What information is contained in the lookup table of a direct digital synthesizer (DDS)?

In a Direct Digital Synthesizer (DDS), the phase accumulator generates a continuously updating digital number representing the current phase of the signal. The lookup table, which is usually stored in Read-Only Memory (ROM), uses this phase number as an address and outputs the corresponding amplitude value of the waveform at that specific phase point. By rapidly looking up these amplitude values in sequence, the DDS constructs a digital staircase version of the desired analog waveform, which is then sent to a digital-to-analog converter. Distractors suggesting the table holds phase relationships or saved radio memory frequencies misunderstand the fundamental, low-level mechanism of waveform generation in a DDS circuit.