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We consider a wireless node that randomly receives data from different sensorunits. The arriving data must be compressed, stored, and transmitted over awireless link, where both the compression and transmission operations consumepower. Specifically, the controller must choose from one of multiplecompression options every timeslot. Each option requires a different amount ofpower and has different compression ratio properties. Further, the wirelesslink has potentially time-varying channels, and transmission rates depend oncurrent channel states and transmission power allocations. We design a dynamicalgorithm for joint compression and transmission, and prove that it comesarbitrarily close to minimizing average power expenditure, with an explicittradeoff in average delay. Our approach uses stochastic network optimizationtogether with a concept of place holder bits to provide efficient energy-delayperformance. The algorithm is simple to implement and does not requireknowledge of probability distributions for packet arrivals or channel states.Extensions that treat distortion constraints are also considered.

Dynamic Data Compression with Distortion Constraints for Wireless Transmission over a Fading Channel