If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as:
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Zero-input response is also known as Natural or Free response.
The solution obtained by assuming the input x(n) of the system is zero is:
What is the homogenous solution of the system described by the first order difference equation y(n)+ay(n-1)=x(n)?
What is the zero-input response of the system described by the homogenous second order equation y(n)-3y(n-1)-4y(n-2)=0 if the initial conditions are y(-1)=5 and y(-2)=0?
What is the particular solution of the first order difference equation y(n)+ay(n-1)=x(n) where |a|<1, when the input of the system x(n)=u(n)?
What is the particular solution of the difference equation y(n)= 5/6y(n-1)- 1/6y(n-2)+x(n) when the forcing function x(n)=2n, n≥0 and zero elsewhere?
The total solution of the difference equation is given as:
What is the impulse response of the system described by the second order difference equation y(n)-3y(n-1)-4y(n-2)=x(n)+2x(n-1)?
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3 videos|50 docs|54 tests
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