the additional power and area overhead

The additional power and area overhead refers to the increase in power consumption and silicon real estate required when implementing a certain feature or function in a chip or system. This overhead is usually incurred when adding more complex circuits, additional logic gates, or larger memory blocks to a design. The increase in power consumption and silicon area can impact the overall performance, power efficiency, and cost of the system. Designers must carefully balance the trade-offs between functionality, performance, and cost when deciding whether to add new features to a design.

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Otherwise, when the data is offloaded for edge execution (xti = 1), we denote Pit as the transmit power constrained by the maximum power Pt ≤ Pmax and τtT as the amount of time iii allocated to the ith WD for computation offloading. Here, τit ∈ [0, 1] and 􏰎Ni=1 τit ≤ 1. The energy consumed on data offloading is Eit,O = PitτitT. Similar to [4] and [8], we neglect the delay on edge computing and result downloading such that the amount of data processed at the edge within the time frame is Dt =WτitTlog 􏰈1+Pithti􏰉=WτitTlog 􏰈1+Eit,Ohti􏰉, ∀xt =1, (2) i,O vu 2 N0 vu 2 τitTN0 i where vu ≥ 1 denotes the communication overhead and N0 denotes the noise power.，Diot是怎么得到的

在给定的模型中，Diot是指在第i个设备上进行边缘计算的数据量。根据公式(2)，可以看出Diot是由W、τit和Pit共同决定的。其中，W是设备需要进行计算的数据量，τit是设备在一定时间内用于边缘计算的时间比例，Pit是设备在进行数据离载时所能使用的最大传输功率。公式(2)中的log项是通过信噪比和传输功率计算得出的数据传输速率。因此，Diot可以根据这些参数计算出来。

Otherwise, when the data is offloaded for edge execution (xti = 1), we denote Pit as the transmit power constrained by the maximum power Pt ≤ Pmax and τtT as the amount of time iii allocated to the ith WD for computation offloading. Here, τit ∈ [0, 1] and 􏰏Ni=1 τit ≤ 1. The energy consumed on data offloading is Eit,O = PitτitT. Similar to [4] and [8], we neglect the delay on edge computing and result downloading such that the amount of data processed at the edge within the time frame is Dt =WτitTlog 􏰉1+Pithti􏰊=WτitTlog 􏰉1+Eit,Ohti􏰊, ∀xt =1, (2) i,O vu 2 N0 vu 2 τitTN0 i where vu ≥ 1 denotes the communication overhead and N0 denotes the noise power. Let Dit 􏰗 (1 − xti )Dit,L + xti Dit,O and Eit 􏰗 (1 − xti )Eit,L + xti Eit,O denote the bits computed and energy consumed in time frame t. We define computation rate rit and power consumption eti in 9 the tth time frame as ttttttt rt=Di=(1−xi)fi+xtWτilog􏰉1+ei,Ohi􏰊,et=Ei=(1−xt)κ􏰁ft􏰂3+xtet ,(3) i T φ ivu 2 τitN0 i T i i ii,O where eti,O 􏰗 Eit,O/T. For simplicity of exposition, we assume T = 1 without loss of generality in the following derivations.，解释cit

这段文字描述了一种边缘计算下的功耗和数据处理速率模型。其中，Pit表示限制最大功率Pt≤Pmax的传输功率，τtT表示分配给第i个终端设备的计算离线化时间。τit∈[0,1]且∑iτit≤1。数据离线化时的能量消耗为Eit,O=PitτitT。忽略边缘计算和结果下载的延迟，数据在时间框架内在边缘处理的数量为Dt=WτitTlog(1+Pithti)=WτitTlog(1+Eit,Ohti)，当xt=1时。Dit和Eit分别表示在时间框架t内处理的比特数和所消耗的能量。rit和eti分别表示在第t个时间框架中的计算速率和功耗。其中，et i,O = Eit,O/T。整个模型的目的是为了简化边缘计算下的计算速率和能量消耗的计算。