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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /67/CH2
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-rwxr-xr-x67/CH2/EX2.1/example21.sce18
-rwxr-xr-x67/CH2/EX2.17.a/example217a.sce5
-rwxr-xr-x67/CH2/EX2.17.b/example217b.sce5
-rwxr-xr-x67/CH2/EX2.17.c/example217c.sce5
-rwxr-xr-x67/CH2/EX2.19.a/example219a.sce32
-rwxr-xr-x67/CH2/EX2.19.b/example219b.sce30
-rwxr-xr-x67/CH2/EX2.2/example22.sce24
-rwxr-xr-x67/CH2/EX2.21.a/example221a.sce30
-rwxr-xr-x67/CH2/EX2.21.b/example221b.sce30
-rwxr-xr-x67/CH2/EX2.25/example225.sce30
-rwxr-xr-x67/CH2/EX2.3/example23.sce25
-rwxr-xr-x67/CH2/EX2.4/example24.sce18
-rwxr-xr-x67/CH2/EX2.5/example25.sce27
-rwxr-xr-x67/CH2/EX2.59/example259.sce32
-rwxr-xr-x67/CH2/EX2.6/example26.sce24
-rwxr-xr-x67/CH2/EX2.7/example27.sce18
-rwxr-xr-x67/CH2/EX2.8/example28.sce23
17 files changed, 376 insertions, 0 deletions
diff --git a/67/CH2/EX2.1/example21.sce b/67/CH2/EX2.1/example21.sce
new file mode 100755
index 000000000..5d6412394
--- /dev/null
+++ b/67/CH2/EX2.1/example21.sce
@@ -0,0 +1,18 @@
+//Example 2.1
+clc;
+t=-8:1/100:8;
+for i=1:length(t)
+ x(i)=exp(-t(i)^2);
+ h(i)=3*t(i)^2;
+end
+y=convol(x,h);
+figure
+plot2d(t,h);
+title('Impulse responce');
+figure
+plot2d(t,x);
+title('Input signal');
+figure
+t2=-16:1/100:16
+plot2d(t2,y);
+title('Output signal'); \ No newline at end of file
diff --git a/67/CH2/EX2.17.a/example217a.sce b/67/CH2/EX2.17.a/example217a.sce
new file mode 100755
index 000000000..3407e0d66
--- /dev/null
+++ b/67/CH2/EX2.17.a/example217a.sce
@@ -0,0 +1,5 @@
+//Example 2.17a
+clc;
+disp(' y[n]=3x[n-2]+3x[n+2] ');
+disp('THE GIVEN SYSTEM IS NON-CAUSAL');
+disp('Since the value of output depends on future input'); \ No newline at end of file
diff --git a/67/CH2/EX2.17.b/example217b.sce b/67/CH2/EX2.17.b/example217b.sce
new file mode 100755
index 000000000..71a43610f
--- /dev/null
+++ b/67/CH2/EX2.17.b/example217b.sce
@@ -0,0 +1,5 @@
+//Example 2.17b
+clc;
+disp(' y[n]=x[n-1]+a*x[n-2] ');
+disp('THE GIVEN SYSTEM IS CAUSAL');
+disp('Since the value of output doesnot depends on future input'); \ No newline at end of file
diff --git a/67/CH2/EX2.17.c/example217c.sce b/67/CH2/EX2.17.c/example217c.sce
new file mode 100755
index 000000000..ef8b994c6
--- /dev/null
+++ b/67/CH2/EX2.17.c/example217c.sce
@@ -0,0 +1,5 @@
+//Example 2.17c
+clc;
+disp(' y[n]=x[-n] ');
+disp('THE GIVEN SYSTEM IS NON-CAUSAL');
+disp('Since the value of output depends on future input'); \ No newline at end of file
diff --git a/67/CH2/EX2.19.a/example219a.sce b/67/CH2/EX2.19.a/example219a.sce
new file mode 100755
index 000000000..5471fe7f3
--- /dev/null
+++ b/67/CH2/EX2.19.a/example219a.sce
@@ -0,0 +1,32 @@
+//Example 2.19a
+clc;
+x1=[1,1,1,1]
+x2=[2,2,2,2]
+a=1
+b=1
+a1=0.5
+b1=0.5
+for n=1:length(x1)
+ x3(n)=a*x1(n)+b*x2(n)
+end
+for n=1:length(x1)
+ y1(n)=a1*n*x1(n)+b1
+ y2(n)=a1*n*x2(n)+b1
+ y3(n)=a1*n*x3(n)+b1
+end
+for n=1:length(y1)
+ z(n)=a*y1(n)+b*y2(n)
+end
+count=0
+for n=1:length(y1)
+ if(y3(n)==z(n))
+ count=count+1;
+ end
+end
+if(count==length(y3))
+disp('It satisfy the superposition principle');
+disp('THE GIVEN SYSTEM IS LINEAR ');
+else
+ disp('It does not satisfy superposition principle ');
+ disp('THE GIVEN SYSTEM IS NON LINEAR');
+end \ No newline at end of file
diff --git a/67/CH2/EX2.19.b/example219b.sce b/67/CH2/EX2.19.b/example219b.sce
new file mode 100755
index 000000000..f13e4d4e1
--- /dev/null
+++ b/67/CH2/EX2.19.b/example219b.sce
@@ -0,0 +1,30 @@
+//Example 2.19b
+clc;
+x1=[1,1,1,1]
+x2=[2,2,2,2]
+a=1
+b=1
+for n=1:length(x1)
+ x3(n)=a*x1(n)+b*x2(n)
+end
+for n=1:length(x1)
+ y1(n)=exp(x1(n))
+ y2(n)=exp(x2(n))
+ y3(n)=exp(x3(n))
+end
+for n=1:length(y1)
+ z(n)=a*y1(n)+b*y2(n)
+end
+count=0
+for n=1:length(y1)
+ if(y3(n)==z(n))
+ count=count+1;
+ end
+end
+if(count==length(y3))
+disp('It satisfy the superposition principle');
+disp('THE GIVEN SYSTEM IS LINEAR ');
+else
+ disp('It does not satisfy superposition principle ');
+ disp('THE GIVEN SYSTEM IS NON LINEAR');
+end \ No newline at end of file
diff --git a/67/CH2/EX2.2/example22.sce b/67/CH2/EX2.2/example22.sce
new file mode 100755
index 000000000..7c27cc5b5
--- /dev/null
+++ b/67/CH2/EX2.2/example22.sce
@@ -0,0 +1,24 @@
+//Example 2.2
+clc;
+t=-8:1/100:8;
+for i=1:length(t)
+ if t(i)<0 then
+ x(i)=0;
+ h(i)=0;
+ else
+ x(i)=exp(-3.*t(i));
+ h(i)=1;
+ end
+end
+t1=t+1;
+y=convol(x,h);
+figure
+plot2d(t1,h);
+title('Impulse responce');
+figure
+plot2d(t,x);
+title('Input signal');
+figure
+t2=-16:1/100:16
+plot2d(t2,y);
+title('Output signal'); \ No newline at end of file
diff --git a/67/CH2/EX2.21.a/example221a.sce b/67/CH2/EX2.21.a/example221a.sce
new file mode 100755
index 000000000..48d1b3db4
--- /dev/null
+++ b/67/CH2/EX2.21.a/example221a.sce
@@ -0,0 +1,30 @@
+//Example 2.21
+clc;
+x1=[1,1,1,1]
+x2=[2,2,2,2]
+a=1
+b=1
+for t=1:length(x1)
+ x3(t)=a*x1(t)+b*x2(t)
+end
+for t=1:length(x1)
+ y1(t)=5*sin(x1(t))
+ y2(t)=5*sin(x2(t))
+ y3(t)=5*sin(x3(t))
+end
+for t=1:length(y1)
+ z(t)=a*y1(t)+b*y2(t)
+end
+count=0
+for n=1:length(y1)
+ if(y3(t)==z(t))
+ count=count+1;
+ end
+end
+if(count==length(y3))
+disp('It satisfy the superposition principle');
+disp('THE GIVEN SYSTEM IS LINEAR ');
+else
+ disp('It does not satisfy superposition principle ');
+ disp('THE GIVEN SYSTEM IS NON LINEAR');
+end \ No newline at end of file
diff --git a/67/CH2/EX2.21.b/example221b.sce b/67/CH2/EX2.21.b/example221b.sce
new file mode 100755
index 000000000..e0660a3b5
--- /dev/null
+++ b/67/CH2/EX2.21.b/example221b.sce
@@ -0,0 +1,30 @@
+//Example 2.21b
+clc;
+x1=[1,1,1,1]
+x2=[2,2,2,2]
+a=1
+b=1
+for t=1:length(x1)
+ x3(t)=a*x1(t)+b*x2(t)
+end
+for t=1:length(x1)
+ y1(t)=7*x1(t)+5
+ y2(t)=7*x2(t)+5
+ y3(t)=7*x3(t)+5
+end
+for t=1:length(y1)
+ z(t)=a*y1(t)+b*y2(t)
+end
+count=0
+for n=1:length(y1)
+ if(y3(t)==z(t))
+ count=count+1;
+ end
+end
+if(count==length(y3))
+disp('It satisfy the superposition principle');
+disp('THE GIVEN SYSTEM IS LINEAR ');
+else
+ disp('It does not satisfy superposition principle ');
+ disp('THE GIVEN SYSTEM IS NON LINEAR');
+end \ No newline at end of file
diff --git a/67/CH2/EX2.25/example225.sce b/67/CH2/EX2.25/example225.sce
new file mode 100755
index 000000000..e4215c392
--- /dev/null
+++ b/67/CH2/EX2.25/example225.sce
@@ -0,0 +1,30 @@
+//Example 2.25
+clc;
+x1=[1,1,1,1]
+x2=[2,2,2,2]
+a=1
+b=1
+for n=1:length(x1)
+ x3(n)=a*x1(n)+b*x2(n)
+end
+for n=1:length(x1)
+ y1(n)=x1(n)^2
+ y2(n)=x2(n)^2
+ y3(n)=x3(n)^2
+end
+for n=1:length(y1)
+ z(n)=a*y1(n)+b*y2(n)
+end
+count=0
+for n=1:length(y1)
+ if(y3(n)==z(n))
+ count=count+1;
+ end
+end
+if(count==length(y3))
+disp('It satisfy the superposition principle');
+disp('THE GIVEN SYSTEM IS LINEAR ');
+else
+ disp('It does not satisfy superposition principle ');
+ disp('THE GIVEN SYSTEM IS NON LINEAR');
+end \ No newline at end of file
diff --git a/67/CH2/EX2.3/example23.sce b/67/CH2/EX2.3/example23.sce
new file mode 100755
index 000000000..b6bc33c30
--- /dev/null
+++ b/67/CH2/EX2.3/example23.sce
@@ -0,0 +1,25 @@
+//Example 2.3
+clc;
+R=100;
+L=100;
+t=-8:1/100:8;
+for i=1:length(t)
+ if t(i)<0 then
+ x(i)=0;
+ h(i)=0;
+ else
+ h(i)=(R/L)*exp(-(R/L).*t(i));
+ x(i)=1;
+ end
+end
+y=convol(x,h);
+figure
+plot2d(t,h);
+title('Impulse responce');
+figure
+plot2d(t,x);
+title('Input signal');
+figure
+t2=-16:1/100:16
+plot2d(t2,y);
+title('Output signal'); \ No newline at end of file
diff --git a/67/CH2/EX2.4/example24.sce b/67/CH2/EX2.4/example24.sce
new file mode 100755
index 000000000..375b871e3
--- /dev/null
+++ b/67/CH2/EX2.4/example24.sce
@@ -0,0 +1,18 @@
+//Example 2.4
+clc;
+t=-8:1/100:8;
+for i=1:length(t)
+ x(i)=3*cos(2.*t(i));
+ h(i)=exp(-abs(t(i)));
+end
+y=convol(x,h);
+figure
+plot2d(t,h);
+title('Impulse responce');
+figure
+plot2d(t,x);
+title('Input signal');
+figure
+t2=-16:1/100:16
+plot2d(t2,y);
+title('Output signal'); \ No newline at end of file
diff --git a/67/CH2/EX2.5/example25.sce b/67/CH2/EX2.5/example25.sce
new file mode 100755
index 000000000..05b0eadc4
--- /dev/null
+++ b/67/CH2/EX2.5/example25.sce
@@ -0,0 +1,27 @@
+//Example 2.5
+clc;
+Max_Limit=10;
+h=ones(1,Max_Limit);
+N2=0:length(h)-1;
+a=0.5;//constant a>0
+for t=1:Max_Limit
+x(t)=exp(-a*(t-1));
+end
+N1=0:length(x)-1;
+y=convol(x,h)-1;
+N=0:length(x)+length(h)-2;
+figure
+a=gca();
+plot2d(N2,h)
+xtitle('Impulse Response','t','h(t)');
+a.thickness=2;
+figure
+a=gca();
+plot2d(N1,x)
+xtitle('Input Response','t','x(t)');
+a.thickness=2;
+figure
+a=gca ();
+plot2d(N(1:Max_Limit),y(1:Max_Limit))
+xtitle('Output Response','t','y(t)');
+a.thickness=2; \ No newline at end of file
diff --git a/67/CH2/EX2.59/example259.sce b/67/CH2/EX2.59/example259.sce
new file mode 100755
index 000000000..2661f9b75
--- /dev/null
+++ b/67/CH2/EX2.59/example259.sce
@@ -0,0 +1,32 @@
+//Example 2.59
+clc;
+n=-8:1:8;
+for i=1:length(n)
+ if n(i)<0 then
+ x(i)=0;
+ h(i)=0;
+ else
+ x(i)=1;
+ h(i)=2^n(i);
+ end
+end
+y=convol(x,h);
+figure
+a=gca();
+plot2d3(n,h);
+a.x_location='origin';
+a.y_location='origin';
+title('Impulse responce');
+figure
+a=gca();
+plot2d3(n,x);
+a.x_location='origin';
+a.y_location='origin';
+title('Input signal');
+figure
+a=gca();
+n1=-16:1:16
+plot2d3(n1,y);
+a.x_location='origin';
+a.y_location='origin';
+title('Output signal'); \ No newline at end of file
diff --git a/67/CH2/EX2.6/example26.sce b/67/CH2/EX2.6/example26.sce
new file mode 100755
index 000000000..c698b7ffa
--- /dev/null
+++ b/67/CH2/EX2.6/example26.sce
@@ -0,0 +1,24 @@
+//Example 2.6
+clc;
+t=-8:1/100:8;
+for i=1:length(t)
+ if t(i)<0 then
+ x(i)=exp(2.*t(i));
+ h(i)=0;
+ else
+ x(i)=0;
+ h(i)=1;
+ end
+end
+t1=t+3;
+y=convol(x,h);
+figure
+plot2d(t1,h);
+title('Impulse responce');
+figure
+plot2d(t,x);
+title('Input signal');
+figure
+t2=-16:1/100:16
+plot2d(t2,y);
+title('Output signal'); \ No newline at end of file
diff --git a/67/CH2/EX2.7/example27.sce b/67/CH2/EX2.7/example27.sce
new file mode 100755
index 000000000..9014344d7
--- /dev/null
+++ b/67/CH2/EX2.7/example27.sce
@@ -0,0 +1,18 @@
+//Example 2.7
+clc;
+n=-8:1:8;
+for i=1:length(n)
+ x(i)=exp(-n(i)^2);
+ h(i)=3.*n(i)^2;
+end
+y=convol(x,h);
+figure
+plot2d3(n,h);
+title('Impulse responce');
+figure
+plot2d3(n,x);
+title('Input signal');
+figure
+n1=-16:1:16
+plot2d3(n1,y);
+title('Output signal'); \ No newline at end of file
diff --git a/67/CH2/EX2.8/example28.sce b/67/CH2/EX2.8/example28.sce
new file mode 100755
index 000000000..8e348364a
--- /dev/null
+++ b/67/CH2/EX2.8/example28.sce
@@ -0,0 +1,23 @@
+//Example 2.8
+clc;
+n=-8:1:8;
+for i=1:length(n)
+ if n(i)<0 then
+ x(i)=2^n(i);
+ h(i)=0;
+ else
+ x(i)=0;
+ h(i)=1;
+ end
+end
+y=convol(x,h);
+figure
+plot2d3(n,h);
+title('Impulse responce');
+figure
+plot2d3(n,x);
+title('Input signal');
+figure
+n1=-16:1:16
+plot2d3(n1,y);
+title('Output signal'); \ No newline at end of file