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refer formulas below

Convolution . Definition: h(t) * x(t) = [_h(t -T)x()dr = _h(r)x(t -T)dr I1 (t) * 12(t) = 12(t) * =1 (t) 1(t) * (12(t) * 13(t)) = (x1(t) = 12(t)) * 13(t)) associativety property of convolu- tion 1(t) * (12(t) + ra(t)) = =1 (t) * 12(t) + m(t) * Is(t) distributivity property of convolutionQuestion 4: Consider the triangular pulse 0.9 1015 1.2 0.1 -0.1 -2 2 * (1) = 3(1- 4) 1 ST otherwise Note that the convolution the rectangular function with itself: x(t) = n(r)m(t - r)dr0.8 0.7 0.6 0.5 D.4 0.3 0.2 -2 -1 1 2 and the Fourier transform of the a rectangular function with width T and height 1 is 2 sin (@7/2) (a) (15 marks) Find the Fourier Transform X(jw). It will be quicker to use the transform pair table and transform properties than to directly compute. (b) (5 marks) Plot X(jw), carefully labelling axes