WorksheetsAssesment on unit-1 & 2
Total questions: 15
Worksheet time: 8mins
If x1(n) and x2(n) are two real valued sequences of length N, and let x(n) be a complex valued sequence defined as x(n)=x1(n)+jx2(n), 0≤n≤N-1, then what is the value of x1(n)?
[x(n)-x*(n)]/2
[x(n)+x*(n)]/2
[x(n)+x*(n)]/2j
[x(n)-x*(n)]/2j
If x1(n) and x2(n) are two real valued sequences of length N, and let x(n) be a complex valued sequence defined as x(n)=x1(n)+jx2(n), 0≤ n≤ N-1, then what is the value of x2(n)?
[x(n)+x*(n)]/2
[x(n)-x*(n)]/2
[x(n)+x*(n)]/2j
[x(n)-x*(n)]/2j
How many complex multiplications are need to be performed for each FFT algorithm?
N/2 log N
Nlog2N
NlogN
N/2 log2N
How many complex additions are required to be performed in linear filtering of a sequence using FFT algorithm?
N/2 log N
2Nlog2N
NlogN
N/2 log2N
If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as
Zero-state response
Zero-input response
Zero-condition response
None of the mentioned
The total solution of the difference equation is given as
yp(n)-yh(n)
yp(n)+yh(n)
yh(n)-yp(n)
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)?
[-1/5 (-1)n–6/5 (4)n]u(n)
[1/5 (-1)n–6/5 (4)n]u(n)
[1/5 (-1)n+6/5 (4)n]u(n)
[-1/5 (-1)n+6/5 (4)n]u(n)
If x(n) and X(k) are an N-point DFT pair, then X(k+N)=?
X(-k)
-X(k)
X(k)
None of the mentioned
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
1-2-3-4
1-2-4-3
2-1-3-4
1-3-2-4
Zero-state response is also known as
Forced Response
Natural response
free response
Total response
The impulse response of a LTI system is h(n)={1,1,1}. What is the response of the signal to the input x(n)={1,2,3}?
{1,3,6,3,1}
{1,2,3,2,1}
{1,3,6,5,3}
{1,1,1,0,0}
Determine the output y(n) of a LTI system with impulse response h(n)=anu(n), |a|<1with the input sequence x(n)=u(n).
1-an+1/1-a
1+an+1/1-a
1-an-1/1+a
1-an+1/1-a
Is the system with impulse response h(n)=2nu(n-1) stable.
True
False
An LTI system is said to be causal if and only if?
Impulse response is non-zero for positive values of n
Impulse response is zero for positive values of n
Impulse response is non-zero for negative values of n
Impulse response is zero for negative values of n
If x(n)={0,0,1,1,1,1,1,0,0} then x(3n+5)=
{0,1,0,0,0,0,0,0}
{1,1,0,0,0,0,0,0}
{1,0,0,0,0,0,0,0,0}
None
