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1. 发明授权

US5771184A System and method for solving quadratic equation in galois fields 失效
标题翻译：求解二次方程在Galois域中的系统和方法
公开(公告)号：US5771184A
公开(公告)日：1998-06-23
申请号：US542198
申请日：1995-10-12
申请人： Steven Lan , David H. Miller , Richard W. Koralek
发明人： Steven Lan , David H. Miller , Richard W. Koralek
IPC分类号： G06F7/72 , G06F17/12 , H03M13/00 , H03M13/35 , G06F7/00 , G06F15/00
CPC分类号： G06F7/726 , G06F17/12 , H03M13/00 , H03M13/35 , G06F2207/7209
摘要： An integrated circuit for error correction takes advantage of a novel data representation ("tower representation") for a selected finite Galois field. Using this representation, novel circuits which utilize the hierarchical structures in the subfields of the selected finite Galois field can be constructed. In one embodiment, GF(256) multipliers, GF(256) multiplicative inverse circuits, GF(256) logarithm circuits can be constructed out of GF(16) multipliers, GF(16) multiplicative inverse circuits and other GF(16) components. These GF(16) components, in turn, can be constructed from still simpler GF(4) components. In that embodiment, a user-programmable burstlimiter is provided. In that embodiment also, a novel quadratic equation solver is provided.
摘要翻译：用于纠错的集成电路利用了用于所选择的有限伽罗瓦域的新颖数据表示（“塔架表示”）。使用这种表示，可以构建利用选定的有限伽罗瓦域的子场中的层次结构的新颖电路。在一个实施例中，GF（256）乘法器，GF（256）乘法逆电路，GF（256）对数电路可以由GF（16）乘法器，GF（16）乘法反向电路和其他GF（16）分量构成。这些GF（16）组件又可以由更简单的GF（4）组件构成。在该实施例中，提供了用户可编程突发限幅器。在该实施例中，还提供了一种新的二次方程求解器。

2. 发明授权

US6101520A Arithmetic logic unit and method for numerical computations in Galois fields 失效
标题翻译：伽罗瓦域数值计算的算术逻辑单元和方法
公开(公告)号：US6101520A
公开(公告)日：2000-08-08
申请号：US63635
申请日：1998-04-20
申请人： Steven Lan , David H. Miller , Richard W. Koralek
发明人： Steven Lan , David H. Miller , Richard W. Koralek
IPC分类号： G06F7/72 , G06F7/00
CPC分类号： G06F7/724
摘要： An integrated circuit for error correction takes advantage of a novel data representation ("tower representation") for a selected finite Galois field. Using this representation, novel circuits which utilize the hierarchical structures in the subfields of the selected finite Galois field can be constructed. In one embodiment, GF(256) multipliers, GF(256) multiplicative inverse circuits, GF(256) logarithm circuits can be constructed out of GF(16) multipliers, GF(16) multiplicative inverse circuits and other GF(16) components. These GF(16) components, in turn, can be constructed from still simpler GF(4) components. In that embodiment, a user-programmable burstlimiter is provided. In that embodiment also, a novel quadratic equation solver is provided.
摘要翻译：用于纠错的集成电路利用了用于所选择的有限伽罗瓦域的新颖数据表示（“塔架表示”）。使用这种表示，可以构建利用选定的有限伽罗瓦域的子场中的层次结构的新颖电路。在一个实施例中，GF（256）乘法器，GF（256）乘法逆电路，GF（256）对数电路可以由GF（16）乘法器，GF（16）乘法反向电路和其他GF（16）分量构成。这些GF（16）组件又可以由更简单的GF（4）组件构成。在该实施例中，提供了用户可编程突发限幅器。在该实施例中，还提供了一种新的二次方程求解器。

3. 发明授权

US5787099A System and method for encoding and decoding data using numerical computations in galois fields 失效
标题翻译：使用Galois域中的数值计算对数据进行编码和解码的系统和方法
公开(公告)号：US5787099A
公开(公告)日：1998-07-28
申请号：US542277
申请日：1995-10-12
申请人： Steven Lan , David H. Miller , Richard W. Koralek
发明人： Steven Lan , David H. Miller , Richard W. Koralek
IPC分类号： H03M13/15 , H03M13/00
CPC分类号： H03M13/151
摘要： An integrated circuit for error correction takes advantage of a novel data representation ("tower representation") for a selected finite Galois field. Using this representation, novel circuits which utilize the hierarchical structures in the subfields of the selected finite Galois field can be constructed. In one embodiment, GF(256) multipliers, GF(256) multiplicative inverse circuits, GF(256) logarithm circuits can be constructed out of GF(16) multipliers, GF(16) multiplicative inverse circuits and other GF(16) components. These GF(16) components, in turn, can be constructed from still simpler GF(4) components. In that embodiment, a user-programmable burstlimiter is provided. In that embodiment also, a novel quadratic equation solver is provided.
摘要翻译：用于纠错的集成电路利用了用于所选择的有限伽罗瓦域的新颖数据表示（“塔架表示”）。使用这种表示，可以构建利用选定的有限伽罗瓦域的子场中的层次结构的新颖电路。在一个实施例中，GF（256）乘法器，GF（256）乘法逆电路，GF（256）对数电路可以由GF（16）乘法器，GF（16）乘法反向电路和其他GF（16）分量构成。这些GF（16）组件又可以由更简单的GF（4）组件构成。在该实施例中，提供了用户可编程突发限幅器。在该实施例中，还提供了一种新的二次方程求解器。

4. 发明授权

US07089276B2 Modular Galois-field subfield-power integrated inverter-multiplier circuit for Galois-field division over GF(256) 有权
标题翻译： GF（256）上Galois-field划分的模块化Galois-field子场集成逆变器乘法器电路
公开(公告)号：US07089276B2
公开(公告)日：2006-08-08
申请号：US10273002
申请日：2002-10-18
申请人： David H. Miller , Richard W. Koralek
发明人： David H. Miller , Richard W. Koralek
IPC分类号： G06F7/00
CPC分类号： G06F7/726 , G06F2207/3884
摘要： A modular Galois-field subfield-power integrated inverter-multiplier circuit that may be used to perform Galois-field division over GF(245). The integrated inverter-multiplier circuit combines subfield-power and parallel multiplication and inversion operations performed therein. The circuit is modular, has a relatively low gate count, and is easily pipelined because it does not use random logic. The circuit implements mathematical calculations known as “Galois-field arithmetic” that are required for a variety of digital signaling and processing applications such as Reed-Solomon and Bose-Chaudhuri-Hochquenghem (BCH) error-correction coding systems. Galois-field division is particularly difficult, typically requiring either a great deal of time or highly complex circuits, or both. The circuit uses a unique combination of subfield and power inversion techniques to carry out multiplicative inversion. Furthermore, the circuit uniquely implements Galois-field division by carrying out the multiplicative inversion and the multiplication simultaneously and in parallel. This substantially increases computation speed. The modularity and pipelineability of the present invention also make system design easier and increases the speed and reduces the gate count of an integrated circuit embodying the inverter-multiplier circuit.
摘要翻译：可以用于在GF（245）上执行Galois-field分割的模块化Galois-field子场功率集成反相器乘法器电路。集成逆变器倍增器电路组合了其中执行的子场功率和并行乘法和反相操作。电路是模块化的，具有相对较低的门数，并且由于不使用随机逻辑而容易流水线化。该电路实现了诸如Reed-Solomon和Bose-Chaudhuri-Hochquenghem（BCH）纠错编码系统的各种数字信令和处理应用所需的称为“伽罗瓦域算术”的数学计算。伽罗瓦域划分是特别困难的，通常需要大量的时间或高度复杂的电路，或两者兼有。该电路使用子场和功率反演技术的独特组合来执行乘法反演。此外，电路通过同时并行并行执行乘法反演和乘法来唯一地实现伽罗瓦域划分。这大大增加了计算速度。本发明的模块化和可流水性还使系统设计更容易，并且提高速度并降低体现逆变器倍增器电路的集成电路的门数。

5. 发明授权

US5872799A Global parity symbol for interleaved reed-solomon coded data 失效
标题翻译：用于交织芦苇编码数据的全局奇偶校验符号
公开(公告)号：US5872799A
公开(公告)日：1999-02-16
申请号：US687009
申请日：1996-07-16
申请人： Frank S. Lee , David H. Miller , Richard W. Koralek
发明人： Frank S. Lee , David H. Miller , Richard W. Koralek
IPC分类号： H03M13/15 , H03M13/27 , H03M13/29 , H04L1/00 , H03M13/00
CPC分类号： H04L1/0057 , H03M13/151 , H03M13/2735 , H03M13/29 , H04L1/0071
摘要： A circuit and method includes a global parity symbol in a multi-way interleaved Reed-Solomon code implementation to enhance error-detection capability of the Reed-Solomon code. In one embodiment, the global parity symbol is computed over both the data symbols and the check symbols of the Reed-Solomon code, thereby providing data detection capability for errors occurring in the check symbols.
摘要翻译：电路和方法包括在多路交错Reed-Solomon码实现中的全局奇偶校验符号，以增强Reed-Solomon码的检错能力。在一个实施例中，通过Reed-Solomon码的数据符号和校验符号来计算全局奇偶校验符号，从而为在校验符号中出现的错误提供数据检测能力。

6. 发明授权

US5812438A Arithmetic logic unit and method for numerical computations in galois fields 失效
标题翻译：用于数值计算的算术逻辑单元和方法
公开(公告)号：US5812438A
公开(公告)日：1998-09-22
申请号：US542262
申请日：1995-10-12
申请人： Steven Lan , David H. Miller , Richard W. Koralek
发明人： Steven Lan , David H. Miller , Richard W. Koralek
IPC分类号： G06F7/72
CPC分类号： G06F7/724
摘要： An integrated circuit for error correction takes advantage of a novel data representation ("tower representation") for a selected finite Galois field. Using this representation, novel circuits which utilize the hierarchical structures in the subfields of the selected finite Galois field can be constructed. In one embodiment, GF(256) multipliers, GF(256) multiplicative inverse circuits, GF(256) logarithm circuits can be constructed out of GF(16) multipliers, GF(16) multiplicative inverse circuits and other GF(16) components. These GF(16) components, in turn, can be constructed from still simpler GF(4) components. In that embodiment, a user-programmable burstlimiter is provided. In that embodiment also, a novel quadratic equation solver is provided.
摘要翻译：用于纠错的集成电路利用了用于所选择的有限伽罗瓦域的新颖数据表示（“塔架表示”）。使用这种表示，可以构建利用选定的有限伽罗瓦域的子场中的层次结构的新颖电路。在一个实施例中，GF（256）乘法器，GF（256）乘法逆电路，GF（256）对数电路可以由GF（16）乘法器，GF（16）乘法反向电路和其他GF（16）分量构成。这些GF（16）组件又可以由更简单的GF（4）组件构成。在该实施例中，提供了用户可编程突发限幅器。在该实施例中，还提供了一种新的二次方程求解器。

7. 发明授权

US5642366A Global parity symbol for interleaved reed-solomon coded data 失效
标题翻译：用于交织芦苇编码数据的全局奇偶校验符号
公开(公告)号：US5642366A
公开(公告)日：1997-06-24
申请号：US270858
申请日：1994-07-05
申请人： Frank S. Lee , David H. Miller , Richard W. Koralek
发明人： Frank S. Lee , David H. Miller , Richard W. Koralek
IPC分类号： H03M13/15 , H03M13/27 , H03M13/29 , H04L1/00 , H03M13/00
CPC分类号： H04L1/0057 , H03M13/151 , H03M13/2735 , H03M13/29 , H04L1/0071
摘要： A circuit and method includes a global parity symbol in a multi-way interleaved Reed-Solomon code implementation to enhance error-detection capability of the Reed-Solomon code. In one embodiment, the global parity symbol is computed over both the data symbols and the check symbols of the Reed-Solomon code, thereby providing data detection capability for errors occurring in the check symbols.
摘要翻译：电路和方法包括在多路交错Reed-Solomon码实现中的全局奇偶校验符号，以增强Reed-Solomon码的检错能力。在一个实施例中，通过Reed-Solomon码的数据符号和校验符号来计算全局奇偶校验符号，从而为在校验符号中出现的错误提供数据检测能力。

8. 发明授权

US09046602B2 Range localization system 有权
标题翻译：范围本地化系统
公开(公告)号：US09046602B2
公开(公告)日：2015-06-02
申请号：US13461557
申请日：2012-05-01
申请人： Barry L. Gardner , Richard W. Koralek
发明人： Barry L. Gardner , Richard W. Koralek
IPC分类号： G01S3/02 , G01S13/87 , G01S5/02 , G01S5/14 , G01S7/40 , G01S7/52
CPC分类号： G01S13/878 , G01S5/021 , G01S5/14 , G01S7/52004 , G01S2007/4091
摘要： The location of a transmitter can be determined by accurately measuring the elapsed time that it takes for a signal to propagate from a transmission source to a plurality of disparate receivers of a known location. By comparing the received transmitted signal to reference signal a range between each receiver and the transmitter can be determined. By intersecting the spheres defined by each range an accurate location of the transmitter can be obtained.
摘要翻译：发射机的位置可以通过精确测量信号从传输源传播到已知位置的多个不同接收机所需的经过时间来确定。通过将接收到的发送信号与参考信号进行比较，可以确定每个接收机与发射机之间的范围。通过与由每个范围限定的球相交，可以获得发射机的精确位置。

9. 发明申请

US20080117029A1 SYSTEM AND METHOD FOR RELIABLE COMMUNICATIONS IN A ONE-WAY COMMUNICATION SYSTEM 审中-公开
标题翻译：在单向通信系统中可靠通信的系统和方法
公开(公告)号：US20080117029A1
公开(公告)日：2008-05-22
申请号：US11933188
申请日：2007-10-31
申请人： Anthony E. Dohrmann , Clinton J. O'Conner , Richard W. Koralek
发明人： Anthony E. Dohrmann , Clinton J. O'Conner , Richard W. Koralek
IPC分类号： G08B9/00
CPC分类号： G08B25/008 , G08B25/001 , G08B25/007 , G08B25/009 , G08B29/22 , H04M11/04
摘要： An alarm system, including ease of programming of a family or group of interoperating alarm devices via a learn mode that detects new devices and provides reliable accounting of the group via state dumps to an external system. Reliable communications with the external system are provided via a set of protocols. Disabling of the alarm system is prevented, by transmitting a pre-alarm signal prior to expiration of an entry delay, and by verifying communications with an external device, prior to an alarm-triggering event. Multi-priority message code assignment, including error tolerance, employs n-bit codes with maximized error tolerance. Message transmissions include multiple levels of error protection. The group of monitored alarm devices can be easily set up, purchased and activated by a consumer, and do not become permanent fixtures.
摘要翻译：一种报警系统，包括易于编程的家庭或一组互操作的报警设备，通过学习模式检测新设备，并通过状态转储提供对组的可靠记帐到外部系统。通过一组协议提供与外部系统的可靠通信。在报警触发事件发生之前，通过在进入延迟到期之前发送预报警信号，并通过验证与外部设备的通信来防止报警系统的停用。多优先级消息代码分配（包括容错）采用具有最大误差容限的n位代码。消息传输包括多级错误保护。监控报警装置组可以方便地由消费者进行设置，购买和激活，不会成为永久性的灯具。

10. 发明授权

US6052812A Messaging communication protocol 有权
标题翻译：消息通信协议
公开(公告)号：US6052812A
公开(公告)日：2000-04-18
申请号：US219109
申请日：1998-12-22
申请人： Zongbo Chen , Wade Langill , Richard W. Koralek , Brian D. Korek , Richard C. Beerman
发明人： Zongbo Chen , Wade Langill , Richard W. Koralek , Brian D. Korek , Richard C. Beerman
IPC分类号： H03M13/15 , H03M13/43 , H04L1/00 , H04L1/06 , H04L1/16 , H04L1/18 , H03M13/00
CPC分类号： H04L1/18 , H03M13/15 , H03M13/43 , H04L1/0001 , H04L1/06 , H04L1/0003 , H04L1/16
摘要： The present invention uses an acoustic modem embedded in a remote device enhanced with automatic repeat request and forward error correction routines to provide reliable transfer of electronic messages from the messaging server to the remote device. This may provide significantly better error correction than standard PC modems. Also the present invention, may provide a fast, reliable connection sequence by use of a preamble frame. According to an embodiment of the present invention, a method of communicating messages between a messaging server and a remote device is provided. The method includes a variety of steps such as establishing a connection between the messaging server and the remote communication device by transmitting a preamble frame, exchanging data frames between the remote device and the messaging server, detecting and correcting errors in received frames, and re-transmitting received frames, if errors are uncorrectable.
摘要翻译：本发明使用嵌入在具有自动重复请求和前向纠错例程的远程设备中的声学调制解调器来提供电子消息从消息收发服务器到远程设备的可靠传送。这可能比标准PC调制解调器提供显着更好的纠错。此外，本发明可以通过使用前置码帧来提供快速，可靠的连接序列。根据本发明的实施例，提供了一种在消息收发服务器和远程设备之间传送消息的方法。该方法包括各种步骤，例如通过发送前置码帧，在远程设备和消息收发服务器之间交换数据帧，检测和纠正接收到的帧中的错误，建立消息传送服务器与远程通信设备之间的连接，发送接收的帧，如果错误是不可校正的。

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