查询词典 basis of linear space

Moreover, we introduce an auxiliary operator, and then by means of its spectral properties and theory of perturbations of bounded linear operators to prove that there is a sequence of generalized eigenvector system which forms a Riesz basis for Hilbert state space.

通过引入一个辅助算子，利用它的谱性质以及有界线性算子的扰动理论，得到系统的广义本征向量的完整性以及Riesz基性质。

Then we apply it to a C-module V, where V is a n-dimensional vector space and the operator from C×V to V is defined by a linear transformation T of V, then we get a unique factorization of V and a right basis under which the transformation matrix of T is T's Jordan canonical form.

然后把它应用到一个具体的C-模V，其中V是n维线性空间，C×V到V的映射由V中的一个线性变换T定义，从而得到V的一个唯一分解，再结合线性代数有关知识给出V的一组基，T在这组基下的变换矩阵恰为T的Jordan标准形。

Statistic analysis on IR image characteristics shows that IR target has relatively more and larger regions which are of same quality, mainly expressed by smooth images and by that the energy distribution is concentrated on low frequency band in L〓 linear normed space, while large quantity of background regions show as texture images and their energy in L〓 space is concentrated on high frequency band. Based on this difference, the IR target segmentation method on the basis wavelet transformation is proposed.

通过对红外图像特征的统计分析证明，红外目标含有较多较大的同质区，主要表现为平滑图像，在L〓线性赋范空间的能量分布集中在低频，而大量的背景区域表现为纹理图像，在L〓空间中能量集中在高频部分，根据这一差别，提出了一种基于小波变换的红外目标分割方法。

In this algorithm, first, the nonlinear kernel mapping is used to map the face data into an implicit feature space, and then a linear transformation which produces orthogonal basis functions is performed to preserve locality geometric structures of the face image.

该算法首先利用核的方法提取人脸图像中的非线性信息，并将其投影在一个高维非线性空间，在保证各向量正交的同时，通过局部保持投影算法做一线性映射，从而更好地提取人脸非线性局部邻域结构特征。

The paper investigates both block-type pilot linear minimum mean square error algorithm and IEEE802.16 OFDM channel estimation analysis. Simulation results confirm the block-type pilot structure is more suitable for IEEE802.16 system. An optimal pilot setting algorithm, based on space frequency domain, is explored and the pilot chart is presented. The proposed algorithm finds its application in MIMO-OFDM. Simulation results show the algorithm presents a good approximation to the perfect channel state information curve, with about 2dB difference in SNR. The simulation results also demonstrate the algorithm achieves fairly high stability in the environment of fast fading, performance of the proposed algorithm is better that of pilot training channel estimation.3. Taking into account the characteristics of IEEE802.16 OFDM system, OFDM system simulation platform is constructed in Matlab, exploiting simulink as a tool. OFDM modulation and demodulation simulation system are configured on LabVIEW platform. All the system signal processing is simulated, including defining system parameters, designing modulation model, and verifying all the proposed algorithms under different environments, such as white Gaussian noise, multi-path fading, with or without guard interval etc. Bit error performance is evaluated. The research provides valid theoretical basis for practical OFDM system performance evaluation.4. Taking advantage of software radio, the paper designs a hardware platform with both 256-IFFT/FFT and 512-IFFT/FFT OFDM schemes co-existing in one platform. You can predetermine one from the two schemes to carry out almost the same model function with different system performance and parameter setting.5. Referring to IEEE802.16 standard, the paper proposes a design method for generating signals and frames suitable for laboratory investigations implemented in laboratory environment.6. Based on 6701evm digital evaluation card, combined with analogy front-end, the paper designs a DSP software model to deal with baseband signal processing. An overall OFDM scheme, with modulation and demodulation function, is accomplished.

讨论分析了MIMO-OFDM中一种基于空频域的最优导频设置算法，给出了导频图案，通过仿真实验表明，该算法与理想的信道状态信息曲线非常接近，信噪比差距约在2dB左右，并且在快衰落条件下具有较好的稳定性，其性能要优于基于前导训练的信道估计方法。3、根据IEEE802.16OFDM系统特点，论文分别在Matlab中应用Simulink工具构建OFDM系统仿真平台、在LabVIEW平台上实现了OFDM调制解调仿真系统，模拟了整个系统的信号流程，进行了OFDM仿真系统参数的选择和调制模块的仿真设计、论证各算法性能，并根据各种不同的条件：例如高斯噪声、多径衰落、有无保护间隔等，对系统的误码特性进行了评估，为正确评价实际OFDM系统的性能提供了有效的理论依据。4、论文以软件无线电思想作为指导，提出了以256点IFFT／FFT为核心和以512点IFFT／FFT为核心的两种OFDM算法模式并存于同一个硬件平台、且可预选的方案，它们在参数选取和性能指标上有所差异，均实现了相似的模块和功能。5、论文参考IEEE 802.16无线网络标准的参数设置，针对本设计系统的应用环境和系统硬件的性能速率，提出了一种应用于实验室环境的信号结构、帧格式等参数设计。6、论文基于TI公司的6701evm数字评估板卡，结合模拟前端搭建数字中频平台，设计了基带处理的DSP软件模块并进行系统调试，基本实现了一套完整的OFDM调制解调方案。

Data structure is a professional and technical basis for classes, and he can help you learn computer analysis of the data processing structure characteristics, in order to choose the appropriate application of the logic of data structures, storage structures and the corresponding algorithms, and preliminary analysis of algorithms of time and space analysis techniques, But some algorithm data structure (linear scales, warehouse and accounts, string, etc.) will be some difficulty in understanding the data structure algorithms demonstration system is an effective way to resolve this difficult, and he gives a more intuitive understanding.

数据结构是一门专业技术基础课，他能帮助大家学会分析研究计算机加工的数据结构的特性，以便为应用涉及的数据选择适当的逻辑结构、存储结构及其相应的算法，并初步学会算法的时间分析和空间分析的技术，但数据结构中的一些算法（线性表、栈和队列、串等）在理解上会有些困难，数据结构算法演示系统正是解决这个困难的一种有效方法，他给人更直观的理解。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新