Question

please, write the mathematical definition of each system . (System1, System2, System3,System4,System5),the code is written in matlab. thanks

if sysnum==1 % System #1

y=x-4;

elseif sysnum==2 % System #2

y=n.^2.*x;

elseif sysnum==3 % System #3

y=-(x.^2);

elseif sysnum==4 % System #4

y=cos(2*pi/3-pi/7)*x;

elseif sysnum==5 % System #5

b=[-1 4 -1];

for ni=1:length(n)

y(ni)=0;

for k=0:length(b)-1;

if (ni-k)>=1

y(ni)=y(ni)+b(k+1)*x(ni-k);

end

end

end

else % Error: invalid system number

error(['labsys: Invalid system. Input sysnum must be 1, 2, ' ...

'3, 4 or 5']);

end

Answer 1

Answer;

From,

if sysnum==1 % System #1

y=x-4;

the system 1 is define as:

y[n] = x[n] - 4

from,

elseif sysnum==2 % System #2

y=n.^2.*x;

the system 2 is define as:

y[n] = n^2 x[n]

from,

elseif sysnum==3 % System #3

y=-(x.^2);

the system 3 is define as:

y[n] = - (x[n] )^2

from,

elseif sysnum==4 % System #4

y=cos(2*pi/3-pi/7)*x;

the system 4 is define as:

y[n] = cos(2pi/3-pi/7 ) x[n]

from,

elseif sysnum==5 % System #5

b=[-1 4 -1];

for ni=1:length(n)

y(ni)=0;

for k=0:length(b)-1;

if (ni-k)>=1

y(ni)=y(ni)+b(k+1)*x(ni-k);

end

end

end

the system 5 is define as:

y[n] = -x[n]+4x[n-1]-x[n-2]

Thanking you sir / madam....

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