Question

Question 1: Compute the Fourier Series coefficients ($a_{-2}$ to $a_2$) of the continuous time signal x(t) with one period given by the following expression. Also plot the magnitude and phase spectrums of (3+1+1) the signal x(t). (CLO 3) $$x(t) = \begin{cases} -1 & -1 \le t \le 0 \\ 1 & 0 \le t \le 1 \end{cases}$$ 2) Find the Fourier transform of the discrete time aperiodic signal given in Figure 1, and plot its magnitude and phase spectrum. (CLO 3) (3+2) 3) Use the properties of the discrete time Fourier transform to find the Fourier transform of the following signal. State clearly the property used at each step. (CLO 3) (1+1) a) x[n] = u[n-2] - u[n-6] b) x[n] = n(\frac{n}{2})^2 u[n-2]

          Question 1:
Compute the Fourier Series coefficients ($a_{-2}$ to $a_2$) of the continuous time signal x(t) with one
period given by the following expression. Also plot the magnitude and phase spectrums of
(3+1+1)
the signal x(t).
(CLO 3)
$$x(t) = \begin{cases} -1 & -1 \le t \le 0 \\ 1 & 0 \le t \le 1 \end{cases}$$
2) Find the Fourier transform of the discrete time aperiodic signal given in Figure 1, and plot
its magnitude and phase spectrum.
(CLO 3)
(3+2)
3) Use the properties of the discrete time Fourier transform to find the Fourier transform of the
following signal. State clearly the property used at each step. (CLO 3)
(1+1)
a) x[n] = u[n-2] - u[n-6]
b) x[n] = n(\frac{n}{2})^2 u[n-2]

Question 1:
Compute the Fourier Series coefficients (a-2 to a2) of the continuous time signal x(t) with one
period given by the following expression. Also plot the magnitude and phase spectrums of
(3+1+1)
the signal x(t).
(CLO 3)

x(t) = -1 -1 ≤ t ≤ 0
1 0 ≤ t ≤ 1

2) Find the Fourier transform of the discrete time aperiodic signal given in Figure 1, and plot
its magnitude and phase spectrum.
(CLO 3)
(3+2)
3) Use the properties of the discrete time Fourier transform to find the Fourier transform of the
following signal. State clearly the property used at each step. (CLO 3)
(1+1)
a) x[n] = u[n-2] - u[n-6]
b) x[n] = n((n)/(2))^2 u[n-2]

Added by Renee S.

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