Assignment:
A. A continuous time signal x(t) has the Fourier transform X(ω) = 1/jω+b where b is a constant. Determine the Fourier transform for v(t) = x(5t - 4).
V(ω) = 1/jω+5be-jω(4/5)
V(ω) = 1/ω+4be-jω(5/4)
V(ω) = 1/jω+be-jω(4/5)
V(ω) = 1/jω+5bejω(4/5)
B. For a discrete-time signal x[n] with the DTFT X(Ω) = 1/ejΩ + b where b is an arbitrary constant compute the DTFT V(Ω) of v[n] = x[n - 5].
e-j5Ω/ejΩ - b
e-j5Ω/ejΩ + 5b
e-j5Ω/ejΩ + b
e-j5Ω/ej5Ω + b