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...= 1 s Ttr = 5 µs G0 = 70 dB the constraints are all linear, the resulting Linear Programming (LP) problem can thus be efficiently solved. There exist many efficient algorithms to solve the LP problem =-=[14]-=-. In this paper, we use an existing software package SeDuMi [18]. Note that the optimal δij may not lead to an integer number of packets for link i → j that is given by Wij = Siδij. In this paper we r...

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...or analog circuits the leakage power consumption is usually much smaller than the power consumption in the active mode (which may not be true for digital circuits with deep sub-micron CMOS technology =-=[13]-=-), it is neglected in the total energy consumption. However, it is straightforward to extend our model to include the energy consumption in the sleep mode. For uncoded MQAM, as discussed in [11], the ...

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...he energy per bit consumed in its end-to-end transmission, energy minimization requires a joint design across all these layers as well as the underlying hardware where the energy is actually expended =-=[1]-=-. While there has been much recent work in cross-layer design for wireless networks [2]-[6], the hardware is typically ignored. Network optimization including hardware considerations was investigated ...

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...nging according to the same distribution and the combination of source/destination pairs is also randomly changing in an uniform way. An alternative criterion is tosmaximize the minimum node lifetime =-=[15]-=-, [16]. While we focus on the first criterion in our work, the second criterion will be discussed briefly in Section III. III. ROUTING AND MAC OPTIMIZATION WITH FIXED LINKS In a typical sensor network...

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...hile there has been much recent work in cross-layer design for wireless networks [2]-[6], the hardware is typically ignored. Network optimization including hardware considerations was investigated in =-=[7]-=--[11], where the authors consider a joint design between the link layer and the silicon layer. By considering constraints such as power consumption imposed by the underlying circuits, optimal modulati...

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...according to the same distribution and the combination of source/destination pairs is also randomly changing in an uniform way. An alternative criterion is tosmaximize the minimum node lifetime [15], =-=[16]-=-. While we focus on the first criterion in our work, the second criterion will be discussed briefly in Section III. III. ROUTING AND MAC OPTIMIZATION WITH FIXED LINKS In a typical sensor network, if t...

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...oint design across all these layers as well as the underlying hardware where the energy is actually expended [1]. While there has been much recent work in cross-layer design for wireless networks [2]-=-=[6]-=-, the hardware is typically ignored. Network optimization including hardware considerations was investigated in [7]-[11], where the authors consider a joint design between the link layer and the silic...

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...as no effect on the energy consumption. However, different scheduling orders can lead to different network delays. The details are omitted here due to the space limitations and are fully addressed in =-=[19]-=-. For large networks, we can reduce the computation complexity by dividing the whole network into clusters where each cluster has one master node that collects all the information within the cluster. ...

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... a joint design across all these layers as well as the underlying hardware where the energy is actually expended [1]. While there has been much recent work in cross-layer design for wireless networks =-=[2]-=--[6], the hardware is typically ignored. Network optimization including hardware considerations was investigated in [7]-[11], where the authors consider a joint design between the link layer and the s...

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... there has been much recent work in cross-layer design for wireless networks [2]-[6], the hardware is typically ignored. Network optimization including hardware considerations was investigated in [7]-=-=[11]-=-, where the authors consider a joint design between the link layer and the silicon layer. By considering constraints such as power consumption imposed by the underlying circuits, optimal modulation sc...

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... i → j that is given by Wij = Siδij. In this paper we round the resulting Wij to obtain integer values with slight performance degradation. To minimize the degradation, relaxation methods proposed in =-=[12]-=- can be used to further refine the result. In order to calculate the actual total energy consumption, the related system parameters need to be defined. We assume the same setup as in [11] and the main...

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...resulting Linear Programming (LP) problem can thus be efficiently solved. There exist many efficient algorithms to solve the LP problem [14]. In this paper, we use an existing software package SeDuMi =-=[18]-=-. Note that the optimal δij may not lead to an integer number of packets for link i → j that is given by Wij = Siδij. In this paper we round the resulting Wij to obtain integer values with slight perf...