The most commonly known noise is the short and high-pitched birdlike “yelp”. Often you can hear them when a mother looks for her cubs in the high grass or when looking for a mate.
The “yelps” made by a cheetah cub sound more like a bird chirping, and so are termed chirping, too.
Churring & Stuttering
This vocalization is emitted by a cheetah during social meetings. A churr can be seen as a social invitation to other cheetahs, an expression of interest, uncertainty, or appeasement or during meetings with the opposite gender (although each sex churrs for different reasons).
Growling, Moaning & Hissing
These agonistic sounds you can hear when the cheetah is threatened or attacked. This vocalization is often accompanied by spitting and a forceful “paw hit” on the ground. It is exhibited by the cheetah during annoyance, or when faced with danger.
It is possible that a more confident animal produces growling, while a less confident, miaowing.(Source)
Click here to listen to these particular sounds.
This is an escalated version of growling, usually displayed when danger worsens.
This is made when the cheetah is content, usually during pleasant social meetings (mostly between cubs and their mothers). A cheetah can purr like a domestic cat but much loader!
Click here to hear a cheetah purr.
Gurgling accompanies friendly meetings in familiar environment between well-acquainted cheetahs of the same or different gender. This sound type with rhythmic pulsation is also related to emotional state of confidence. (Source)