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AD9833BRMZ-REEL7 Datasheet(PDF) 11 Page - Analog Devices |
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AD9833BRMZ-REEL7 Datasheet(HTML) 11 Page - Analog Devices |
11 / 24 page Data Sheet AD9833 Rev. E | Page 11 of 24 THEORY OF OPERATION Sine waves are typically thought of in terms of their magnitude form: a(t) = sin(ωt). However, these sine waves are nonlinear and not easy to generate except through piecewise construction. On the other hand, the angular information is linear in nature. That is, the phase angle rotates through a fixed angle for each unit of time. The angular rate depends on the frequency of the signal by the traditional rate of ω = 2πf. MAGNITUDE PHASE +1 0 –1 2p 0 2π 4π 6π 2π 4π 6π Figure 23. Sine Wave Knowing that the phase of a sine wave is linear and given a reference interval (clock period), the phase rotation for that period can be determined. ΔPhase = ωΔt Solving for ω, ω = ΔPhase/Δt = 2πf Solving for f and substituting the reference clock frequency for the reference period (1/fMCLK = Δt) f = ΔPhase × fMCLK∕2π The AD9833 builds the output based on this simple equation. A simple DDS chip can implement this equation with three major subcircuits: numerically controlled oscillator (NCO) and phase modulator, SIN ROM, and digital-to-analog converter (DAC). Each subcircuit is described in the Circuit Description section. |
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