CSIR-NET 2015
88. Consider the two time sequences with the elements
a=1, 2, 3, 1, 2
b=1, 3, 5, 7
What are the first two elements of their convolution?
A) 5 , 1 B) 2, 4 C) 1, 5 D) 3, 6
Solution:
Convolution: Is a mathematical way of combing two signals to achieve a third, modified signal. The signal we record seems to reposed well to being treated as a series of signals superimposed upon each other is seismic signal seem to respond convolution-ally.
a= 1, 2, 3, 1, 2
b= 1, 3, 5, 7
1 2 3 1 2
7 5 3 1 1*1= 1
7 5 3 1 3*1+1*2= 5
7 5 3 1 5*1+3*2+1*3=14
7 5 3 1 7*1+5*2+3*3+1*1=27
7 5 3 1 7*2+5*3+3*1+1*2=34
7 5 3 1 7*3+5*1+3*2=32
7 5 3 1 7*1+5*2=17
7 5 3 1 7*2=14
a*b ={ 1, 5, 14, 27, 34, 32, 17, 14 }
First two elements are {1, 5}
Answer: C
Post a Comment
Post a Comment