Determine-time Fourier Transform for the signal x[n] = {

Determine-time Fourier Transform for the signal x[n] = {– 2, – 1, 0, 1, 2} will be

1. 2j(2sin 2Ω + sin Ω)
2. 2(2cos 2Ω – cos Ω)
3. – 2j(2sin 2Ω– sin Ω)
4. – 2(2cos 2Ω – cos Ω)

= – 2e^j2Ω – 1e^jΩ + 1e^-jΩ + 2e^-j2Ω
= – 2(e^j2Ω – e^-j2Ω) – 1(e^jΩ – e^-jΩ)
= – 2j2sin 2Ω– 2jsinΩ
= – 2j(2sin2Ω – sinΩ)