initial commit / add all books

31 files changed, 503 insertions, 0 deletions

diff --git a/1592/CH7/EX7.1/Example_7_1.sce b/1592/CH7/EX7.1/Example_7_1.sce
new file mode 100755
index 000000000..eec48bb7c
--- /dev/null
+++ b/1592/CH7/EX7.1/Example_7_1.sce
@@ -0,0 +1,26 @@
+//Scilab Code for Example 7.1 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear;

+a0=2;

+a1=2;

+a2=4;

+x1=[1,3,5,7];

+x2=[2,4,6,8];

+for t=1:4

+    y1(1,t)=a0+a1*x1(t)+a2*(x1(t))^2;

+    y2(1,t)=a0+a1*x2(t)+a2*(x2(t))^2;

+end

+b1=2;

+b2=3;

+x=b1*x1+b2*x2;

+disp('y(n) does not depend on past inputs');

+disp('Hence the system is Static');

+disp(x,'The input to the system is:');

+for t=1:4

+    q(1,t)=a0+a1*x(t)+a2*(x(t))^2;

+end

+disp(q,'This input gives the output:');

+y=b1*y1+b2*y2;

+disp(y,'For the system to be linear the output should be:');

+disp('Hence the system is not linear');

diff --git a/1592/CH7/EX7.10/Example_7_10.sce b/1592/CH7/EX7.10/Example_7_10.sce
new file mode 100755
index 000000000..cb27e58d6
--- /dev/null
+++ b/1592/CH7/EX7.10/Example_7_10.sce
@@ -0,0 +1,13 @@
+//Scilab Code for Example 7.10 of Signals and systems by

+//P.Ramakrishna Rao

+clear;

+clc;

+disp('h(t)=e^-2*t.u(t)');

+for w=1:100

+    y(1,w)=integrate('exp(-2*t)','t',0,w);

+end

+w=1:100;

+plot(w,y)

+title('Output Signal y(t)');

+xlabel('Time');

+ylabel('Amplitude');

diff --git a/1592/CH7/EX7.10/Fig7_10.jpg b/1592/CH7/EX7.10/Fig7_10.jpg
new file mode 100755
index 000000000..9ad360b0e
--- /dev/null
+++ b/1592/CH7/EX7.10/Fig7_10.jpg
diff --git a/1592/CH7/EX7.11/Example_7_11.sce b/1592/CH7/EX7.11/Example_7_11.sce
new file mode 100755
index 000000000..9510a506b
--- /dev/null
+++ b/1592/CH7/EX7.11/Example_7_11.sce
@@ -0,0 +1,31 @@
+//Scilab Code for Example 7.11 of Signals and systems by

+//P.Ramakrishna Rao

+clear;

+clc;

+clear x y n;

+x=[0,0,2,0,0];

+y=[0,0,1,1,0];

+n=-2:2;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d2(n,x,2);

+title('x(t)')

+xlabel('t')

+figure(1);

+n=-2:2;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d2(n,y,5);

+title('y(t)')

+xlabel('t')

+z=conv(x,y);

+figure(2);

+n=-3:5;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot(n,z,2);

+title('Convoluted signal     z(t)')

+xlabel('t')

diff --git a/1592/CH7/EX7.11/Fig7_11_3.jpg b/1592/CH7/EX7.11/Fig7_11_3.jpg
new file mode 100755
index 000000000..4f7dcb59a
--- /dev/null
+++ b/1592/CH7/EX7.11/Fig7_11_3.jpg
diff --git a/1592/CH7/EX7.14/Example_7_14.sce b/1592/CH7/EX7.14/Example_7_14.sce
new file mode 100755
index 000000000..62b0f61be
--- /dev/null
+++ b/1592/CH7/EX7.14/Example_7_14.sce
@@ -0,0 +1,27 @@
+//Scilab Code for Example 7.14 of Signals and systems by

+//P.Ramakrishna Rao

+//Plotting the impulse and step responses

+clc;

+clear;

+syms s t R C;

+Y1=(1/(R*C))/(s+1/(R*C));

+disp(Y1,'Laplace Transform Of differential Equation is:')

+y11=ilaplace(Y1,s,t);

+disp(y11,'The Impulse Response of the System is:');

+for k=0:10;

+    y1(k+1)=exp(-k);

+end

+k=0:10;

+plot(k,y1);

+title('System Response to impulse input');

+Y2=(1/(R*C))/(s^2+s/(R*C));

+disp(Y2,'Laplace Transform Of differential Equation is:')

+y22=ilaplace(Y2,s,t);

+disp(y22,'The Step Response of the System is:');

+for k=0:10;

+    y2(k+1)=1-exp(-k);

+end

+figure(1);

+k=0:10;

+plot(k,y2);

+title('System Response to Step input');

diff --git a/1592/CH7/EX7.14/Fig7_14_1.jpg b/1592/CH7/EX7.14/Fig7_14_1.jpg
new file mode 100755
index 000000000..14281b17c
--- /dev/null
+++ b/1592/CH7/EX7.14/Fig7_14_1.jpg
diff --git a/1592/CH7/EX7.14/Fig7_14_2.jpg b/1592/CH7/EX7.14/Fig7_14_2.jpg
new file mode 100755
index 000000000..f129de8fc
--- /dev/null
+++ b/1592/CH7/EX7.14/Fig7_14_2.jpg
diff --git a/1592/CH7/EX7.15/Example_7_15.sce b/1592/CH7/EX7.15/Example_7_15.sce
new file mode 100755
index 000000000..67abee2df
--- /dev/null
+++ b/1592/CH7/EX7.15/Example_7_15.sce
@@ -0,0 +1,28 @@
+//Scilab Code for Example 7.15 of Signals and systems by

+//P.Ramakrishna Rao

+//Plotting the impulse and step responses

+clc;

+clear;

+syms s t R L;

+Y1=(1/s)-(1/(s+(R/L)));

+disp(Y1,'Laplace Transform Of differential Equation is:')

+y1=ilaplace(Y1,s,t);

+disp(y1,'The Step Response of the System is:');

+//Taking R/L=1;

+for k=0:10;

+    y1(k+1)=1-exp(-k);

+end

+k=0:10;

+plot(k,y1);

+title('System Response to Step input');

+Y2=(1/(s+(R/L)));

+disp(Y2,'Laplace Transform Of differential Equation is:')

+y2=ilaplace(Y2,s,t);

+disp(y2,'The Impulse Response of the System is:');

+for k=0:10;

+    y2(k+1)=exp(-k);

+end

+figure(1);

+k=0:10;

+plot(k,y2);

+title('System Response to impulse input');

diff --git a/1592/CH7/EX7.15/Fig7_15_1.jpg b/1592/CH7/EX7.15/Fig7_15_1.jpg
new file mode 100755
index 000000000..f129de8fc
--- /dev/null
+++ b/1592/CH7/EX7.15/Fig7_15_1.jpg
diff --git a/1592/CH7/EX7.15/Fig7_15_2.jpg b/1592/CH7/EX7.15/Fig7_15_2.jpg
new file mode 100755
index 000000000..14281b17c
--- /dev/null
+++ b/1592/CH7/EX7.15/Fig7_15_2.jpg
diff --git a/1592/CH7/EX7.19/Example_7_19.sce b/1592/CH7/EX7.19/Example_7_19.sce
new file mode 100755
index 000000000..e188cc9aa
--- /dev/null
+++ b/1592/CH7/EX7.19/Example_7_19.sce
@@ -0,0 +1,32 @@
+//Scilab Code for Example 7.19 of Signals and systems by

+//P.Ramakrishna Rao

+//Convolution of two signals

+clc;

+clear;

+clear x y n;

+x=[2,-1,1,0,2];

+y=[1,0,-1,2];

+n=-1:3;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d3(n,x,-5);

+title('x(k)')

+xlabel('k')

+figure(1);

+n=0:3;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d3(n,y,-5);

+title('y(k)')

+xlabel('k')

+z=conv(x,y);

+figure(2);

+n=-1:6;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d3(n,z,-5);

+title('Convoluted signal     z(t)')

+xlabel('t')

diff --git a/1592/CH7/EX7.19/Fig7_19_3.jpg b/1592/CH7/EX7.19/Fig7_19_3.jpg
new file mode 100755
index 000000000..1be47a067
--- /dev/null
+++ b/1592/CH7/EX7.19/Fig7_19_3.jpg
diff --git a/1592/CH7/EX7.22/Example_7_22.sce b/1592/CH7/EX7.22/Example_7_22.sce
new file mode 100755
index 000000000..e063736b4
--- /dev/null
+++ b/1592/CH7/EX7.22/Example_7_22.sce
@@ -0,0 +1,37 @@
+//Scilab Code for Example 7.22 of Signals and systems by

+//P.Ramakrishna Rao

+//Convolution of two signals

+clc;

+clear;

+clear x y n;

+for n=0:10;

+    x(n+1)=(3/4)^n*u(n);

+end

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+n=0:10;

+plot2d3(n,x,-4);

+title('x(n)')

+xlabel('n')

+for n=0:10;

+    y(n+1)=u(n);

+end

+figure(1);

+n=0:10;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d3(n,y,-4);

+title('y(k)')

+xlabel('k')

+z=conv(x,y);

+figure(2);

+n=0:20;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d3(n,z,-4);

+title('Convoluted signal     w(t)');

+xlabel('t');

+disp(z(1),'z(0)',z(4),'z(3)',z(6),'z(5)',z(11),'z(10)');

diff --git a/1592/CH7/EX7.22/Fig7_22_3.jpg b/1592/CH7/EX7.22/Fig7_22_3.jpg
new file mode 100755
index 000000000..3f79d5e61
--- /dev/null
+++ b/1592/CH7/EX7.22/Fig7_22_3.jpg
diff --git a/1592/CH7/EX7.23/Example_7_23.sce b/1592/CH7/EX7.23/Example_7_23.sce
new file mode 100755
index 000000000..b24378108
--- /dev/null
+++ b/1592/CH7/EX7.23/Example_7_23.sce
@@ -0,0 +1,36 @@
+//Scilab Code for Example 7.23 of Signals and systems by

+//P.Ramakrishna Rao

+//Convolution of two signals

+clc;

+clear;

+clear x y n;

+for n=0:10;

+    x(n+1)=(0.5)^n*u(n-2);

+end

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+n=0:10;

+plot2d3(n,x,-4);

+title('x(n)')

+xlabel('n')

+for n=0:10;

+    y(n+1)=u(n);

+end

+figure(1);

+n=0:10;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d3(n,y,-4);

+title('y(k)')

+xlabel('k')

+z=conv(x,y);

+figure(2);

+n=0:20;

+c = gca();

+c.y_location = "origin";

+c.x_location = "origin";

+plot2d3(n,z,-4);

+title('Convoluted signal     z(t)')

+xlabel('t')

diff --git a/1592/CH7/EX7.23/Fig7_23_3.jpg b/1592/CH7/EX7.23/Fig7_23_3.jpg
new file mode 100755
index 000000000..a59d3d866
--- /dev/null
+++ b/1592/CH7/EX7.23/Fig7_23_3.jpg
diff --git a/1592/CH7/EX7.24/Example_7_24.sce b/1592/CH7/EX7.24/Example_7_24.sce
new file mode 100755
index 000000000..e2f810ea0
--- /dev/null
+++ b/1592/CH7/EX7.24/Example_7_24.sce
@@ -0,0 +1,15 @@
+//Scilab Code for Example 7.24 of Signals and systems by

+//P.Ramakrishna Rao

+//Plotting the step response

+clc;

+clear;

+syms z n;

+y1=2*(1-0.5^n);

+disp(y1*'u(n)','The step Response of the System is:');

+for n=0:10;

+    q(n+1)=2*(1-0.5^n);

+end

+n=0:10;

+plot(n,q);

+title('Step Response   g(n)');

+xlabel('n-->');

diff --git a/1592/CH7/EX7.24/Fig7_24.jpg b/1592/CH7/EX7.24/Fig7_24.jpg
new file mode 100755
index 000000000..e52ac4a9f
--- /dev/null
+++ b/1592/CH7/EX7.24/Fig7_24.jpg
diff --git a/1592/CH7/EX7.25/Example_7_25.sce b/1592/CH7/EX7.25/Example_7_25.sce
new file mode 100755
index 000000000..aacc9cb9c
--- /dev/null
+++ b/1592/CH7/EX7.25/Example_7_25.sce
@@ -0,0 +1,21 @@
+//Scilab Code for Example 7.25 of Signals and systems by

+//P.Ramakrishna Rao

+//Plotting the impulse and step responses

+clc;

+clear;

+syms z a n;

+Y1=(2*z/(z-a));

+disp(Y1,'Z Transform Of differential Equation is:')

+y12=2*a^n;

+disp(y12,'The Unit Sample Response of the System is:');

+y2=2*(a^n-1)/(a-1);

+disp(y2,'The Step Response of the System is:');

+q=1;

+a=0.5;

+for k=0:0.1:5;

+y2(q)=2*((a^k-1)/(a-1));

+q=q+1;

+end

+k=0:0.1:5;

+plot(k,y2);

+

diff --git a/1592/CH7/EX7.25/Fig7_25.jpg b/1592/CH7/EX7.25/Fig7_25.jpg
new file mode 100755
index 000000000..4b4bac75c
--- /dev/null
+++ b/1592/CH7/EX7.25/Fig7_25.jpg
diff --git a/1592/CH7/EX7.3/Example_7_3.sce b/1592/CH7/EX7.3/Example_7_3.sce
new file mode 100755
index 000000000..7716a72d0
--- /dev/null
+++ b/1592/CH7/EX7.3/Example_7_3.sce
@@ -0,0 +1,27 @@
+//Scilab Code for Example 7.3 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear x y1 y y2 q t n;

+clear;

+//y(n)=x(n)-x(n-1);

+disp('y(n) depends upon past inputs also');

+disp('Output at n=2 depends upon value of x at n=1');

+disp('Hence the system is Dynamic');

+x1=[1,3,5,7,2];

+x2=[2,4,6,8,3];

+for n=2:5

+    y1(1,n)=x1(n)-x1(n-1)

+    y2(1,n)=x2(n)-x2(n-1)

+end

+b1=2;

+b2=3;

+x=b1*x1+b2*x2

+disp(x,'The input to the system is:');

+for n=2:5

+    q(1,n)=x(n)-x(n-1);

+end

+y=b1*y1+b2*y2;

+disp(q,'This input gives the output:');

+disp(y,'For the system to be linear the output should be:');

+disp('Hence the system is linear');

+

diff --git a/1592/CH7/EX7.33/Example_7_33.sce b/1592/CH7/EX7.33/Example_7_33.sce
new file mode 100755
index 000000000..067b9055c
--- /dev/null
+++ b/1592/CH7/EX7.33/Example_7_33.sce
@@ -0,0 +1,29 @@
+//Scilab Code for Example 7.33 of Signals and systems by

+//P.Ramakrishna Rao

+//Plotting the magnitude and phase responses

+clc;

+clear;

+T=1;

+n=1;

+for w=0:0.1:20;

+    hmag(n)=2*sin(w*T/2);

+    n=n+1;

+end

+n=1;

+for w=0:0.1:20;

+    hphase(n)=%pi/2-(w*T/2);

+    n=n+1;

+end

+//Magnitude plot

+w=0:0.1:20;

+plot(w,hmag);

+title('Magnitude Plot');

+xlabel('w');

+ylabel('|H(e^jw)|');

+figure(1);

+//Phase Plot

+w=0:0.1:20;

+plot(w,hphase);

+title('Phase Plot');

+xlabel('w');

+ylabel('theta(wT)');

diff --git a/1592/CH7/EX7.33/Fig7_33_1.jpg b/1592/CH7/EX7.33/Fig7_33_1.jpg
new file mode 100755
index 000000000..4950368c9
--- /dev/null
+++ b/1592/CH7/EX7.33/Fig7_33_1.jpg
diff --git a/1592/CH7/EX7.33/Fig7_33_2.jpg b/1592/CH7/EX7.33/Fig7_33_2.jpg
new file mode 100755
index 000000000..14bc76dfa
--- /dev/null
+++ b/1592/CH7/EX7.33/Fig7_33_2.jpg
diff --git a/1592/CH7/EX7.4/Example_7_4.sce b/1592/CH7/EX7.4/Example_7_4.sce
new file mode 100755
index 000000000..ea6ffb06b
--- /dev/null
+++ b/1592/CH7/EX7.4/Example_7_4.sce
@@ -0,0 +1,36 @@
+//Scilab Code for Example 7.4 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear x y1 y y2 q t n;

+clear;

+//y(t)=x(2*t)

+disp('y(t) depends upon past inputs for t<0');

+disp('y(t) depends upon future inputs for t>0');

+disp('Hence the system is Dynamic');

+x1=[1,3,5,7,2,5,3,9];//Random Variable

+x2=[2,4,6,8,2,4,2,1];

+for t=1:4

+    y1(1,t)=x1(2*t);

+    y2(1,t)=x2(2*t);

+end

+b1=2;

+b2=3;

+x=b1*x1+b2*x2;

+disp(x,'The input to the system is:');

+for t=1:4

+    q(1,t)=x(2*t);

+end

+disp(q,'This input gives the output:');

+y=b1*y1+b2*y2;

+disp(y,'For the system to be linear the output should be:');

+disp('Hence the system is linear');

+disp('For a delay (T) of 2 seconds');

+disp('At t=3 seconds:');

+t=3;

+a=x(1,2*t-2);

+b=y(1,t-2);

+c=x(1,2*t-4);

+disp(a,'x(2t-T):');

+disp(b,'is not equal to y(2t-T):');

+disp(c,'while x(2t-2*T):');

+disp('Hence the system is Time variant');

diff --git a/1592/CH7/EX7.5/Example_7_5.sce b/1592/CH7/EX7.5/Example_7_5.sce
new file mode 100755
index 000000000..2df5f0f7a
--- /dev/null
+++ b/1592/CH7/EX7.5/Example_7_5.sce
@@ -0,0 +1,36 @@
+//Scilab Code for Example 7.5 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear x y1 y y2 q t n;

+clear;

+//y(t)=x(2*n)

+disp('y(n) depends upon past inputs for n<0');

+disp('y(n) depends upon future inputs for n>0');

+disp('Hence the system is Dynamic');

+x1=[1,3,5,3,2,5,3,9];//random variable

+x2=[2,4,6,4,2,4,2,1];

+for n=1:4

+    y1(1,n)=x1(2*n);

+    y2(1,n)=x2(2*n);

+end

+b1=2;

+b2=3;

+x=b1*x1+b2*x2;

+disp(x,'The input to the system is:');

+for n=1:4

+    q(1,n)=x(2*n);

+end

+disp(q,'This input gives the output:');

+y=b1*y1+b2*y2;

+disp(y,'For the system to be linear the output should be:');

+disp('Hence the system is linear');

+disp('For a delay (n0) of 2 seconds');

+disp('At n=3 seconds:');

+t=3;

+a=x(1,2*n-2);

+b=y(1,n-2);

+c=x(1,2*n-4);

+disp(a,'x(2n-n0):');

+disp(b,'is not equal to y(2n-n0):');

+disp(c,'while x(2n-2*n0):');

+disp('Hence the system is Time variant');

diff --git a/1592/CH7/EX7.6/Example_7_6.sce b/1592/CH7/EX7.6/Example_7_6.sce
new file mode 100755
index 000000000..754c5deff
--- /dev/null
+++ b/1592/CH7/EX7.6/Example_7_6.sce
@@ -0,0 +1,20 @@
+//Scilab Code for Example 7.6 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear x y1 y y2 q t n;

+clear;

+//y(n)=x(n)-x(n-1);

+x=[2,4,3,6,7]

+for n=2:5

+    y(1,n)=x(n)-x(n-1);

+end

+disp(y,'This input gives the output:');

+disp('For a shift (n0) of 2 seconds');

+disp('At n=3 seconds:');

+n=5;

+b=y(n-2);

+a=x(n-2)-x(n-2-1);

+disp(a,'x(n-2):');

+disp(b,'is equal to y(n-2):');

+disp('Hence the system is Shift invariant/fixed');

+

diff --git a/1592/CH7/EX7.7/Example_7_7.sce b/1592/CH7/EX7.7/Example_7_7.sce
new file mode 100755
index 000000000..1a302133c
--- /dev/null
+++ b/1592/CH7/EX7.7/Example_7_7.sce
@@ -0,0 +1,35 @@
+//Scilab Code for Example 7.7 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear x y1 y y2 q t n;

+clear;

+//y(t)=n*x(n)

+disp('y(n) depends only upon present inputs');

+disp('(i)    Hence the system is Dynamic');

+x1=[1,3,5,3,2,5,3,9];//random variable

+x2=[2,4,6,4,2,4,2,1];

+for n=1:4

+    y1(1,n)=n*x1(n);

+    y2(1,n)=n*x2(n);

+end

+b1=2;

+b2=3;

+x=b1*x1+b2*x2;

+disp(x,'The input to the system is:');

+for n=1:4

+    q(1,n)=n*x(n);

+end

+disp(q,'This input gives the output:');

+y=b1*y1+b2*y2;

+disp(y,'For the system to be linear the output should be:');

+disp('(ii)    Hence the system is linear');

+disp('For a delay (n0) of 2 seconds');

+disp('At n=3 seconds:');

+t=3;

+a=x(1,n-2);

+b=y(1,n-2);

+c=2*x(1,n-2);

+disp(a,'x(n-n0):');

+disp(b,'is not equal to y(n-n0):');

+disp(c,'while (n-n0)*x(n-n0):');

+disp('(iii)    Hence the system is Time variant');

diff --git a/1592/CH7/EX7.8/Example_7_8.sce b/1592/CH7/EX7.8/Example_7_8.sce
new file mode 100755
index 000000000..c5ef468b6
--- /dev/null
+++ b/1592/CH7/EX7.8/Example_7_8.sce
@@ -0,0 +1,23 @@
+//Scilab Code for Example 7.8 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear x y1 y y2 q t n;

+clear;

+//y(t)=sum(x(n)),n-2<=n=<n+2

+x1=[1,3,5,3,0,0,0,0,0,0];//random variable

+x2=[2,4,6,4,0,0,0,0,0,0];

+for n=1:4

+    y1(1,n)=x1(n)+x1(n+1)+x1(n+2)+x1(n+3)+x1(n+4);

+    y2(1,n)=x2(n)+x2(n+1)+x2(n+2)+x2(n+3)+x2(n+4);

+end

+b1=2;

+b2=3;

+x=b1*x1+b2*x2;

+disp(x,'The input to the system is:');

+for n=1:4

+    q(1,n)=x(n)+x(n+1)+x(n+2)+x(n+3)+x(n+4);

+end

+disp(q,'This input gives the output:');

+y=b1*y1+b2*y2;

+disp(y,'For the system to be linear the output should be:');

+disp('(i)    Hence the system is linear');

diff --git a/1592/CH7/EX7.9/Example_7_9.sce b/1592/CH7/EX7.9/Example_7_9.sce
new file mode 100755
index 000000000..c804243cb
--- /dev/null
+++ b/1592/CH7/EX7.9/Example_7_9.sce
@@ -0,0 +1,31 @@
+//Scilab Code for Example 7.9 of Signals and systems by

+//P.Ramakrishna Rao

+clc;

+clear x y1 y y2 q t n;

+clear;

+//y(t)=exp|x(n)|

+x1=[1,3,5,3];//random variable

+x2=[2,4,6,4];

+for n=1:4

+    y1(1,n)=exp(abs(x1(n)));

+    y2(1,n)=exp(abs(x2(n)));

+end

+b1=2;

+b2=3;

+x=b1*x1+b2*x2;

+disp(x,'The input to the system is:');

+for n=1:4

+    q(1,n)=exp(abs(b1*(x1(n))+b2*(x2(n))));

+end

+disp(q,'This input gives the output:');

+y=b1*y1+b2*y2;

+disp(y,'For the system to be linear the output should be:');

+disp('(ii)    Hence the system is not linear');

+disp('For a delay (n0) of 2 seconds');

+disp('At n=3 seconds:');

+n=4;

+a=exp(abs(x1(n-2)));

+b=y1(1,n-2);

+disp(a,'e^x(n-n0):');

+disp(b,'is equal to y(n-n0):');

+disp('(iii)    Hence the system is Time invariant');