Question

Assume m1(t) = 20sinc(20t) and m2(t) = 10sinc^2(10t). The Fourier Transform of asinc^2(at) is given by ?(f/a) = { 1/a f + 1, -a < f ? 0; -1/a f + 1, 0 < f < a; 0, Otherwise. Find the following 1. (2 Mark). Find the Fourier transform of m(t) = m1(t) + m2(t). Plot the spectrum of m(t). 2. (2 Marks). Find the bandwidth of m(t) = m1(t) + m2(t) and its energy. Also find the energy of m1(t) and m2(t). 3. (3 Marks). Write down the expression of the DSB-SC, s_DSB-SC(t), assume that the message is m(t) = m1(t) + m2(t). Find S_DSB-SC(f) and plot it. Find the energy of s_DSB-SC(t). Assume the carrier signal is c(t) = 50 cos(2??100t). 4. (2 Marks). Assume m(t) = m1(t) + m2(t) is passed through a filter that has the transfer function as H(f) = { -j, f > 0; j, f < 0. Draw the spectrum of the output signal. 5. (3 Marks). Write down the expression of the conventional AM signal, s_AM(t), assume the modulation index is 0.5. Assume the carrier signal is c(t) = 50 cos(2??100t). Also find the following: (a) Find the power of s_AM(t). (b) Plot the spectrum of s_AM(t).

          Assume m1(t) = 20sinc(20t) and m2(t) = 10sinc^2(10t). The Fourier Transform of asinc^2(at) is given by ?(f/a) = { 1/a f + 1, -a < f ? 0; -1/a f + 1, 0 < f < a; 0, Otherwise. 
Find the following
1. (2 Mark). Find the Fourier transform of m(t) = m1(t) + m2(t). Plot the spectrum of m(t).
2. (2 Marks). Find the bandwidth of m(t) = m1(t) + m2(t) and its energy. Also find the energy of m1(t) and m2(t).
3. (3 Marks). Write down the expression of the DSB-SC, s_DSB-SC(t), assume that the message is m(t) = m1(t) + m2(t). Find S_DSB-SC(f) and plot it. Find the energy of s_DSB-SC(t). Assume the carrier signal is c(t) = 50 cos(2??100t).
4. (2 Marks). Assume m(t) = m1(t) + m2(t) is passed through a filter that has the transfer function as H(f) = { -j, f > 0; j, f < 0. Draw the spectrum of the output signal.
5. (3 Marks). Write down the expression of the conventional AM signal, s_AM(t), assume the modulation index is 0.5. Assume the carrier signal is c(t) = 50 cos(2??100t). Also find the following:
(a) Find the power of s_AM(t).
(b) Plot the spectrum of s_AM(t).

Assume m1(t) = 20sinc(20t) and m2(t) = 10sinc^2(10t). The Fourier Transform of asinc^2(at) is given by ?(f/a) = 1/a f + 1, -a < f ? 0; -1/a f + 1, 0 < f < a; 0, Otherwise.
Find the following
1. (2 Mark). Find the Fourier transform of m(t) = m1(t) + m2(t). Plot the spectrum of m(t).
2. (2 Marks). Find the bandwidth of m(t) = m1(t) + m2(t) and its energy. Also find the energy of m1(t) and m2(t).
3. (3 Marks). Write down the expression of the DSB-SC, sDSB-SC(t), assume that the message is m(t) = m1(t) + m2(t). Find SDSB-SC(f) and plot it. Find the energy of sDSB-SC(t). Assume the carrier signal is c(t) = 50 cos(2??100t).
4. (2 Marks). Assume m(t) = m1(t) + m2(t) is passed through a filter that has the transfer function as H(f) = -j, f > 0; j, f < 0. Draw the spectrum of the output signal.
5. (3 Marks). Write down the expression of the conventional AM signal, sAM(t), assume the modulation index is 0.5. Assume the carrier signal is c(t) = 50 cos(2??100t). Also find the following:
(a) Find the power of sAM(t).
(b) Plot the spectrum of sAM(t).

Added by Stephen M.

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