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In applications such as remote estimation and monitoring, update packets aretransmitted by power-constrained devices using short-packet codes over wirelessnetworks. Therefore, networks need to be end-to-end optimized using informationfreshness metrics such as age of information under transmit power andreliability constraints to ensure support for such applications. Forshort-packet coding, modelling and understanding the effect of block codewordlength on transmit power and other performance metrics is important. Tounderstand the above optimization for short-packet coding, we consider theoptimal tradeoff problem between age of information and transmit power underreliability constraints for short packet point-to-point communication modelwith an exogenous packet generation process. In contrast to prior work, weconsider scheduling policies that can possibly adapt the block-length ortransmission time of short packet codes in order to achieve the optimaltradeoff. We characterize the tradeoff using a semi-Markov decision processformulation. We also obtain analytical upper bounds as well as numerical,analytical, and asymptotic lower bounds on the optimal tradeoff. We show thatin certain regimes, such as high reliability and high packet generation rate,non-adaptive scheduling policies (fixed transmission time policies) areclose-to-optimal. Furthermore, in a high-power or in a low-power regime,non-adaptive as well as state-independent randomized scheduling policies areorder-optimal. These results are corroborated by numerical and simulationexperiments. The tradeoff is then characterized for a wireless point-to-pointchannel with block fading as well as for other packet generation models(including an age-dependent packet generation model).

Tradeoff of age-of-information and power under reliability constraint for short-packet communication with block-length adaptation