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DTU Satellite Systems and Design Course CubeSat Communication

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Danish Space Research Institute<br />

Danish Small <strong>Satellite</strong> Programme<br />

Digital <strong>Communication</strong> - 1<br />

Modulation<br />

A radio signal, a modulated carrier is a sinusoidal alternating voltage, normally<br />

expressed using cosine:<br />

S(t) = A⋅cos(ω⋅ ω⋅ ω⋅t ω⋅ + ϕ) = A⋅cos(2⋅π⋅ ⋅π⋅ ⋅π⋅f⋅t ⋅π⋅ + ϕ)<br />

where t er time, A signal amplitude, ω (omega) the angular frequency of the carrier<br />

ω = 2⋅π⋅ ⋅π⋅ ⋅π⋅f, ⋅π⋅ where f is the carrier frequency<br />

ϕ (phi) is the phase 0° ≤ϕ < 360° or 0 ≤ ϕ < 2π radian.<br />

The process of transferring information to a carrier is denoted modulation <strong>and</strong> involves<br />

varying one of the three parameters<br />

A amplitude modulation - AM<br />

ω frequency modulation - FM<br />

ϕ phase modulation - PM.<br />

The most common format for space communications is phase modulation – PM.<br />

FH 2001-08-27 Cubesat_<strong>Communication</strong>.ppt<br />

Slide # 17

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