Phase Retrieval Algorithm for Generation of Constant Time Envelope with Prescribed Fourier Transform Magnitude Signal
    1.
    发明申请
    Phase Retrieval Algorithm for Generation of Constant Time Envelope with Prescribed Fourier Transform Magnitude Signal 审中-公开
    用定时傅里叶变换幅度信号产生恒定时间包络的相位检索算法

    公开(公告)号:US20160363658A1

    公开(公告)日:2016-12-15

    申请号:US15102740

    申请日:2013-12-11

    CPC classification number: G01S13/006 G01S7/282 G01S7/35 G01S13/106 G01S13/282

    Abstract: The invention is an iterative process for performing iteratively the phase retrieval of an adaptive signal x(t) matching two sets of constraint both concerning the time envelope ue(t) of signal x(t) and magnitude distribution Um(f) of its spectral representation. At each iteration k the process computes an estimate {tilde over (x)}k(t) of signal x(t) which is obtained from a first projection PA on a first set of constraint in time domain of a computed value xk(t) of x(t), xk(t) deriving from an estimate {tilde over (X)}k-1(f) of the spectrum of signal x(t), said estimate {tilde over (X)}k-1(f) being itself obtained from a second projection PB on a second set of constraints in spectral domain of the Fourier transform Xk(f) of the estimate {tilde over (x)}k-1(t) of x(t) computed at iteration k−1. Iterative computation of estimate {tilde over (x)}k(t) is repeated until {tilde over (x)}k(t) meets a predefined criterion which indicates that estimate {tilde over (x)}k(t) is close enough to expected signal x(t).

    Abstract translation: 本发明是迭代地执行与信号x(t)的时间包络ue(t)和其光谱的幅度分布Um(f)相关的两组约束匹配的自适应信号x(t)的相位检索 表示。 在每次迭代k中,该过程计算在计算值xk(t)的时域中的第一组约束上从第一投影PA获得的信号x(t)的估计{(t))(k) (x)} k-1(f)的估计{tilde over(X)} k-1(f)得出的x(t),xk(t) (f)本身从计算出的x(t)的估计{tilde over(x)} k-1(t)的傅里叶变换Xk(f)的频域的频域的第二组约束获得自身。 在迭代k-1。 重复估计{tilde over(x)} k(t)的迭代计算,直到{tilde over(x)} k(t)满足预定义的标准,这表明估计(波形)超过(x)} k(t) 足以预期信号x(t)。

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