Here are some possible antonyms depending on the context:
If "sigh" represents sadness or disappointment:
* Laugh
* Smile
* Cheer
* Rejoice
If "sigh" represents weariness or boredom:
* Energize
* Excite
* Enthusiasm
* Rejuvenate
If "sigh" represents relief:
* Worry
* Dread
* Fear
* Anxiety
Ultimately, the best antonym for "sigh" depends on the specific context of how it is being used.