2. Given a sequence x[n] with Fourier transform X(ej), determine the Fourier transform of the following sequences in terms of X(ejw): (a) x₁[n] = 2x[n+2] + 3x[3-n] (b) x₂[n] = (1 + x[n]) cos(0.2ân+/6) (c) x3[n] = 2e10.5n(n-2)x[n+ 2] (d) x4[n] =x[n] − x*[−n]

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Fourier Transform

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volumes and frequencies. The term Fourier amendment refers to each illustration of the frequency range and the mathematical functionality related to the representation of the frequency domain and the function of space or time.