4.1. Use the Fourier transform analysis equation (4.9) to calculate the Fourier transforms of: (a) e ₂-2(t-1)u(t − 1) -2
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4.1. Use the Fourier transform analysis equation (4.9) to calculate the Fourier transforms of: (a) e ₂-2(t-1)u(t − 1) -2
4.1. Use the Fourier transform analysis equation (4.9) to calculate the Fourier transforms of: (a) e ₂-2(t-1)u(t − 1) -2|t-1| (b) e Sketch and label the magnitude of each Fourier transform. 4.2. Use the Fourier transform analysis equation (4.9) to calculate the Fourier transforms of: (a) 8(t + 1) + 8(t − 1) (b) d{u(−2 − t) + u(t − 2)} Sketch and label the magnitude of each Fourier transform. 4.3. Determine the Fourier transform of each of the following periodic signals: (a) sin(2πt +) (b) 1 + cos(6πt + g) 4.4. Use the Fourier transform synthesis equation (4.8) to determine the inverse urier transforms of: (2) X(jω) = 2π δ(ω) + π δ(ω – 4π) + π δ(ω + 4π)