Gate
Exam
Numerical Ability
Algebra
If x(n) ={n for 0<=n<=10
0, otherwise
y(n)= x(n) * x(n)
then y(4)=?
Read Solution (Total 10)
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- y(n)= x(n) * x(n)
y(4)= x(4) * x(4)
now, x(n) ={n for n belongs[0,10] so, x(4)= 4 as
so, y(4)= 4*4 =16 - 10 years agoHelpfull: Yes(2) No(2)
- given is finite sample sequence starting from 0.
total num of samples 11 including x(0)=0.
so linear convolution is
0000000000...
0123456789...
02468..............
039.................
048............
y(n)={0,0,1,4,10,23,...............}
ds seq start from 0 sample
y(0)=0
y(1)=0
............y(4)=10
- 10 years agoHelpfull: Yes(2) No(0)
- 16? that simple? Gate? or am i missing something?
- 10 years agoHelpfull: Yes(1) No(1)
- y(n)= x(n) * x(n)
y(4)= x(4) * x(4)
now, x(n) ={n for 0 - 10 years agoHelpfull: Yes(0) No(1)
- hey its 20 u can do it simple by using periodic convolution.
- 10 years agoHelpfull: Yes(0) No(0)
- sorry linear convolution not periodic
- 10 years agoHelpfull: Yes(0) No(1)
- guys it is convolution not multiplication
I hope ans is 10 by linear convolution - 10 years agoHelpfull: Yes(0) No(1)
- simple , 4*4= 16 it is
- 10 years agoHelpfull: Yes(0) No(1)
- 1 2 3 4 . . .
1 2 3 4 . . .
_______________. . . .
1 2 3 4.....
2 4 6 8.....
3 6 9.....
4 8....
_________________
1 4 10 20 .....
=> y(4)=20 - 10 years agoHelpfull: Yes(0) No(1)
- x(n)=n...here n=4..so x(4)=4
y(n)=x(n)*x(n)
y(4)=x(4)*x(4)=4*4=16 - 10 years agoHelpfull: Yes(0) No(0)
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