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(Solved): ****PLEASE USE FOURIER TRANFORMS TO SOLVE THEM*** I have also attached the answers, im having troubl ...



****PLEASE USE FOURIER TRANFORMS TO SOLVE THEM*** I have also attached the answers, im having troubles with part a and b Consider a linear time-invariant system with impulse response h[n]=(2n+1)(-(2)/(3))^(n)u[n]. (a) Determine the input x[n] required to produce output y[n]=(3n+2)(-(2)/(3))^(n)u[n]. (b) Determine the output y[n] that results from input x[n]=3\delta [n]+2\delta [n-1]. (c) Determine the magnitude response of the system. (d) Is the system active or passive? Prove your answer. (e) Determine the phase response of the system. (f) Determine the group delay of the system. (a) x[n]=((2)/(3))^(n)u[n]+\delta [n].


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