Test1 A signal x(n)=u(n)-u(n-100)is applied at the input of the causal system described by 1 H2)=1-0.62 Determine the output y(n)of the system.Suppose that y(-1)=0. Compute the convolution of the following signals:x=[1,2,2,1],h=[1,3,3,1] (a).The linear convolution (b).The mod-4 circular convolution (Using DFTs) The length-8 sequence:x=4,-3,2,0,-1,-2,3,1,use FFT algorithm to compute the output of the transform x侧)=2sn任tek=0l-7Test1 A signal xn un un ( ) ( ) ( 100)   is applied at the input of the causal system described by 1 1 ( ) 1 0.6 H z z   Determine the output y n( ) of the system. Suppose that y( 1) 0   . Compute the convolution of the following signals: [1, 2, 2,1]T x  , [1,3,3,1]T h  (a). The linear convolution (b). The mod-4 circular convolution（Using DFTs） The length-8 sequence: x  4,-3,2,0,-1,-2,3,1 , use FFT algorithm to compute the output of the transform           7 0 4 sin n X k x n kn  , where k  0,1,,7