Treating similar blank lines between hunks as part of the hunks

Is there any way to convince git-diff to treat blank lines between two hunks as part of the hunks for diffing? That is, if I have these two files:

----- A B C

D E -----

and

----- A F G

H E -----

git-diff will do this:

 A
-B
-C
+F
+G

-D
+H
 E

Instead, I would prefer it did this:

 A
-B
-C
-
-D
+F
+G
+
+H
E

This second diff is easier to read, especially when the number of hunks is large, but the size of each hunk is small. This can happen in source code when one function is replaced with a completely different function. Git sees the blanks in each function as being common, but everything else is completely different, so the diff is unreabable.