Joint denoising and delay estimation for the extraction of pulse-width of signals in RF interference

    公开(公告)号:US11982698B2

    公开(公告)日:2024-05-14

    申请号:US17128825

    申请日:2020-12-21

    发明人: Masoud Farshchian

    摘要: A feature detection system, the system comprising: at least one processor in operative communication with a signal source, said processor further comprising at least one non-transitory storage medium, wherein at least one non-transitory storage medium contains instructions configured to cause the processor to: apply a joint group sparse denoising and delay estimation approach to a signal received from said signal source; and output statistics regarding the signal, wherein the joint group sparse denoising and delay estimation approach comprises; using the following equation:





    {


    x
    *

    ,

    τ
    *


    }

    =



    argmin

    x
    ,
    τ





    {



    1
    2






    j
    =
    1

    M






    y
    j

    -
    x



    2
    2



    +




    i
    =
    0

    N



    λ
    i




    φ
    i

    (


    D
    i

    l
    i



    x

    )




    }






    where: ϕi are regularization functions; ∥y−x∥22 is a data-fidelity term and, in embodiments, is chosen as the least-square term; li are real numbers; Di are operators, which may be linear filters that can be written in matrix form; λi are regularization parameters; and x*,τ* represent estimates of at least one transmitted pulse and associated delay, and solving the equation for multiple values of ϵ; choosing a vector, x, such that a cost function comprising the data fidelity term and regularization function is minimized; determining the ϵ that corresponds to the x that minimizes the cost function; and calculating the pulse width of the received signal, which corresponds to the desired estimate of the vector, x.

    JOINT DENOISING AND DELAY ESTIMATION FOR THE EXTRACTION OF PULSE-WIDTH OF SIGNALS IN RF INTERFERENCE

    公开(公告)号:US20220196793A1

    公开(公告)日:2022-06-23

    申请号:US17128825

    申请日:2020-12-21

    发明人: Masoud Farshchian

    摘要: A feature detection system, the system comprising: at least one processor in operative communication with a signal source, said processor further comprising at least one non-transitory storage medium, wherein at least one non-transitory storage medium contains instructions configured to cause the processor to: apply a joint group sparse denoising and delay estimation approach to a signal received from said signal source; and output statistics regarding the signal, wherein the joint group sparse denoising and delay estimation approach comprises; using the following equation: { x * , τ * } = argmin x , τ ⁢ { 1 2 ⁢ ∑ j = 1 M ⁢  y j - x  2 2 + ∑ i = 0 N ⁢ λ i ⁢ φ i ⁡ ( D i l i ⁢ x ) } where: ϕi are regularization functions; ∥y−x∥22 is a data-fidelity term and, in embodiments, is chosen as the least-square term; li are real numbers; Di are operators, which may be linear filters that can be written in matrix form; λi are regularization parameters; and x*,τ* represent estimates of at least one transmitted pulse and associated delay, and solving the equation for multiple values of ϵ; choosing a vector, x, such that a cost function comprising the data fidelity term and regularization function is minimized; determining the ϵ that corresponds to the x that minimizes the cost function; and calculating the pulse width of the received signal, which corresponds to the desired estimate of the vector, x.