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    • 7. 发明授权
    • Apparatus and method for angle rotation
    • 角度旋转的装置和方法
    • US07203718B1
    • 2007-04-10
    • US09698246
    • 2000-10-30
    • Dengwei FuArthur TorosyanAlan N. Willson, Jr.
    • Dengwei FuArthur TorosyanAlan N. Willson, Jr.
    • G06F7/52
    • G06F7/5446
    • An angle rotator uses a coarse stage rotation and a fine stage rotation to rotate an input complex signal in the complex plane according to an angle θ. The coarse stage rotation includes a memory device storing pre-computed cosine θM and sine θM values for fast retrieval, where θM is a radian angle that corresponds to a most significant word (MSW) of the input angle θ. The fine stage rotation uses one or more error values that compensate for approximations and quantization errors associated with the coarse stage rotation. The rotator consolidates operations into a small number of reduced-size multipliers, enabling efficient multiplier implementations such as Booth encoding, yielding a smaller and faster overall circuit.
    • 角度旋转器使用粗级旋转和精细级旋转来根据角度θ旋转复平面中的输入复信号。 粗级旋转包括用于快速检索的存储预先计算的余弦θ和正弦值的存储器件,其中θ是M 弧度角对应于输入角θ的最高有效字(MSW)。 精细级旋转使用补偿与粗级旋转相关联的近似和量化误差的一个或多个误差值。 旋转器将操作整合到少量的小尺寸乘法器中,实现高效的乘法器实现,如布斯编码,产生更小更快的总体电路。
    • 8. 发明申请
    • Method for synchronizing symbol timing
    • 符号定时同步的方法
    • US20050193047A1
    • 2005-09-01
    • US11090999
    • 2005-03-28
    • Dengwei FuAlan Willson
    • Dengwei FuAlan Willson
    • G06F7/38G06F17/10H04L27/22
    • H04L27/22
    • A method of synchronizing symbol timing in a digital device includes the steps of receiving complex data samples of one or more symbols, correlating the data samples with a complex conjugate of a preamble data set, selecting between real and imaginary samples and generating a complex number based on the result. The method then determines an angle in a complex plane that represents symbol synchronization for the digital device. Disclosed embodiments include applications to communications devices, and to carrier recovery in such devices. In such embodiments the resultant angle may represent a carrier phase offset for the device.
    • 一种在数字设备中同步符号定时的方法包括以下步骤:接收一个或多个符号的复数数据样本,将数据样本与前导码数据集的复共轭相关联,在实数和虚数采样之间进行选择并生成基于复数的复数 结果。 该方法然后确定表示数字设备的符号同步的复平面中的角度。 公开的实施例包括对通信设备的应用,以及这些设备中的载波恢复。 在这样的实施例中,所得到的角度可以表示装置的载波相位偏移。
    • 9. 发明授权
    • Apparatus and method for trigonometric interpolation
    • 三角插值的装置和方法
    • US06772181B1
    • 2004-08-03
    • US09699088
    • 2000-10-30
    • Dengwei FuAlan N. Willson, Jr.
    • Dengwei FuAlan N. Willson, Jr.
    • G06F1717
    • G06F17/17H03H17/0628
    • A trigonometric interpolator interpolates between two data samples at an offset &mgr;, where the two data samples are part of a set of N data samples. The trigonometric interpolator fits a trigonometric polynomial to the N data samples and evaluates the trigonometric polynomial at the offset &mgr;. The trigonometric inteprolator can be utilized for data rate changing and to correct mismatches between received samples and transmitted symbols. Simulations demonstrate that the trigonometric interpolater attains better performance than “conventional” interpolators, while simultaneously reducing the required hardware. In embodiments, the filter response of the trigonometric interpolator can be modified to achieve an arbitrary frequency response in order to enhance the interpolator performance. More specifically, the frequency response of the interpolator can be shaped to effectively correspond with the frequency response of the input data samples and the offset &mgr;. Using this optimization technique, the overall interpolation error is reduced. As for the implementation, the optimal interpolator does not require additional hardware when a lookup table is used for sine and cosine values. When high precision, high speed and a small table are desired, the trigonometric interpolator can be implemented using an angle-rotation processor that is also described here.
    • 三角插值器在偏移量mu处的两个数据样本之间插值,其中两个数据样本是一组N个数据样本的一部分。 三角内插器将三角多项式拟合到N个数据样本,并评估偏移量mu处的三角多项式。 三角内向推进器可用于数据速率变化,并纠正接收到的采样和发射符号之间的不匹配。 仿真表明,三角插值仪比“传统”插值器获得更好的性能,同时减少了所需的硬件。 在实施例中,可以修改三角插值器的滤波器响应以实现任意频率响应,以便增强内插器性能。 更具体地,内插器的频率响应可以被成形为有效地对应于输入数据样本和偏移量mu的频率响应。 使用这种优化技术,整体插值误差降低。 对于实现,当查找表用于正弦和余弦值时,最佳内插器不需要额外的硬件。 当需要高精度,高速度和小表时,可以使用这里也描述的角度旋转处理器来实现三角插值器。