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author | priyanka | 2015-06-24 15:03:17 +0530 |
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committer | priyanka | 2015-06-24 15:03:17 +0530 |
commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
tree | ab291cffc65280e58ac82470ba63fbcca7805165 /40/CH9/EX9.5 | |
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initial commit / add all books
Diffstat (limited to '40/CH9/EX9.5')
-rwxr-xr-x | 40/CH9/EX9.5/Exa_9_5.sce | 12 |
1 files changed, 12 insertions, 0 deletions
diff --git a/40/CH9/EX9.5/Exa_9_5.sce b/40/CH9/EX9.5/Exa_9_5.sce new file mode 100755 index 000000000..025deebe5 --- /dev/null +++ b/40/CH9/EX9.5/Exa_9_5.sce @@ -0,0 +1,12 @@ +//Mappings from difference algorithms
+//Backward difference mappings
+s=%s;z=%z;
+ts=1;a=1;
+HS=1/(s+a);
+HZa=horner(HS,(z-1)/(z*ts))
+z1=roots(denom(HZa))//for ts >0 HZa always stable
+HZb=horner(HS,(z-1)/ts)
+z2=roots(denom(HZb))//stable only for 0<ats<2
+HZc=horner(HS,(z^2-1)/(2*z*ts))
+z3=roots(denom(HZc))//magnitude of 1 pole is always>1 hence unstable
+
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