K.S.G.B.S’S BHARAT RATNA INDIRA GANDHI COLLEGE OF ENGINEERING KEGAON, SOLAPUR DEPARTMENT OF ELECTRONICS & TELECOMMUNICATION ENGINEERING CA-2 Test Course: B.Tech DSE (IV Semester) I. Answer Any 4 questions only 1. 2. 3. 4. 5. II. Branch: E&TC 3x4=8 Define convolution sum and integral Explain the steps for finding the convolution of continuous time signal Derive the step response in terms of impulse response Define the Fourier series and write the its formula Explain the Dirichlet condition for existence of Fourier series Answer Any 3 questions only 4x3=12 1. Explain the properties of Convolution 2. Explain the properties of Fourier series 3. Find the convolution integral of following signal x(n) =(1,1,0,1,1) h(n) =(1,-2,-3,4) 4. Find the trigonometric Fourier series of following signal x(t) = 1-t 0<t<1 t-1 0<t<1 ***************