Questions
1
If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as ____________
Answer:Zero-state response
4
The solution obtained by assuming the input x(n) of the system is zero is ____________
Answer:Homogenous solution
5
What is the homogenous solution of the system described by the first order difference equation y(n)+ay(n-1)=x(n)?
Answer:c(-a)n
6
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?
Answer:(-1)n+1 + (4)n+2
7
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)?
Answer:(a)
8
The total solution of the difference equation is given as _______________
Answer:yp(n)+yh(n)
9
The formula y(n)=∑∞k=−∞x(k)h(n−k) that gives the response y(n) of the LTI system as the function of the input signal x(n) and the unit sample response h(n) is known as ______________
Answer:Convolution sum
10
What is the order of the four operations that are needed to be done on h(k) in order to convolute x(k) and h(k)?
Step-1:Folding
Step-2:Multiplication with x(k)
Step-3:Shifting
Step-4:Summation
Answer:1-3-2-4
