Consider a discrete time signal x[n] whose discrete time Fourier transform is X(ejω) where X(ejω)=11−e−jω⎛⎜⎜⎝sin32ωsinω2⎞⎟⎟⎠+5πδ(ω);−π≤ω≤π Then the value of x[n] at n=3 is4

Consider a discrete time signal x[n] whose discrete time Fourier trans

1.	Consider a discrete time signal x[n] whose discrete time Fourier transform is X(ejω) where X(ejω)=11−e−jω⎛⎜⎜⎝sin32ωsinω2⎞⎟⎟⎠+5πδ(ω);−π≤ω≤π Then the value of x[n] at n=3 is4
Answer» Consider a discrete time signal x[n] whose discrete time Fourier transform is $X (e^{j ω})$ where $X (e^{j ω}) = \frac{1}{1 - e^{- j ω}} ⎛ ⎜⎜ ⎝ \frac{s i n \frac{3}{2} ω}{s i n \frac{ω}{2}} ⎞ ⎟⎟ ⎠ + 5 π δ (ω); - π \leq ω \leq π$ Then the value of x[n] at n=3 is 4

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Consider a discrete time signal x[n] whose discrete time Fourier transform is X(ejω) where X(ejω)=11−e−jω⎛⎜⎜⎝sin32ωsinω2⎞⎟⎟⎠+5πδ(ω);−π≤ω≤π Then the value of x[n] at n=3 is4

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