However, from the view of point of frequency overlap, sampling the sinusoidal signal with Nyquist rate violates the demand of the sampling theorem. A thorough analysis of this problem in frequency domain is presented, and a correction of the aforementioned conclusion is given.
但从频域混叠的角度讲，Nyquist率采样在正弦信号的特殊情况下，是不符合采样定理要求的，故采用频域分析方法对Nyquist采样时的频谱混叠现象进行了分析，澄清了关于正弦信号Nyquist采样问题的认识。
In reality, the signal plotted in Figure 3 is a discrete-time signal, but the sampling rate is 16 times the Nyquist rate.
在现实中，信号绘制图3是一个离散时间信号，但采样率是16倍奈奎斯特速率。
Second, based on the performance in the sense of OB, it is proven that NMT can break through Nyquist rate.
其次，以占用带宽意义下的系统性能为基础，证明了在必要带宽意义下NMT可以突破Nyquist速率。
This converter includes a high-bandwidth track-and-hold that gives excellent spurious performance up to and beyond the Nyquist rate.
此转换器包括一个高带宽的采样和保持，让优秀的杂散性能达到和超过奈奎斯特率。
The symbol rate of traditional modulation method is limited by Nyquist rate because of OR.
正交约束使得传统调制方法的符号速率不可能超过Nyquist速率。
The samples according to Nyquist sample rate in one period of OFDM symbol are independent identically distributed random variables.
在过采样条件下，分析了正交频分复用系统在不同采样率时，信号峰值平均功率比的统计特性。
To adequately preserve the shape of your signal, you should sample at a much higher rate than the Nyquist frequency, generally at least 5 or 10 times the maximum frequency component of your signal.
为充分保证信号的波形不失真，你的采样频率应比Nyquist频率高出许多，通常是你信号最高频率的5到10倍。
The experiment results show that ORTH is more efficient than conventional OFDM in approaching Nyquist rate.
实验表明，与传统的OFDM相比，ORTH在逼近Nyquist速率方面具有更高的实现效率。
Measurement results show that at an output rate of 1KS/s and a supply voltage 0.55V, the SA ADC provides a rail-to-rail input range and achieves a signal-to-noise-distortion ratio of 50.7dB and an effective resolution bandwidth up to the Nyquist bandwidth (500Hz). Its power consumption is as low as 35 nW, corresponding to an energy figure of merit as good as 124fJ/conversion-step. The power of the proposed ADC is 24 times better than the lowest record of the state-of-the-art works as far as we know.
量测结果显示，当使用供应电压为0.55伏特且输出频率为1KS/s时，此连续近似式类比数位转换器可提供轨对轨的输入范围，以及50.73dB的讯号对杂讯谐波比，且此类比数位转换器之功率消耗只有35nW，而其有效解析度频宽可以到达奈奎斯频宽(500Hz)，此时相对应之能源FOM可达124fJ/conversion-step，与已知文献中功耗最低之类比数位转换器相较，此类比数位转换器消耗功率仅为其24分之一，为目前已知消耗功率最低的类比数位转换器。
The condition, which should be met by the address code used for the differential spectrum amplitude encoding scheme, is discussed. The bit error rate of the OOK and the bipolarity encoding scheme is analyzed with chirp and Johnson-Nyquist noise taken into account.
讨论了用于差分频谱幅度编码方案中的地址码应满足的条件，对OOK和双极性编码系统方案，在考虑散弹噪声和热噪声的条件下，分析了误码率性能。
This system allows the transmission speed very close to the Nyquist rate with little sensitivity to delay and amplitude distortion caused by the transmission medium when a large number of channels are used.
这种系统在复用路数无限增加时可以达到奈奎斯特速率，并且对传输媒介引超的延迟和幅度失真不灵敏。
Based on time delay technology and MUSIC algorithm, a novel estimating multiple frequencies approach of signal with sampling rate which is least Nyquist sampling rate is presented in this paper.
在信号欠采样环境下，本文基于时延技术和MUSIC算法提出了一种新的信号多频率估计方法。
When a signal is analyzed in the fractional Fourier domain, the lower sampling-rate could be adopted than the Nyquist sampling-rate, which means that the traditional sampling-rate conversion theory, founded in the frequency domain, could be disabled under the circumstances.
而在分数阶Fourier域中分析信号完全可用较低的抽样频率来抽样（低于Nyquist抽样率），这就意味着建立在频域上的传统抽样率转换理论将不再适用。
Traditional signal processing is based on the Nyquist sampling theorem, in which the signal is usually sampled firstly and then compressed, and the signal sampling and processing rate must be higher than the Nyquist frequency.
传统的信号处理是以奈奎斯特采样定理为基础的，信号通常先采样后压缩，而且必须以高于奈奎斯特频率的速率对信号进行采样和处理。
The signal sampling process is restricted by the Nyquist sampling theorem, which requires that the sampling rate must be 2 times greater than the input signal frequency.
而信号采样过程受到奈奎斯特采样定理的限制，它要求采样率必须大于输入信号频率的2倍以上。
According to the Nyquist Theorem, the sampling rate must be more than twice the maximum frequency component of the signal being measured.
根据Nyquist定理，采样率必须是被测信号最高频率分量的两倍以上。
The theory broke the bounds of the Nyquist Sampling Theorem, which reduce the sampling rate and save system resources.
该理论提出打破了奈奎斯特抽样定理的束缚，不仅降低了采样率，而且大大地节约了系统资源。
Aiming at the drawback that Shannon theory can only process bandlimited signals and it requires the sampling rate is not less than Nyquist rate, this paper studies a nonuniform periodic sampling theory in wavelet space, then presents the precondition and theory base beyond the Nyquist rate. Sampling theory to the non-bandlimited signal field is enlarged.
继Shannon采样定理之后，许多数学家研究了Shannon采样定理的各种推广形式，其中特别值得注意的是1992年Walter考察了小波函数的性质，认识到Shannon插值函数sinc实际上是多分辨空间的尺度函数，将Shannon采样定理推广到小波子空间的采样定理［2］。
aiming at the drawback that shannon theory can only process bandlimited signals and it requires the sampling rate is not less than nyquist rate, this paper studies a nonuniform periodic sampling theory in wavelet space, then presents the precondition and theory base beyond the nyquist rate. sampling theory to the non-bandlimited signal field is enlarged. for any signal in the space spanned by compactly supported scaling function, its wavelet coefficients can be estimated by the nonuniform periodic samples and the quadrature mirror filter theory, then its reconstruction expression is gained. only the finite impulse response filters but not the infinite impulse response filters are used in this method, which reduced the difficulty of physical realization. the simulation results indicate that the method is so effective that its relative reconstruction error is less then 1%.
摘 要：针对shannon采样定理只能处理带限信号和要求采样率不低于nyquist率的缺陷，研究了小波空间中的一种非均匀周期采样理论，给出了定理成立的条件及其突破nyquist率限制的理论依据，将采样理论扩展到了非带限信号领域。对于紧支尺度函数张成的子波空间中的任意信号，可以利用非均匀周期采样所得的样本以及正交镜像滤波器理论求出其小波系数的估计值，进而得到信号的重建表达式。该方法在信号重建的过程中用到的全是有限冲击响应滤波器，避免了无限冲击响应滤波器的出现，降低了实际物理实现的难度。计算机仿真结果表明该方法是切实有效的，信号重建的相对误差小于1%。
Furthermore, if the density of sampling points is more than 2.135 times of Nyquist rate, the upper limit of truncation error decreases exponentially.
在采样密度大于Nyquist率2.135倍的条件下，截断误差的上界随着样点个数的增加呈指数衰减；