论文标题
使用编码的量化样品及时估算
Timely Estimation Using Coded Quantized Samples
论文作者
论文摘要
量化和编码对高斯 - 马尔科夫的估计质量的影响，即Ornstein-Uhlenbeck。从该过程中获取样品，进行量化，然后使用无限的增量冗余或固定冗余编码方案进行编码。接收器消耗固定的处理时间，以解码并将反馈发送给发射器。解码的消息用于构建该过程的最小均值误差（MMSE）估计，作为时间的函数。这被证明是信息年龄的越来越多的功能，被定义为自采样时间与最新成功解码消息有关的抽样时间以来所经过的时间。这种（年龄）的功能取决于量化位，代码字长度和接收器处理时间。对于每个编码方案，目标是优化采样时间，以使长期平均MMSE最小化。然后，这是在一般增加的年龄量功能的设置中的特征，不一定与MMSE相对应，MMSE可能在其他情况下具有独立的兴趣。
The effects of quantization and coding on the estimation quality of a Gauss-Markov, namely Ornstein-Uhlenbeck, process are considered. Samples are acquired from the process, quantized, and then encoded for transmission using either infinite incremental redundancy or fixed redundancy coding schemes. A fixed processing time is consumed at the receiver for decoding and sending feedback to the transmitter. Decoded messages are used to construct a minimum mean square error (MMSE) estimate of the process as a function of time. This is shown to be an increasing functional of the age-of-information, defined as the time elapsed since the sampling time pertaining to the latest successfully decoded message. Such (age-penalty) functional depends on the quantization bits, codeword lengths and receiver processing time. The goal, for each coding scheme, is to optimize sampling times such that the long term average MMSE is minimized. This is then characterized in the setting of general increasing age-penalty functionals, not necessarily corresponding to MMSE, which may be of independent interest in other contexts.
