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1. 发明授权

US5321797A Apparatus and method for performing coordinate transformation employing stored values and interpolation 失效
标题翻译：使用存储值和内插执行坐标变换的装置和方法
公开(公告)号：US5321797A
公开(公告)日：1994-06-14
申请号：US535696
申请日：1990-06-11
申请人： Roger R. A. Morton
发明人： Roger R. A. Morton
IPC分类号： H04N1/60 , G06F1/03 , G06F17/17 , G06T1/00 , G06T1/20 , H04N1/46 , G06F15/00
CPC分类号： H04N1/6019 , G06F1/03 , G06F17/175 , G06F2101/06
摘要： A coordinate transformation method and apparatus that uses a lookup table to store a sample of transformed output values and an interpolator for interpolating between samples of the output values to provide an output data value. The samples are stored at varying sample spacings to accommodate varying curvatures of the transformation function so as to minimize interpolation errors.
摘要翻译：一种坐标变换方法和装置，其使用查找表来存储经变换的输出值的样本和用于在输出值的采样之间进行插值的内插器，以提供输出数据值。样本以变化的样本间隔存储以适应变换函数的变化曲率，从而最小化插值误差。

2. 发明授权

US5519401A Programmed radar coordinate scan conversion 失效
标题翻译：编程雷达坐标扫描转换
公开(公告)号：US5519401A
公开(公告)日：1996-05-21
申请号：US143597
申请日：1993-11-01
申请人： Michael E. Farmer , Stephen M. Sohn
发明人： Michael E. Farmer , Stephen M. Sohn
IPC分类号： G01S7/298 , G06F1/03
CPC分类号： G06F1/03 , G01S7/298 , G06F2101/06
摘要： A pseudo-code representation and a C language representation of a scan converter system whereby radar amplitude data specified in polar coordinates may be displayed on a computer monitor display controlled by rectangular coordinates is provided. The invention utilizes a look-up table that is built using a two-phase algorithm. The look-up table is set into an initial state after which a mapping process takes place in which all of the (x,y) coordinate values covering the display area are inversely projected to the nearest (r,.theta.) coordinate values using trigonometric and approximation procedures. Since more than one (x,y) value may map to the same (r,.theta.) value, these values are linked together to form a patch. All of the (r,.theta.) coordinates will not be hit in this mapping process. Therefore, a second phase of projection occurs. Each (r,.theta.) coordinate not hit in the aforementioned inverse projection is now projected forward to an (x,y) coordinate using trigonometric and approximation procedures. Upon conclusion of the formation of the look-up table, each (r,.theta.) value will have an associated patch of (x,y) values. The look-up table may now be addressed by r and .theta.. The associated patch contains the x and y coordinate values which are used to paint the display.
摘要翻译：提供了扫描转换器系统的伪码表示和C语言表示，其中以极坐标指定的雷达幅度数据可以显示在由直角坐标控制的计算机监视器显示器上。本发明利用了使用两相算法构建的查找表。查找表被设置为初始状态，之后进行映射处理，其中使用三角法将覆盖显示区域的所有（x，y）坐标值反向投影到最近的（r，θ）坐标值，近似程序。由于多个（x，y）值可能映射到相同的（r，theta）值，所以这些值被链接在一起形成一个补丁。在这个映射过程中，所有（r，θ）坐标都不会被击中。因此，发生第二阶段的投影。在上述反向投影中未命中的每个（r，θ）坐标现在使用三角和近似程序向前投影到（x，y）坐标。在查找表的形成结束时，每个（r，θ）值将具有（x，y）值的相关补码。现在可以通过r和θ来查找查找表。相关补丁包含用于绘制显示的x和y坐标值。

3. 发明授权

US3648030A Scale conversion apparatus 失效
标题翻译：尺寸转换装置
公开(公告)号：US3648030A
公开(公告)日：1972-03-07
申请号：US3648030D
申请日：1969-09-16
申请人： FERRANTI LTD
发明人： SHEPHERD ALEXANDER TURNBULL , SMITH LAURENCE PHILIP , TAYLOR LOCKHART
IPC分类号： G06F1/02 , G06F7/68 , H03K5/00 , H03K21/00 , G06M3/14 , H03K21/36
CPC分类号： H03K21/00 , G06F1/02 , G06F7/68 , G06F2101/06 , H03K5/00
摘要： A linear scale converter for converting an input train of electrical pulses each of which represents a required elemental movement (e.g., of a machine tool) of fixed length expressed in a particular scale, such as the Imperial scale, to an output train of pulses each of which represents such movement but expressed in another scale, such as the Metric scale, where the output/input scale ratio is D/N, includes apparatus for defining each input group of N pulses and adding algebraically to it (D-N) pulses at locations spaced approximately evenly over the group, thereby providing an output group of D pulses.
摘要翻译：一种线性刻度转换器，用于将输入的电脉冲序列转换成每一个表示以特定尺度（例如英制刻度）表示的固定长度的必需元素运动（例如，机床）的输出序列到每个输出脉冲串其中表示这种运动，但是以另一个尺度表示，例如输出/输入比例为D / N的度量标度，包括用于定义N个脉冲的每个输入组并且在其位置处以代数加法（DN）脉冲的装置在组上大致均匀地间隔开，从而提供D脉冲的输出组。

4. 发明授权

US06385633B1 Method and apparatus for computing complex phase 有权
标题翻译：用于计算复杂相位的方法和装置
公开(公告)号：US06385633B1
公开(公告)日：2002-05-07
申请号：US09343421
申请日：1999-06-30
申请人： Timothy M. Schmidl
发明人： Timothy M. Schmidl
IPC分类号： G06F7548
CPC分类号： G06F1/0353 , G06F7/4806 , G06F2101/04 , G06F2101/06
摘要： The phase of a complex number I+jQ is computed using a hybrid lookup table and computation approach suitable for DSP implementation and useful in remote access/networking and wireless applications. An approximate phase &thgr;˜ for an approximation complex number I˜+jQ˜ is determined through memory table lookup. This is added to a correction phase &Dgr;&thgr; which is determined by calculation of a correction term C=(I˜*Q−Q˜*I)/(I*I˜+Q*Q˜) which represents the imaginary part divided by the real part of the complex multiplication of the complex number and the conjugate of the approximate complex number.
摘要翻译：使用混合查找表和适用于DSP实现的计算方法来计算复数I + jQ的相位，并且在远程访问/网络和无线应用中是有用的。通过内存表查找确定近似复数I〜+ jQ〜的近似相位θ。这被添加到通过计算表示虚部除以实部的校正项C =（I〜* QQ〜* I）/（I * I〜+ Q * Q〜）来确定的校正相位DELTAtheta 的复数乘以近似复数的共轭。

5. 发明授权

US4106021A Polar to rectangular coordinate converter 失效
标题翻译：极坐标到直角坐标转换器
公开(公告)号：US4106021A
公开(公告)日：1978-08-08
申请号：US812363
申请日：1977-07-01
申请人： Kazuo Katagi
发明人： Kazuo Katagi
IPC分类号： G01S7/295 , G06F1/03 , G01S7/44 , G01S9/60
CPC分类号： G06F1/03 , G01S7/295 , G06F2101/06
摘要： A memory for a coordinate converter stores, for each azimuth at which information from an information source may be received in a polar coordinate system, the incremental X and Y coordinate values, .DELTA.X and .DELTA.Y, for an incremental change in range along the azimuth. For each azimuth these incremental coordinate values .DELTA.X and .DELTA.Y are retrieved from memory and entered into summing devices which are incremented respectively by .DELTA.X and .DELTA.Y for each increment of range. The integers of the values of the summing devices represent X and Y coordinate values in a rectangular coordinate system and may be utilized to address an information reception device such as a random access memory.
摘要翻译：用于坐标转换器的存储器对于在极坐标系中可以接收来自信息源的信息的每个方位存储沿着方位角的范围的增量变化的增量X和Y坐标值DELTA X和DELTA Y 。对于每个方位角，这些增量坐标值DELTA X和DELTA Y从存储器中检索并输入到每个增量范围分别递增DELTA X和DELTA Y的求和装置。求和装置的值的整数表示直角坐标系中的X和Y坐标值，并且可以用于寻址诸如随机存取存储器的信息接收装置。

6. 发明授权

US4500972A Apparatus for converting digital chrominance signals of a cartesian color coordinate system into digital color signals and saturation signals of a polar color coordinate system and a transformation circuit 失效
标题翻译：将笛卡尔色坐标系的数字色度信号转换为数字彩色信号和极坐标系的饱和信号和变换电路的装置
公开(公告)号：US4500972A
公开(公告)日：1985-02-19
申请号：US269015
申请日：1981-06-05
申请人： Franz Kuhn , Wilfried Lippek , Klaus Mollgaard , Friedrich Redecker
发明人： Franz Kuhn , Wilfried Lippek , Klaus Mollgaard , Friedrich Redecker
IPC分类号： G03F3/08 , G06F1/035 , G06F7/548 , G06T1/00 , H04N1/60 , H04N1/64 , H04N11/04 , G06F15/20 , G01J3/46
CPC分类号： H04N1/6005 , G01J3/462 , G06F1/0353 , H04N1/60 , H04N1/646 , G06F2101/06
摘要： A method for converting digital chrominance signals of a cartesian color coordinate system into digital color signals and saturation signals of a polar color coordinate system and including a transformation circuit for the transformation from cartesian to polar coordinates.
摘要翻译： PCT No.PCT / DE80 / 00138 Sec。 371日期：1981年6月5日 102（e）日期1981年5月28日PCT申请日1980年9月26日PCT公布。公开号WO81 / 01065 PCT 日期：1981年04月16日。一种用于将笛卡尔色坐标系的数字色度信号转换为数字彩色信号和极坐标系的饱和信号的方法，并且包括用于从笛卡尔坐标转换为极坐标的变换电路。

7. 发明授权

US3952187A Circuit for transforming rectangular coordinates to polar coordinates 失效
标题翻译：将直角坐标转换为极坐标的电路
公开(公告)号：US3952187A
公开(公告)日：1976-04-20
申请号：US591224
申请日：1975-06-27
申请人： John L. Robinson , Anthony Mattei
发明人： John L. Robinson , Anthony Mattei
IPC分类号： G06F1/03 , H04L27/22 , H04L27/38 , G06F7/38 , G06G7/22
CPC分类号： G06F1/03 , H04L27/38 , G06F2101/06
摘要： A circuit for transforming to polar coordinate form first and second binary number electrical signals representative of rectangular coordinates or quadrature components for a vector or phasor. The circuit utilizes a programmable memory in which values corresponding to the sine and cosine functions are stored. In the preferred form, the circuit utilizes binary number electrical signals of 10 bits. The most significant bit of the polar coordinate angle is found directly from the binary number representing one of the quadrature components, whereas the next two most significant bits of the angle are found using logic circuitry in association with the binary number signals representing the quadrature components. The remaining bits of the angle are found by use of a successive approximation technique in conjunction with the values stored in the memory. Once the angle is determined, the amplitude of the vector or phasor is determined by the use of the function P = Im(sin.theta.) + Re(cos.theta.) where Im and Re are the quadrature components. The coordinate transforming circuit is particularly useful in digital transmission and receiving systems in connection with modulation of transmitted signals and demodulation of received signals.
摘要翻译：用于转换为极坐标的电路形成代表向量或相量的直角坐标或正交分量的第一和第二二进制数电信号。该电路利用可编程存储器，其中存储对应于正弦和余弦函数的值。在优选的形式中，该电路使用10位的二进制数电信号。极坐标角的最高有效位直接从表示正交分量之一的二进制数发现，而角度的接下来的两个最高有效位是使用表示正交分量的二进制数信号的逻辑电路来找到的。通过使用逐次逼近技术结合存储在存储器中的值来找到角度的其余位。一旦确定了角度，则通过使用函数P = Im（sinθ）+ Re（cosθ）来确定矢量或相量的幅度，其中Im和Re是正交分量。坐标变换电路在与传输信号的调制和接收信号的解调有关的数字传输和接收系统中特别有用。

8. 发明授权

US3217317A Information transformation system 失效
标题翻译：信息转换系统
公开(公告)号：US3217317A
公开(公告)日：1965-11-09
申请号：US16809062
申请日：1962-01-23
申请人： SPERRY RAND CORP
发明人： MERWIN KLIMAN IVAN
IPC分类号： G01S7/295 , G06F1/03
CPC分类号： G06F1/03 , G01S7/295 , G06F2101/06

9. 发明授权

US3205349A Function generator 失效
标题翻译：函数发生器
公开(公告)号：US3205349A
公开(公告)日：1965-09-07
申请号：US14218961
申请日：1961-10-02
申请人： ELECTRONIC ASSOCIATES
发明人： BRYAN JOSEPH F , KILLIAN CHARLES R
IPC分类号： G06F1/02
CPC分类号： G06F1/02 , G06F2101/06

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