查询词典 multiplication theorem

In the system, any complex number can be uniquely expressed by a single digit string, and the subtraction involved in the original complex multiplication is eliminated essentially.

二、在矩阵-矢量运算算法方面，提出了以负二进制编码为代表的全并行内积算法，一步得到混合进制表示的乘积矢量结果。

This chaptergives the complete deduction process and the expression of each compensation factor.The whole algorithm proposed only includes FFT and complex multiplication, withinterpolation free, and hence it is prone to implement in project.

本章给出了算法的完整推导过程和各补偿因子的表达式，整个算法只包含傅立叶变换和复乘操作，不涉及插值，易于工程实现。7。

In the condition of long pseudo code and large carrier Doppler frequency shift, the number of FFT points in the conventional synchronous acquisition algorithm is too large, the complex multiplication is of high computational complexity and large time cost, and the parameter evaluation acquired in a long duration is not applicable for carrier tracking because it is too old.

当伪码较长、载波多普勒频移较大时，传统的同步捕获算法进行的FIT点数较多，复数来加运算量大，耗时长，而在校长的捕获时间内，捕获得到的参数估计过于陈旧，无法应用于载波跟踪，为此，文中提出了一种改进的快速同步方法。

Let FFT, complex multiplication and IFFT be fulfilled with the same hardware structure.

片内一级指令和数据高速缓存各64KB，片外二级高速缓存最多可达8MB。

This method is an improvement of existing methods to construct nearly order elliptic curves using complex multiplication. To get elliptic curves with nearly prime orders, the time complexity of this method is O , but to get elliptic curves with prime orders, the time complexity arises to O .

该算法是现有利用复乘构造近乎素数阶椭圆曲线方法的改进，利用该算法构造近乎素数阶椭圆曲线的时间复杂性为O，同时，该算法可用于构造素数阶椭圆曲线，但时间复杂性上升为O。

Makes concrete to the Commercial bank, displays cannot repay principal and interest on time for the borrower. Since the late-1980s, along with the financial globalized tendency, the money market fluctuation has intensified, the bankrupt constitutive property to increase as well as the network economy rapidly expand, the financial organ faces is being gradually complex and the multiplication credit risks.

具体到商业银行，表现为借款人不能按期还本付息。20世纪80年代末以来，随着金融的全球化趋势、金融市场波动加剧、破产的结构性增加以及网络经济的迅速发展，金融机构面临着愈渐复杂和倍增的信用风险。

to reduce the impact of carrier frequency offset in ofdm system,this thesis designs a new carrier frequency offset estimation scheme for ofdm system.the carrier frequency offset estimation includes acquisition and tracking.we adopt variable step size adaptive algorithm.the acquisition range of the proposed algorithm is as large as one half of the overall signal bandwidth.through this method we can not only avoid the feedback by using forward error correction,but also reduce the times of complex multiplication in order to reduce the power consumption of the system.this algorithm not only has low complexity and fast convergence nut also can improve the demodulation performance of ofdm system.computer simulation illustrates the superior performance of the proposed algorithm with regard to estimation accuracy in both awgn channel and multi—path channel.

摘 要：为了减小正交频分复用系统受频率偏差的影响，在ofdm系统中设计了一种新的载波频偏估计算法。频偏估计包括跟踪和捕获两个阶段，文中采用变步长自适应算法来进行跟踪，这个跟踪算法的捕捉范围是整个信号带宽的一半。通过此方法，不但可以利用前向纠错的方式来避免反馈，而且可以缩减复数乘法的次数以降低计算复杂度和系统功耗。该方法运算复杂度低，并具有较好的收敛性，能改善odfm的解调性能。从计算机的仿真效果可以看出无论是在awgn信道上还是在多径信道上都表现出了卓越的性能。

Definition : plural addition, the plural subtraction, multiplication complex, realistic Ministry for the imaginary part of the plural output, the same judge two plural.

定义方法：复数加法、复数减法、复数乘法、求实部，求虚部，将复数输出，判断两个复数相等。

It is compact in structure, stable and efficient for practical uses with high package density. 7. Based on negative binary coding method, a modified two-dimensional crossed-ring interconnection network and four subarrays outproduct technique, an optoelectronic parallel martix-vector complex multiplication processor is presented.

借助负二进制数字表达、空间编码加权-移位四区域复数外积乘法技术和改进的矩阵-矢量啮合算法，研制了光电混合并行处理的矩阵-矢量乘法器。

Chapter 4 establishes the theory of convex fuzzy mappings: The concepts, such as Jensen's inequality, positively homogeneous, infimal convolution, right scalar multiplication and convex hull are introduced. The corresponding theorems are demonstrated by using the parametric representations of fuzzy numbers. In anti-fuzzy number space, the conjugate mapping of convex fuzzy mapping is concerned, and convexities of conjugate set and conjugate mapping of convex fuzzy mapping are proved. The notions of subgradient, subdifferential, differential with respect to convex fuzzy mappings are investigated, which provides the basis of the theory of fuzzy extremum problems.

在第4章中，建立了有关凸模糊映射的理论：建立了关于凸模糊映射的Jensen不等式、模糊正齐次映射、凸模糊映射的下卷积、右数乘和凸包等概念，利用模糊数的参数化表示，给出了相应的定理；在反模糊数空间，对凸模糊映射的共轭也作了探讨，证明了凸模糊映射的共轭集合和共轭映射都是凸的；最后对凸模糊映射的次梯度、次微分和微分等概念进行了研究，为模糊极值理论打下了基础。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。