adjoint.py 文件源码

def AnalyticSignal(syn, obs, nt, dt, eps=0.):
    esyn = abs(_analytic(syn))
    eobs = abs(_analytic(obs))

    esyn1 = esyn + eps*max(esyn)
    eobs1 = eobs + eps*max(eobs)
    esyn3 = esyn**3 + eps*max(esyn**3)

    diff1 = syn/(esyn1) - obs/(eobs1)
    diff2 = _hilbert(syn)/esyn1 - _hilbert(obs)/eobs1

    part1 = diff1*_hilbert(syn)**2/esyn3 - diff2*syn*_hilbert(syn)/esyn3
    part2 = diff1*syn*_hilbert(syn)/esyn3 - diff2*syn**2/esyn3

    wadj = part1 + _hilbert(part2)
    return wadj