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    • 9. 发明申请
    • Signal Processing with Fast S-Transforms
    • 信号处理与快速S变换
    • US20100191792A1
    • 2010-07-29
    • US12482237
    • 2009-06-10
    • Robert BrownM. Louis LauzonRichard Frayne
    • Robert BrownM. Louis LauzonRichard Frayne
    • G06F17/14
    • G06F17/148
    • The ability to examine the frequency content of a signal is critical in a variety of fields, and many techniques have been proposed to fill this need, including the Fourier and wavelet family of transforms. One of these, the S-transform, is a Fourier based transform that provides simultaneous time and frequency information similar to the wavelet transform but uses sinusoidal basis functions to produce true frequency and globally referenced phase measurements. It has been shown to be useful in several medical imaging applications but its use is limited due to high computational requirements of the original, continuous form. The described embodiments include a general framework for describing linear time-frequency transforms, using the Fourier, wavelet and S-transforms as examples. As an illustration of the utility of this formalism, a fast discrete S-transform algorithm is developed that has the same computational complexity as the fast Fourier transform.
    • 检查信号的频率内容的能力在各种领域中是至关重要的,并且已经提出了许多技术来满足这种需要,包括傅里叶变换和小波变换族。 其中之一,S变换是基于傅立叶的变换,其提供类似于小波变换的同时时间和频率信息,但是使用正弦基函数来产生真实的频率和全局参考相位测量。 已经显示在几种医学成像应用中是有用的,但是由于原始连续形式的高计算要求,其使用受到限制。 所描述的实施例包括用于描述线性时间 - 频率变换的一般框架,使用傅立叶,小波和S变换作为示例。 作为这种形式主义效用的一个例证,开发了具有与快速傅立叶变换相同计算复杂度的快速离散S变换算法。