Question: 2. Consider the LTI discrete system given below [5 marks] y[n]=2x[n]x[n1] (a) Find and sketch the system impulse response h[n], in terms of [n] [2

2. Consider the LTI discrete system given below [5 marks] y[n]=2x[n]x[n1] (a) Find and sketch the system impulse response h[n], in terms of [n] [2 marks] (b) Find system output for input signal x[n]={2n,0,n=0,1,2,3otherwise], by using three methoc [3 marks] Hint: You can find y[n] using following methods: 1. System differential equation y[n]=2x[n]x[n1] 2. Mathematical equation of Convolution y[n]=x[n]h[n] (see question 1.) 3. Graphical method using shifting and linearity property of LTI systems: Write x[n] in terms of [n], find y[n] in terms of h[n], and then graphically find y[n]

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