Digital Signal Processing Discrete Time Systems Described Difference Equations Online Exam Quiz
Digital Signal Processing Discrete Time Systems Described Difference Equations GK Quiz. Question and Answers related to Digital Signal Processing Discrete Time Systems Described Difference Equations. MCQ (Multiple Choice Questions with answers about Digital Signal Processing Discrete Time Systems Described Difference Equations
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?
Options
A : (-1)n-1 + (4)n-2
B : (-1)n+1 + (4)n+2
C : (-1)n+1 + (4)n-2
D : None of the mentioned
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)?
Options
A : [-frac{1}{5} (-1)n–frac{6}{5} (4)n]u(n)
B : [frac{1}{5} (-1)n–frac{6}{5} (4)n]u(n)
C : [frac{1}{5} (-1)n+frac{6}{5} (4)n]u(n)
D : [-frac{1}{5} (-1)n+frac{6}{5} (4)n]u(n)
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)?
Options
A : frac{1}{1+a} u(n)
B : frac{1}{1-a} u(n)
C : frac{1}{1+a}
D : frac{1}{1-a}
What is the particular solution of the difference equation y(n)=frac{5}{6}y(n-1)-frac{1}{6}y(n-2)+x(n) when the forcing function x(n)=2n, n?0 and zero elsewhere?
Options
A : frac{1}{5} 2n
B : frac{5}{8} 2n
C : frac{8}{5} 2n
D : frac{5}{8} 2-n
What is the homogenous solution of the system described by the first order difference equation y(n)+ay(n-1)=x(n)?
Options
A : c(a)n(where ‘c’ is a constant)
B : c(a)-n
C : c(-a)n
D : c(-a)-n
Zero-state response is also known as ____________
Options
A : Free response
B : Forced response
C : Natural response
D : None of the mentioned
The solution obtained by assuming the input x(n) of the system is zero is ____________
Options
A : General solution
B : Particular solution
C : Complete solution
D : Homogenous solution
Zero-input response is also known as Natural or Free response.
Options
A : True
B : False
C :
D :
The total solution of the difference equation is given as _______________
Options
A : yp(n)-yh(n)
B : yp(n)+yh(n)
C : yh(n)-yp(n)
D : None of the mentioned
If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as ____________
Options
A : Zero-state response
B : Zero-input response
C : Zero-condition response
D : None of the mentioned
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