Testing System Linearity and Shift Invariance

[hanafnaf]

please anyone can help me

how make check the linearity and shift invarient for the system

I want to determine whether the system is linear and shift invarientby steps

g(m,n) = f(m,-1) + f(m,0) + f(m,1)

g(x) = (integration from +infinety to - infinety) f(x,z) dz

please help me
Thanks alot

 

[mathman]

Your questions are very unclear!
In first equation, what is n?
What is the "system"?
You use g for functions in both equations, one with two arguments (integers?) and the other with one (real?). Is there any connection between them?

 

[hanafnaf]

first m,n is variables but the variable n not appear as a term at the other side from the first equation
Second this equation not describe a special system

please anyone help me

 

[hanafnaf]

howwwwwwwwwwwwwwww?
anybody here?

 

[HallsofIvy]

how make check the linearity and shift invarient for the system

I want to determine whether the system is linear and shift invarientby steps

g(m,n) = f(m,-1) + f(m,0) + f(m,1)

g(x) = (integration from +infinety to - infinety) f(x,z) dz

please help me
Thanks alot

Are these then two different questions? In both of them whether g is linear and/or "shift invarient" depends upon whether f is or is not. Since you haven't told us what f is, we can't answer. If the question was whether g is linear no matter what f is, the answer is "no".

 

[hanafnaf]

we need check the system overall g and f, both is unknown