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The impulse response and input signal are given by h(t) = e−atu(t) and x(t) = t(u(t−t1) − u(t−t2)). Obtain the output y(t) = x(t)∗h(t) by using the following methods. (a) Time domain convolution integration (b) Fourier transformation (c) By using y(m+n)(t) = x(m)(t)∗h(n)(t).

The impulse response and input signal are given by h(t) = e−atu(t) and x(t) = t(u(t−t1) − u(t−t2)). Obtain the output y(t) = x(t)∗h(t) by using the following methods. (a) Time domain convolution integration (b) Fourier transformation (c) By using y(m+n)(t) = x(m)(t)∗h(n)(t).

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The impulse response and input signal are given by
h ( t ) = e − a t u ( t )
and
x ( t ) = t ( u ( t − t 1 ) − u ( t − t 2 ) ) .
Obtain the output y ( t ) = x ( t ) ∗ h ( t ) by using the following methods. (a) Time domain convolution integration (b) Fourier transformation (c) By using y ( m + n ) ( t ) = x ( m ) ( t ) ∗ h ( n ) ( t ) .

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