Consider the signal x(t) = (t + 1) + (t 1). (a) Find its Fourier transform
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Consider the signal x(t) = δ(t + 1) + δ(t − 1).
(a) Find its Fourier transform X(Ω). Determine if x(t) is band-limited or not. If band-limited, give its maximum frequency.
(b) Filtering x(t) with a filter of magnitude H(jΩ) = u(Ω + 1) − u(Ω − 1) and zero phase the output is y(t). Is y(t) band-limited? If so, what is its maximum frequency.
(c) Obtain an expression for y(t), is it time-limited?
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