In MATLAB

%Plot x₁(t) = cos 2π4t as t goes from 0 to 0.5 sec (2 cycles) in steps of T = 1/160 sec. t = 0: 1/160: 0.5; x₁= cos (2*pi*4*t); plot(t, x₁)

%Repeat with step size of 1/16 sec.

t = 0: 1/16: 0.5; x₁ = cos (2*pi*4*t); plot(t, x₁)

%Produce samples of x₁(t) as t goes from 0 to 0.5 in steps of 1/16 sec. t = 0: 1/16: 0.5; x₁ = cos (2*pi*4*t)

%Produce samples of x₁(n) = cos nπ/2 as n goes from 0 to 8 (2 cycles) in steps of 1 %(T = 1/16 sec.)

n = 0: 1: 8; x1 = cos (n*pi/2)

%Plot x₁(n) = cos nπ/20 as n goes from 0 to 80 (2 cycles) in steps of 1 (T = 1/160 sec.)

n = 0: 1: 80; x₁= cos (n*pi/20); plot(n, x₁, 'bo'); grid            %Blue circles and grid

%Stem plot x₁(n) = cos nπ/2 as n goes from 0 to 8 (2 cycles) in steps of 1 (T = 1/16 sec.)

n = 0: 1: 8; x₁= cos (n*pi/2); stem(n, x₁)

%Stem plot x₁(n) = cos nπ/20 as n goes from 0 to 80 (2 cycles) in steps of 1 %(T = 1/160 sec.)

n = 0: 1: 80; x₁ = cos (n*pi/20); stem(n,x₁)

%Titles, labels and grid. Stem plot x₁(n) = cos nπ/20 as n goes from 0 to 80 (2 cycles)

%MATLAB won?t accept the kind of single quote in title „Sampled Cosine? n = 0: 1: 80; x1 = cos (n*pi/20);

stem(n, x₁); title(„Sampled Cosine?); xlabel(„n?), ylabel(„x₁?); grid

%Plot x₁(t) = cos 2π4t as t goes from 0 to 0.5 sec (2 cycles) in steps of T = 1/160 sec. t = 0: 1/160: 0.5; x₁ = cos (2*pi*4*t); plot(t, x₁)

x₁ = cos (2*pi*4*t) - 4Hz Cosine plotted at T = 1/160 sec.

%Plot x1(n) = cos nπ/20 as n goes from 0 to 80 (2 cycles) in steps of 1 (T = 1/160 sec.)

n = 0: 1: 80; x1 = cos (n*pi/20); plot(n, x1, 'bo'); grid            %Blue circles and grid

x1 = cos (n*pi/20) - 4 Hz Cosine sampled at 160 samples per second

%Stem plot x1(n) = cos nπ/20 as n goes from 0 to 80 (2 cycles) in steps of 1

%(T = 1/160 sec.)

n = 0: 1: 80; x1 = cos (n*pi/20); stem(n, x1)

Stem plot of x1 = cos (n*pi/20) - 4 Hz Cosine is sampled at 160 samples per second

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