-09-23
    • US12727898
    • 2010-03-19
    • Richard G. BaraniukPetros T. BoufounosStephen R. SchnelleMark A. DavenportJason N. Laska
    • Richard G. BaraniukPetros T. BoufounosStephen R. SchnelleMark A. DavenportJason N. Laska
    • G06F19/00
    • H03L7/091H03L7/07H03L7/0805H03L7/087
    • We have developed a new method and apparatus for tracking and estimating parameters of locally oscillating signals from measurements that approximately preserve the inner product among signals in a class of signals of interest. Random demodulation, random sampling, and coset sampling are three prime examples of these techniques.One example of this is a compressive phase locked loops (PLL), which has a wide variety of applications, including but not limited to communications, phase tracking, robust control, sensing, and frequency modulation (FM) demodulation. The design modifies classical PLL designs to operate with CS-based sampling systems. By introducing a compressive sampler at the output of the oscillator and by appropriately adjusting the phase difference estimator we enable the use of PLLs with modern CS sampling technology. Other modifications can be made to reduce concerns such as normalization of the measurements, for example using the QCS-PLL.The concept of democracy is also introduced into a CS-PLL with quantization effects. Due to the universality of compressive measurements, we can drop a few saturated measurements, yet still get just as good or better performance than if we had allowed the quantizer to saturate.The CS-PLL and QCS-PLL enable one to track oscillating signals in very large bandwidths using a small number of measurements. In addition to potentially operating below the Nyquist rate, however, our new PLL designs offer very low computational complexity that does not involve intermediate compressive sensing signal reconstruction.
    • 我们已经开发了一种新的方法和装置,用于跟踪和估计本地振荡信号的参数,这些测量大致保留了一类感兴趣信号中的信号之间的内积。 随机解调,随机抽样和陪集抽样是这些技术的三个主要例子。 其一个例子是压缩锁相环(PLL),其具有广泛的应用,包括但不限于通信,相位跟踪,鲁棒控制,感测和频率调制(FM)解调。 该设计修改了经典的PLL设计,使用基于CS的采样系统进行操作。 通过在振荡器的输出端引入压缩采样器,并通过适当调整相位差估计器,可以使用具有现代CS采样技术的PLL。 可以进行其他修改以减少诸如使用QCS-PLL的测量的归一化等问题。 民主的概念也被引入到具有量化效应的CS-PLL中。 由于压缩测量的普遍性,我们可以减少一些饱和度测量,但是如果我们允许量化器饱和,仍然可以获得同样好或更好的性能。 CS-PLL和QCS-PLL使得能够使用少量测量来跟踪非常大带宽中的振荡信号。 然而,除了可能低于奈奎斯特速率的操作之外,我们的新PLL设计提供了非常低的计算复杂度,不涉及中间压缩感测信号重建。
    • 10. 发明授权
    • Method and apparatus for compressive parameter estimation and tracking
    • 用于压缩参数估计和跟踪的方法和装置
    • US08566053B2
    • 2013-10-22
    • US12727898
    • 2010-03-19
    • Richard G. BaraniukPetros T. BoufounosStephen R. SchnelleMark A. DavenportJason N. Laska
    • Richard G. BaraniukPetros T. BoufounosStephen R. SchnelleMark A. DavenportJason N. Laska
    • G01R13/00G01R13/02G01R13/36G01R13/38
    • H03L7/091H03L7/07H03L7/0805H03L7/087
    • A method for estimating and tracking locally oscillating signals. The method comprises the steps of taking measurements of an input signal that approximately preserve the inner products among signals in a class of signals of interest and computing an estimate of parameters of the input signal from its inner products with other signals. The step of taking measurements may be linear and approximately preserve inner products, or may be non-linear and approximately preserves inner products. Further, the step of taking measurements is nonadaptive and may comprise compressive sensing. In turn, the compressive sensing may comprise projection using one of a random matrix, a pseudorandom matrix, a sparse matrix and a code matrix. The step of tracking said signal of interest with a phase-locked loop may comprise, for example, operating on compressively sampled data or by operating on compressively sampled frequency modulated data, tracking phase and frequency.
    • 一种用于估计和跟踪局部振荡信号的方法。 该方法包括以下步骤:对感兴趣信号类别中的信号之间大致保留内积的输入信号进行测量,并从其内部乘积与其它信号计算输入信号的参数估计。 进行测量的步骤可以是线性的并且大致保留内部产品,或者可以是非线性的并且大致保留内部产品。 此外,进行测量的步骤是非适应性的并且可以包括压缩感测。 反过来,压缩感测可以包括使用随机矩阵,伪随机矩阵,稀疏矩阵和代码矩阵之一的投影。 用锁相环跟踪所述感兴趣的信号的步骤可以包括例如对压缩采样的数据进行操作,或者通过对压缩采样的调频数据,跟踪相位和频率进行操作。