📄 ch16.6.htm
字号:
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML EXPERIMENTAL 970324//EN">
<HTML>
<HEAD>
<META NAME="GENERATOR" CONTENT="Adobe FrameMaker 5.5/HTML Export Filter">
<TITLE> 16.6 Problems</TITLE></HEAD><!--#include file="top.html"--><!--#include file="header.html"-->
<DIV>
<P>[ <A HREF="CH16.htm">Chapter start</A> ] [ <A HREF="CH16.5.htm">Previous page</A> ] [ <A HREF="CH16.7.htm">Next page</A> ]</P><!--#include file="AmazonAsic.html"--><HR></DIV>
<H1 CLASS="Heading1">
<A NAME="pgfId=2204">
</A>
16.6 <A NAME="21789">
</A>
Problems</H1>
<P CLASS="Exercise">
<A NAME="pgfId=81272">
</A>
* = Difficult, ** = Very difficult, *** = Extremely difficult</P>
<P CLASS="ExerciseHeadFirst">
<A NAME="pgfId=18658">
</A>
16.1 (Wire loads, 30 min.) <A NAME="42303">
</A>
<A HREF="CH16.htm#38364" CLASS="XRef">
Table 16.2</A>
shows a wire-load table. Since you might expect the interconnect load to be a monotonic increasing function of fanout and block area, it seems as though some of the data in <A HREF="CH16.htm#38364" CLASS="XRef">
Table 16.2</A>
may be in error; these figures are shown preceded by an asterisk, '*' (this table is from an ASIC vendor data book). Using a spreadsheet, analyze the data in <A HREF="CH16.htm#38364" CLASS="XRef">
Table 16.2</A>
.</P>
<UL>
<LI CLASS="ExercisePartFirst">
<A NAME="pgfId=18671">
</A>
a. By graphing the data, indicate any figures in <A HREF="CH16.htm#38364" CLASS="XRef">
Table 16.2</A>
that you think might be in error. If you think that there is an error, predict the correct values—either by interpolation (for values in error in the body of the table), or by fitting the linear model parameters, the slope and the intercept (for any values in error in the last two columns of the table).</LI>
<LI CLASS="ExercisePart">
<A NAME="pgfId=18672">
</A>
b. Including any corrections, how accurate is the model that predicts load as a linear function of fanout for a given block size? (Use the maximum error of the linear model expressed as a percentage of the table value.)</LI>
<LI CLASS="ExercisePart">
<A NAME="pgfId=18673">
</A>
c. Can you fit a simple function to the (possibly corrected) figures in the last column of the table and explain its form?</LI>
<LI CLASS="ExercisePart">
<A NAME="pgfId=33185">
</A>
d. What did you learn about wire-load tables from this problem?</LI>
<TABLE>
<TR>
<TD ROWSPAN="1" COLSPAN="14">
<P CLASS="TableTitle">
<A NAME="pgfId=45130">
</A>
TABLE 16.2 Wire- load table. Predicted interconnect loads (measured in standard loads) as a function of block size and fanout (Problem <A HREF="CH16.6.htm#42303" CLASS="XRef">
16.1</A>
).</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="2" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45186">
</A>
<SPAN CLASS="TableHeads">
Size<BR>
(/mm</SPAN>
<SUP CLASS="Superscript">
2</SUP>
<SPAN CLASS="TableHeads">
)</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="11">
<P CLASS="Table">
<A NAME="pgfId=45160">
</A>
<SPAN CLASS="TableHeads">
Fanout</SPAN>
</P>
</TD>
<TD ROWSPAN="2" COLSPAN="1">
<P CLASS="TableLeft">
<A NAME="pgfId=62633">
</A>
<SPAN CLASS="TableHeads">
Slope</SPAN>
</P>
</TD>
<TD ROWSPAN="2" COLSPAN="1">
<P CLASS="TableLeft">
<A NAME="pgfId=62635">
</A>
<SPAN CLASS="TableHeads">
Intercept</SPAN>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45188">
</A>
<SPAN CLASS="TableHeads">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45190">
</A>
<SPAN CLASS="TableHeads">
2</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45192">
</A>
<SPAN CLASS="TableHeads">
3</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45194">
</A>
<SPAN CLASS="TableHeads">
4</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45196">
</A>
<SPAN CLASS="TableHeads">
5</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45198">
</A>
<SPAN CLASS="TableHeads">
6</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45200">
</A>
<SPAN CLASS="TableHeads">
7</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45202">
</A>
<SPAN CLASS="TableHeads">
8</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45204">
</A>
<SPAN CLASS="TableHeads">
16</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45206">
</A>
<SPAN CLASS="TableHeads">
32</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=45208">
</A>
<SPAN CLASS="TableHeads">
64</SPAN>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45214">
</A>
0.5 <SPAN CLASS="Symbol">
¥</SPAN>
0.5</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45216">
</A>
0.65</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45218">
</A>
0.95</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45220">
</A>
1.25</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45222">
</A>
1.54</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45224">
</A>
1.84</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45226">
</A>
2.14</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45228">
</A>
2.44</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45230">
</A>
2.74</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45232">
</A>
5.13</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45234">
</A>
9.91</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45236">
</A>
19.47</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45238">
</A>
0.299</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45240">
</A>
0.349</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45242">
</A>
1 <SPAN CLASS="Symbol">
¥</SPAN>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45244">
</A>
0.80</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45246">
</A>
1.20</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45248">
</A>
1.59</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45250">
</A>
1.99</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45252">
</A>
2.39</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45254">
</A>
2.79</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45256">
</A>
3.19</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45258">
</A>
3.59</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45260">
</A>
6.77</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45262">
</A>
13.15</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45264">
</A>
25.9</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45266">
</A>
0.398</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45268">
</A>
0.398</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45270">
</A>
2 <SPAN CLASS="Symbol">
¥</SPAN>
2</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45272">
</A>
0.96</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45274">
</A>
1.48</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45276">
</A>
1.99</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45278">
</A>
2.51</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45280">
</A>
3.02</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45282">
</A>
3.54</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45284">
</A>
4.05</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45286">
</A>
4.57</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45288">
</A>
8.68</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45290">
</A>
16.92</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45292">
</A>
33.38</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45294">
</A>
0.515</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45296">
</A>
0.448</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45298">
</A>
3 <SPAN CLASS="Symbol">
¥</SPAN>
3</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45300">
</A>
1.20</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45302">
</A>
1.83</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45304">
</A>
2.46</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45306">
</A>
3.09</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45308">
</A>
3.72</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45310">
</A>
4.35</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45312">
</A>
4.98</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45314">
</A>
5.61</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45316">
</A>
10.66</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45318">
</A>
20.75</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45320">
</A>
40.94</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45322">
</A>
0.631</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45324">
</A>
0.564</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45326">
</A>
4 <SPAN CLASS="Symbol">
¥</SPAN>
4</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45328">
</A>
1.41</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45330">
</A>
2.11</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45332">
</A>
2.81</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45334">
</A>
3.50</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45336">
</A>
4.20</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45338">
</A>
4.90</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=45340">
</A>
5.59</P>
⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -