g1(t) = cos(40*pi*t); g2(t) =
cos(60*pi*t); g3(t) = cos(160*pi*t); a. Using a sampling period of
1.0 ms to simulate the continuous-time signal, in Matlab generate
and plot the analog signal described in Problem 2 Part (a) over the
interval 0 ? t ? 300ms, and overlay the plotted signal with the
equivalents of its sampled versions. Denote the latter with
different symbols (e.g., open circles, diamonds, etc). b. Repeat
for g2 (t) and g3 (t) described in Problem 2 on separate graphs,
and overlay each with their respective sampled counterparts. c. On
the same graph, plot g1 (t) , g2 (t) and g3 (t) , and overlay them
with discrete versions sampled at sampling frequencies that make
the discrete signals identical.

g1(t) = cos(40*pi*t); g2(t) = cos(60*pi*t); g3(t) = cos(160*pi*t); a. Using a sampling period of 1.0...
need problem 6.13 done.
12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
Problem 3: Sampling a Cosine (again) The continuous-time signal ra(t) = cos (150) is sampled with sampling period T, to obtain a discrete-time signal x[n] = XanT). 1. Compute and sketch the magnitude of the continuous-time Fourier transform of ra(t) and the discrete-time Fourier Transform of x[n] for T, = 1 ms and T, = 2 ms. 2. What is the maximum sampling period Ts max such that no aliasing occurs in the sampling process?