What type of frequency synthesizer circuit uses a phase accumulator, lookup table, digital-to-analog converter, and a low-pass anti-alias filter?
Why A direct digital synthesizer builds the waveform numerically: a phase accumulator adds a tuning word to a running phase value on each clock tick, the accumulated phase indexes a sine lookup table, a DAC turns those samples into an analog staircase, and a low-pass anti-alias filter smooths it into a clean sine wave. Output frequency is set by the tuning word and the reference clock, so frequency changes are instant and extremely fine in resolution. The blocks named in the question are exactly the DDS signal chain.
Watch out A phase-locked loop synthesizer is the other common approach, but it works with a VCO, phase detector, loop filter and programmable divider, not a lookup table and DAC. Direct conversion is a receiver architecture, not a synthesizer type.
Phase accumulator plus lookup table plus DAC equals DDS: digital numbers in, sine wave out.