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的 OMP 算法
To illustrate this phenomenon in more detail, we next studied only for the OMP algorithm based on compressed sensing discuss pilot insertion methods and pilot performance impact on the estimated number of channels.
But when the pilot frequency is large, as the SNR increases gradually, compression perception of the performance of the OMP algorithm gradually enhanced, far more than the traditional LS channel estimation algorithm, and the LS algorithm performance curve tending to straight line meet performance bottlenecks, but compression perception of OMP algorithm still has a lot of room to improve.
但是,当导频数较多时,随着信噪比的逐渐增大,压缩感知的 OMP 算法的性能逐渐提升,远远超过传统的 LS 信道估计算法,并且 LS 算法的性能曲线趋于直线遇到性能提升瓶颈,但压缩感知的 OMP 算法仍旧有很大的提升空间。
Next, for the relatively optimal random placing form of a pilot, we continue our discussion of different number of pilot for compression perception of the influence of the OMP algorithm.
This highly ill-conditioned situation can not satisfy the sparse recovery condition studied in for the OMP algorithm even with high SNR.
即使使用高 SNR,这种高度病态条件的情况也无法满足OMP算法[13]研究的稀疏恢复条件。
When the component of is removed from, new components will be introduced in each direction of an atomic group selected, while in the OMP algorithm, the remaining sucked onto the orthogonal projection family, to avoid this problem.
Among them, the continuous way, said the pilot continuous distribute on 1st ~ 32nd carrier, we also simulated pilot continuous distribution in the 32 is the carrier, namely 512 ~ 481 is a carrier, found performance. Represents the 32 evenly distributed evenly on the 512 is a carrier, child carrier or about every 16 is the carrier to place a pilot, we found that the uniform distribution within the LS algorithm is optimal subcarrier in ways that do not apply in the OMP algorithm; Random distribution is guidance in 512 is the carrier frequency of random distribution, need to avoid both a continuous distribution of concentration and avoid the uniform distribution.
The conclusion of reality meaning is: if you want to get close to the estimated performance, compressed sensing the OMP algorithm of the required number of pilot in only 3.125% of the subcarrier number system, while the traditional LS algorithm takes up more than 12.5% system pilot sub-carrier to transmission of information, even if is such, LS algorithm is several orders of magnitude estimation performance than the OMP algorithm is still poor.
这个结论的现实意义是:若想要得到比较接近的估计性能,压缩感知的 OMP 算法所需的的导频数目只占系统子载波数的 3.125 % , 而传统的 LS 算法却需要占用高于 12.5% 的系统子载波来传输导频信息,即便是如此, LS 算法的估计性能仍然要比 OMP 算法差几个数量级。
For the convenience of discussion, we in multiples of the number of nonzero tap K = 6 principles to select the number of pilot, by two figure on the performance of the simulation show that the performance of the OMP algorithm as the pilot frequency to increase and the corresponding improvement, but from the beginning of the pilot number P = 36, the performance of the algorithm is gap is narrowing, the performance of the algorithm when P = 24 still with more number of pilot to channel estimation performance difference is not big, but when the number of pilot to reduce hours, algorithm of channel estimation performance drastically reduced.
为方便讨论,我们以非零抽头的个数 K = 6 的倍数原则来选取导频数目,由上两图的性能仿真表明, OMP 算法的性能随着导频数目的增多而得到相应的改善,但是从导频数目 P = 36 开始,算法的性能差距逐渐缩小,当 P = 24 时算法的性能仍然与用更多的导频数目进行信道估计时的性能相差不大,而当导频数目继续减小时,算法对信道的估计性能急剧降低。
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