Update on Overleaf.

This commit is contained in:
Lukas Steiner
2024-11-14 16:04:47 +00:00
committed by node
parent 3bc18f10ac
commit 27195b1e91

View File

@@ -913,9 +913,9 @@ For now, the transmission line is also only modeled as a parasitic capacitance w
% \label{fig:enter-label}
%\end{figure}
%
At a frequency of \SI{100}{\mega\hertz}, the dissipated power is \SI{5.7}{\milli\watt}, which is close to the termination power of the circuit of \SI{6.1}{\milli\watt}.
At a frequency of \SI{100}{\mega\hertz}, the dissipated power is \SI{5.7}{\milli\watt}, which is close to the termination power of the circuit of \SI{5.6}{\milli\watt}.
However with increasing frequencies, the power also increases because the capacitors start to conduct.
At \SI{1600}{\mega\hertz} (i.e., 3.2\,Gbps/pin at DDR), the dissipated power is already \SI{8.6}{\milli\watt}, i.e., \SI{40}{\percent} higher than the pure termination power.
At \SI{1600}{\mega\hertz} (i.e., DDR5-3200), the dissipated power is already \SI{8.6}{\milli\watt}, i.e., \SI{40}{\percent} higher than the pure termination power.
To calculate the power dissipation analytically, the clock signal with frequency $f$ and voltage swing $V_{DDQ}$ can be expressed as a Fourier series
\begin{equation}
v(t) = \frac{V_{DDQ}}{2} + \Re \left\{\frac{-2j \cdot V_{DDQ}}{\pi} \sum_{k=1,3,5,\dots}^{\infty} \frac{1}{k} \exp(j 2 \pi f k t)\right\}.
@@ -964,18 +964,18 @@ Figure~\ref{fig:power_comp} shows the total power dissipation at different opera
\begin{axis}[
xlabel={Operating Frequency [MHz]},
ylabel={Power Dissipation [mW]},
xmode=log,
xmin=50,
xmax=12800,
xtick={100,200,400,800,1600,3200,6400},
xticklabels={100,200,400,800,1600,3200,6400},
%xmode=log,
xmin=0,
xmax=8,
xtick={1,2,3,4,5,6,7},
xticklabels={100,200,400,800,1600,3200,4200},
ybar,
bar width=2mm,
legend pos=north west
]
\addplot+ coordinates {(100,6.2) (200,5.1) (400,5.2) (800,5.4) (1600,5.8) (3200,6.47) (6400,7.09)};
\addplot+ coordinates {(100,6.2) (200,5.1) (400,5.2) (800,5.4) (1600,5.8) (3200,6.47) (6400,7.09)};
\addplot+ coordinates {(100,6.2) (200,5.1) (400,5.2) (800,5.4) (1600,5.8) (3200,6.6) (6400,8.2)};
\addplot+ coordinates {(1,5.7) (2,5.9) (3,6.2) (4,6.8) (5,7.75) (6,8.6) (7,8.8)};
\addplot+ coordinates {(1,5.7) (2,5.9) (3,6.2) (4,6.8) (5,7.75) (6,8.6) (7,8.8)};
\addplot+ coordinates {(1,5.7) (2,5.9) (3,6.1) (4,6.7) (5,7.75) (6,9.9) (7,11.2)};
\legend{SPICE, Fourier Series (This Work), Approximation (CACTI-IO)}
\end{axis}
\end{tikzpicture}
@@ -983,8 +983,7 @@ Figure~\ref{fig:power_comp} shows the total power dissipation at different opera
\label{fig:power_comp}
\end{figure}
%
While Equation~\ref{eq:fourier} always provides the same results as SPICE, Equation~\ref{eq:approx} is accurate at low frequencies, but overestimates the power dissipation at higher frequencies, e.g., by \SI{16}{\percent} at \SI{6400}{\mega\hertz}.
If the capacitances $C_{TX}$ and $C_{RX}$ are increased from \SI{1}{\pico\farad} to \SI{2}{\pico\farad}, the error at \SI{6400}{\mega\hertz} is as high as \SI{54}{\percent}.
While Equation~\ref{eq:fourier} always provides the same results as SPICE, Equation~\ref{eq:approx} is accurate at low frequencies, but overestimates the power dissipation at higher frequencies, e.g., by \SI{15}{\percent} at \SI{3200}{\mega\hertz} (DDR5-6400) and even \SI{27}{\percent} at \SI{4200}{\mega\hertz} (DDR5-8400, the highest specified data rate in the standard).
The impact of the transmission line can be handled in different ways.
In \cite{holsta_19}, the authors have analyzed various physical DRAM interfaces, i.e., multi DIMM, package on package, PCB trace and silicon interposer.
@@ -1105,6 +1104,12 @@ Finally, the switching activity $\alpha$ can be determined by counting the numbe
%
\section{Simulator Architecture}
%
The new version of DRAMPower is not designed as a standalone simulator, but as a library that has to be coupled to a DRAM subsystem simulator, which models the DRAM controller and translates incoming read and write requests into DRAM commands.
Alternatively, a DRAM command trace can be provided as an input file.
For interface power calculation, the provided commands, addresses and data are translated into equivalent series of logic levels.
Based on this data, the number of transmitted zeros $n_0$, transmitted ones $n_1$ and zero to one transitions $n_{0 \rightarrow 1}$ can be calculated.
No standalone simulator, but coupled to e.g. DRAMSys
\todo{ranks}
\todo{count 1, 0 and 0->1 based on issued commands and data, alternatively use average values}