MATLAB script to check how image frequencies are generated.

image_generator.m

%% Image frequencies

clear all
close all
clc

nSamples = 10;
f0 = 1;

% Angle generate
angle = linspace(0,2*pi,nSamples);

% Compute image signals. Negative k valules generates 180 degrees images.
k = 1;
images = (f0+k*(nSamples-1)) % nSamples-1 because last point are repeated

% high resolution angle generate for plot.
angle_hires = linspace(0,2*pi,1000);

% low frequency signal generate
signal = sin(f0*angle);
signal_hires = sin(angle_hires);

% high frequency signal generate
signal2 = sin(angle*images);
signal2_hires = sin(angle_hires*images);

% signal plotting
figure
plot(angle,signal, 'o');
hold on
plot(angle_hires,signal_hires);
plot(angle,signal2, 'o');
plot(angle_hires,signal2_hires);