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-rwxr-xr-x2294/CH1/EX1.12/EX1_12.sce31
-rwxr-xr-x2294/CH1/EX1.13/EX1_13.sce38
-rwxr-xr-x2294/CH1/EX1.14/EX1_14.sce52
-rwxr-xr-x2294/CH1/EX1.15/EX1_15.sce34
-rwxr-xr-x2294/CH1/EX1.16/EX1_16.sce11
-rwxr-xr-x2294/CH1/EX1.17/EX1_17.sce35
-rwxr-xr-x2294/CH1/EX1.19.a/EX1_19.sce11
-rwxr-xr-x2294/CH1/EX1.21/EX1_21.sce34
-rwxr-xr-x2294/CH1/EX1.22/EX1_22.sce94
-rwxr-xr-x2294/CH1/EX1.7/EX1_7.sce44
-rwxr-xr-x2294/CH1/EX1.8/EX1_8.sce37
11 files changed, 421 insertions, 0 deletions
diff --git a/2294/CH1/EX1.12/EX1_12.sce b/2294/CH1/EX1.12/EX1_12.sce
new file mode 100755
index 000000000..e84599698
--- /dev/null
+++ b/2294/CH1/EX1.12/EX1_12.sce
@@ -0,0 +1,31 @@
+//Example 1.12<i>
+//check whether the given signal is periodic or not
+clc;
+t=-5:.01:5;
+x=%i*(exp(%i*5*t));
+subplot(311)
+plot(t,x);
+disp('(a)This shows that the given signal is periodic with priod(.4*%pi)');
+//Example 1.12<ii>
+//Show whether the given signal is periodic or not
+clc;
+t=-1/5:0.001:1/5;
+x=sin(50*%pi*t);
+subplot(312)
+plot(t,x);
+disp('(b)the plotting shows that the given signal is periodic with period 1/25');
+//Example 1.12.<iii>
+//Check whether the given signal is periodic or not
+clc;
+t=-1:0.01:1;
+x=20*cos((10*%pi*t)+(%pi/6));
+subplot(313)
+plot(t,x);
+disp('(c)Plot shows that the given signal is periodic with period .2');
+
+disp('In the figure we have the plots of part (a) - (c) in clockwise order strating from the top left')
+
+
+
+
+
diff --git a/2294/CH1/EX1.13/EX1_13.sce b/2294/CH1/EX1.13/EX1_13.sce
new file mode 100755
index 000000000..861169ea1
--- /dev/null
+++ b/2294/CH1/EX1.13/EX1_13.sce
@@ -0,0 +1,38 @@
+//Example 1.13<i>
+//Check whether the given signal is periodic or not
+clc;
+t=-10:.01:10;
+y=2*cos(10*t+1)-sin(4*t-1);
+subplot(221)
+plot(t,y);
+disp('(a) The following signal is periodic with period %pi' );
+//Example 1.13<ii>
+//Show whether the given signal is periodic or not
+clc;
+t=-1:.01:1;
+x=cos(60*%pi*t)+sin(50*%pi*t);
+subplot(222)
+plot(t,x);
+disp('(b)Ther following figure shows that the given signal is periodic with the following period');
+//Example1.13<iv>
+//Check whether the given signal is periodic or not
+clc;
+t=-10:0.01:10;
+x=3*cos(4*t)+2*sin(%pi*t);
+subplot(223)
+plot(t,x);
+disp('(c)The signal is not periodic since ratio of two time periods is %pi/4 which is not rational number');
+//Example 1.13<V>
+//Check whether the given signal is periodic or not
+clc;
+t=0:10;
+for i=1:length(t)
+ u(i)=1;
+end
+x=u(i)-(1/2);
+subplot(224)
+plot(t,x);
+disp('(d)The signal is not periodic as seen from figure');
+
+disp('In the figure we have the plots of part (a) - (d) in clockwise order strating from the top left')
+
diff --git a/2294/CH1/EX1.14/EX1_14.sce b/2294/CH1/EX1.14/EX1_14.sce
new file mode 100755
index 000000000..acc51a469
--- /dev/null
+++ b/2294/CH1/EX1.14/EX1_14.sce
@@ -0,0 +1,52 @@
+//Example 1.14<i>
+//Find whether the following signal is periodic or not
+clc;
+n=-10:10;
+x=cos(2*%pi*n);
+subplot(321)
+plot2d(n,x);
+f=(2*%pi)/(2*%pi);//where f is the no of cycles/sample.
+N=1/f;//where N is the no of samples per cycle.
+disp('samples',N,'(a)The given signal is periodic');
+//Example 1.14<ii>
+//Find whether the following signal is periodic or not.
+clc;
+n=-20:20;
+x=exp(%i*6*%pi*n);
+subplot(322)
+plot2d3(n,x);
+f=(6*%pi)/(2*%pi);//where f is the no of cycles per sample.
+N=1/f;//where N is the no of samples per cycle.
+disp('samples',N,'(b)the given signal is periodic');
+//example 1.14<1v>
+//Find whether the given signal is periodic or not
+clc;
+n=-30:30;
+x=exp(%i*(2*%pi/3)*n)+exp(%i*(3*%pi/4)*n);
+subplot(323)
+plot2d3(n,x);
+disp('(c)The given signal is periodic');
+//Example 1.14<v>
+//Find whether the given signal is periodic or not;
+clc;
+n=-20:20;
+x=exp(%i*(3*%pi/5)*(n+1/2));
+subplot(324)
+plot(n,x);
+f=(3*%pi/5)/(2*%pi);//where f is the no of cycles per sample.
+N=1/f;//where n is the no of samples per cycle.
+disp('samples',N,'(d)the given signal is periodic');
+//Example1.14<vi>
+//whether the given signal is periodic or not
+clc;
+n=-40:40;
+x=12*cos(20*n);
+subplot(325)
+plot(n,x);
+f=20/(2*%pi);//where f is the no of cycles per sample
+N=1/f;//where n is the no of sample per cycle
+disp('samples',N,'(e)the given signal is not peridic');
+
+disp('In the figure we have the plots of part (a) - (d) in clockwise order strating from the top left');
+
+
diff --git a/2294/CH1/EX1.15/EX1_15.sce b/2294/CH1/EX1.15/EX1_15.sce
new file mode 100755
index 000000000..d73b35af7
--- /dev/null
+++ b/2294/CH1/EX1.15/EX1_15.sce
@@ -0,0 +1,34 @@
+//Example 1.15<i>
+//Find the even and odd components of the signal
+clc;
+clear;
+t=-10:.1:10;
+for j=1:length(t)
+ i=t(j);
+ x(j)=cos(i)+sin(i)+cos(i)*sin(i);
+ y(j)=cos(-i)+sin(-i)+cos(-i)*sin(-i);
+ e(j)=(1/2)*(x(j)+y(j));
+ o(j)=(1/2)*(x(j)-y(j));
+end
+disp('In the plot even component is in red and odd component is in blue')
+plot(t,e,'red')
+plot(t,o,'blue')
+//Example 1.15<ii>
+//Find the even and odd components of the signal
+clc;
+clear;
+n=-2:2;
+c=3;
+x=[-2 1 2 -1 3];
+for j=1:length(n)
+ i=n(j);
+ xe(j)=(1/2)*(x(c+i)+x(c-i));
+ xo(j)=(1/2)*(x(c+i)-x(c-i));
+end
+xe=[xe(c-2),xe(c-1),xe(c+0),xe(c+1),xe(c+2)];
+xo=[xo(c-2),xo(c-1),xo(c+0),xo(c+1),xo(c+2)];
+
+disp(xo,'odd component')
+disp(xe,'even component')
+
+
diff --git a/2294/CH1/EX1.16/EX1_16.sce b/2294/CH1/EX1.16/EX1_16.sce
new file mode 100755
index 000000000..84f57ec22
--- /dev/null
+++ b/2294/CH1/EX1.16/EX1_16.sce
@@ -0,0 +1,11 @@
+//Example 1.16
+//Determine the power of the signal
+clc;
+A=2;
+theta=0;
+t=0:0.001:10;
+y=A*cos(2*%pi*t+theta);
+P=(integrate('A^2*(cos(2*%pi*t))^2','t',0,2*%pi))/(2*%pi);
+disp(P,'power of the signal is:');
+y=round(P);
+disp(y,'The given signal is power signal as power is finite');
diff --git a/2294/CH1/EX1.17/EX1_17.sce b/2294/CH1/EX1.17/EX1_17.sce
new file mode 100755
index 000000000..806bf7ff6
--- /dev/null
+++ b/2294/CH1/EX1.17/EX1_17.sce
@@ -0,0 +1,35 @@
+//Example 1.17<i>
+//Determine the power and the rms value of the signal
+clc;
+t=0:0.001:10;
+y=5*cos(50*t+%pi/3);
+P=(integrate('5^2*(cos(50*t))^2','t',0,2*%pi))/(2*%pi);
+rmsvalue=sqrt(P);
+disp(P,'The power of the given signal is:');
+disp(rmsvalue,'the rms value is:');
+//Example 1.17<ii>
+//Determine the power amd rms value of the signal
+clc;
+t=0:0.001:10;
+x1=10*sin(50*t+%pi/4);
+x2=16*cos(100*t+%pi/3);
+P1=(integrate('10^2*(sin(50*t))^2','t',0,2*%pi))/(2*%pi);
+P2=(integrate('16^2*(cos(100*t))^2','t',0,2*%pi))/(2*%pi);
+P=P1+P2;
+rmsvalue=sqrt(P);
+disp(P,'The power of the given signal is:');
+disp(rmsvalue,'the rms value is:');
+//Example 1.17 <iii>
+//Determine the power and rms value of the signal
+clc;
+t=0:0.001:10;
+x1=5*cos(15*t);
+x2=5*cos(5*t);
+P1=(integrate('5^2*(cos(15*t))^2','t',0,2*%pi))/(2*%pi);
+P2=(integrate('5^2*(cos(5*t))^2','t',0,2*%pi))/(2*%pi);
+P=P1+P2;
+rmsvalue=sqrt(P);
+disp(P,'The power of the given signal is:');
+disp(rmsvalue,'the rms value is:');
+
+
diff --git a/2294/CH1/EX1.19.a/EX1_19.sce b/2294/CH1/EX1.19.a/EX1_19.sce
new file mode 100755
index 000000000..770e948f4
--- /dev/null
+++ b/2294/CH1/EX1.19.a/EX1_19.sce
@@ -0,0 +1,11 @@
+//Example 1.19.1
+//whether the signal is energy signal or power signal
+clc ;
+ t =0:0.001:10;
+ y= exp (-10*t);
+ E= integrate ( ' ( exp(-10*t)) ^2 ' , ' t ' ,0 ,2* %pi );
+disp (E, ' Energy o f the s i g n a l i s ' );
+ disp ( 'since the energy is finite hence it is energy signal');
+ figure
+plot(t,y,'red');
+xtitle('Required figure');
diff --git a/2294/CH1/EX1.21/EX1_21.sce b/2294/CH1/EX1.21/EX1_21.sce
new file mode 100755
index 000000000..2ecbd2b87
--- /dev/null
+++ b/2294/CH1/EX1.21/EX1_21.sce
@@ -0,0 +1,34 @@
+//Example 1.21<i>
+//whether the signal is energy signal
+clc ;
+ t =0:0.001:10;
+ y= exp (-3*t);
+ E= integrate ( ' ( exp(-3*t)) ^2 ' , ' t ' ,0 ,2* %pi );
+disp (E, ' Energy o f the s i g n a l i s ' );
+ disp ( 'since the energy is finite , hence it is energy signal');
+ //example1.21<iii>
+//show whethet x(t)=cost is a power or energy signal
+clc;
+t=0:0.01:100;
+x=cos(t);
+P=(integrate('cos(t)^2','t',0,2*%pi))/(2*%pi);
+disp(P,'The power of the signal is:');
+E=(integrate('cos(t)^2','t',0,2*%pi));
+disp(E,'The energy is:');
+disp('As t tends to infinity energy also tends to iinfinity but power remains finite.hence it is power signal');
+//Example 1.21<iv>
+//Find the energy of the signal
+clc;
+E=0;//initialize
+for n=0:200
+ x(n+1)=(1/3)^n;
+end
+for n=0:200
+ E=E+x(n+1)^2;
+end
+if E<%inf then
+ disp(E,'The energy of the signal is;');
+else disp('The given signal is not energy signal');
+end
+
+
diff --git a/2294/CH1/EX1.22/EX1_22.sce b/2294/CH1/EX1.22/EX1_22.sce
new file mode 100755
index 000000000..977f731eb
--- /dev/null
+++ b/2294/CH1/EX1.22/EX1_22.sce
@@ -0,0 +1,94 @@
+//Example 1.22<i>
+//Find whether the given signal is causal or not.
+clear all;
+clc;
+t=-10:10;
+a=.5;
+for i=1:length(t)
+ if t(i)<0 then
+ x1(i)=0;
+ else
+ x1(i)=exp(a.*t(i));
+ end
+end
+causal=%t;
+for i=1:length(t)
+ if t(i)<0 & x1(i)~=0 then
+ causal=%f;
+ end
+end
+disp(causal,"The statement that the system is causal is:");
+//Example 1.22<ii>
+//Find whether the given signal is causal or not.
+clear all;
+clc;
+t=-10:10;
+for i=1:length(t)
+ if t(i)>0 then
+ x2(i)=0;
+ else
+ x2(i)=exp(-2.*t(i));
+ end
+end
+causal=%t;
+for i=1:length(t)
+ if t(i)<0 & x2(i)~=0 then
+ causal=%f;
+ end
+end
+disp(causal,"The statement that the system is causal is:");
+//Example 1.22<iii>
+//Find whether the given signal is causal or not.
+clear all;
+clc;
+t=-10:10;
+c=2;
+for i=1:length(t)
+ x3(i)=sin(c.*t(i));
+ end
+causal=%t;
+for i=1:length(t)
+ if t(i)<0 & x3(i)~=0 then
+ causal=%f;
+ end
+end
+disp(causal,"The statement that the system is causal is:");
+//Example 1.22<iv>
+//Find whether the given signal is causal or not.
+clear all;
+clc;
+n=-10:10;
+for i=1:length(n)
+ if n(i)<-3 | n(i)>2 then
+ x1(i)=0;
+ else
+ x1(i)=1;
+ end
+ end
+causal=%t;
+for i=1:length(n)
+ if n(i)<0 & x1(i)~=0 then
+ causal=%f;
+ end
+end
+disp(causal,"The statement that the system is causal is:");
+//Example 1.22<v>
+//Find whether the given signal is causal or not.
+clear all;
+clc;
+n=-10:10;
+for i=1:length(n)
+ if n(i)>-2 then
+ x2(i)=(1/2)^n(i);
+ else
+ x2(i)=0;
+ end
+ end
+causal=%t;
+for i=1:length(n)
+ if n(i)<0 & x2(i)~=0 then
+ causal=%f;
+ end
+end
+disp(causal,"The statement that the system is causal is:");
+
diff --git a/2294/CH1/EX1.7/EX1_7.sce b/2294/CH1/EX1.7/EX1_7.sce
new file mode 100755
index 000000000..b79864a65
--- /dev/null
+++ b/2294/CH1/EX1.7/EX1_7.sce
@@ -0,0 +1,44 @@
+//Example 1_7_<i>
+//Sketch the following signal.
+clc;
+clear all;
+t=-5:1/1000:5;
+for i=1:length(t)
+ if t(i)>1 then
+ x(i)=0;
+ else
+ x(i)=1;
+ end
+end
+f=scf(0);
+plot2d(t,x);
+plot(t,x,'red');
+xtitle('Required figure','t','x(t)');
+xgrid();
+xs2jpg(0, 'problem1_7_i-plot.jpg');
+//Example 1_7_<ii>
+//Sketch the following signal.
+clc;
+t=-5:1/1000:5;
+for i=1:length(t)
+ if t(i)<1 then
+ x(i)=0;
+ else
+ x(i)=1;
+ end
+end
+for i=1:length(t)
+ x1(i)=-2*x(i);
+end
+//figure
+f=scf(0);
+plot2d(t,x);
+xtitle('required figure','t','x(t)');
+xs2jpg(0, 'problem1.7.2-plot-a.jpg');
+//figure
+f=scf(1);
+plot2d(t,x1);
+plot(t,x1,'blue');
+xtitle('Required figure','t','x1(t)');
+xs2jpg(1, 'problem1.7.2-plot-b.jpg');
+
diff --git a/2294/CH1/EX1.8/EX1_8.sce b/2294/CH1/EX1.8/EX1_8.sce
new file mode 100755
index 000000000..cb18627ca
--- /dev/null
+++ b/2294/CH1/EX1.8/EX1_8.sce
@@ -0,0 +1,37 @@
+//Example 1.8.<i>
+//Sketch the following signal
+clc;
+clear all;
+t=-10:.001:10;
+for i=1:length(t)
+ if t(i)>=-2 & t(i)<3 then
+ x(i)=1;
+ else
+ x(i)=0;
+ end
+end
+//figure
+f=scf(0);
+plot2d(t,x);
+xtitle('Required figure','t','x(t)');
+xs2jpg(0, 'EX1_8_1-plot.jpg');
+//Example 1.8.<ii>
+//Sketch the following signal.
+clc;
+clear all;
+t=-10:.001:10;
+for i=1:length(t)
+ if t(i)>=0 & t(i)<=2 then
+ x(i)=1;
+ else
+ x(i)=0;
+ end
+end
+//figure
+f=scf(0);
+plot2d(t,x,1);
+xtitle('Required figure','t','x(t)');
+xs2jpg(0, 'EX1_8_2-plot.jpg');
+
+
+
generated by cgit (git 2.34.1) at 2025-03-12 20:04:26 +0000