Convolution Matching

Consider the convolution of two of the following signals, which are all equal to 0 outside the indicated ranges:

Determine if each of the following signals can be constructed by convolving (a or b or c) with (a or b or c). If it can, indicate which signals should be convolved.

-- a*a a*b a*c b*a b*b b*c c*a c*b c*c none

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-- a*a a*b a*c b*a b*b b*c c*a c*b c*c none

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-- a*a a*b a*c b*a b*b b*c c*a c*b c*c none

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-- a*a a*b a*c b*a b*b b*c c*a c*b c*c none

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-- a*a a*b a*c b*a b*b b*c c*a c*b c*c none

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-- a*a a*b a*c b*a b*b b*c c*a c*b c*c none

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