You have to be kidding me.
This is funny. WOW


I have been fixing that for a year.
Believe it or not your car is Farting

Your car has a Vent valve. This vents the gas tank. If you have pressure in the tank it will exhaust it. The noise is the Solenoid part of the valve.
This is just listed under an 06, but come on if it fits the Description get it replaced.
TSB #06-06-04-062 - (11/27/2006)
Models: 2006 Cadillac DTS
Subject: Knocking Noise That Repeats Three Times on Cold Start (Install New EVAP Canister Vent Solenoid Valve) Important: The noise emitted from the evaporative emissions vent solenoid is not indicative of any condition with the solenoid or the customer's vehicle. Please inform your customer that the sound heard is the result of the valve cycling during a required emissions test. If the knowledge that the vehicle is operating properly relieves the customer concern, DO NOT replace the EVAP solenoid. If the customer expresses that the noise is offensive, replace the EVAP solenoid with a newly available and quieter operating solenoid using the procedure in this bulletin. Condition
Some customers may comment on a knocking noise heard from the rear area of the vehicle. The knocking noise occurs three times after a cold start up and usually while driving the vehicle under 16 km/h (10 mph).
Cause
The EVAP emission system performs a series of tests upon cold start up to ensure that the EVAP system is operating normally. The EVAP canister vent solenoid valve will purge and cycle the solenoid causing a noise that might be heard inside the vehicle and perceived as a knocking noise.