PLT OF SMA ACFT INADVERTENTLY PENETRATED AN ARSA DUE MISCOMS WITH ATC.

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ON A VFR FLT FROM ANP TO DLC; I WAS CRUISING AT 4500 MSL WITH THE INTENTION OF XING POB AND FAY ARSA ABOVE. I WAS SQUAWKING 1200 WITH MODE C OPERATING. AT 20 NM MORE OR LESS N OF POB; I ENCOUNTERED A CLOUD LAYER WITH A BASE OF 3700 MSL. IN ORDER TO REMAIN VFR I DSNDED TO 3500 MSL. I SOON REALIZED THAT I WAS IN OR NEAR THE FBY-POB ARSA. I CALLED FBY TWR; GAVE MY APPROX POS AND TAIL NUMBER AND REQUESTED THE FREQ OF THE ATC. THE TWR GAVE ME THE ATC FREQ AND CONFIRMED AN ERRONEOUS CALL SIGN. I CALLED ATC; GIVING MY TAIL NUMBER. HE CONFIRMED USING THE SAME INCORRECT CALL SIGN. THE CTLR CONFIRMED MY ALT; THEN 3200 MSL AND GAVE ME A SQUAWK CODE. I CONTINUED TO RESPOND TO INCORRECT CALL SIGN BECAUSE I DID NOT WISH TO FURTHER BOTHER THE HARRIED CTLR. I FOLLOWED THE CTLR'S DIRECTIONS THROUGH THE ARSA WITHOUT FURTHER INCIDENT. THE FLT CONTINUED TO DLC. I WAS ASKED TO CALL THE TWR UPON LNDG. THIS I DID. A SUPVR AND I DISCUSSED THE EVENT AT LENGTH AND I RELAYED THE EVENTS AS DESCRIBED ABOVE. THE CTLR ASKED MY NAME AND ADDRESS WHICH I DECLINED TO GIVE. THE SUPVR TOLD ME THAT A FLT FROM POB HAD BEEN DIVERTED BECAUSE OF MY PRESENCE. THEY HAD SEEN MY TRANSPONDER SIGNAL AND THE FLT HAD COLLISION AVOIDANCE EQUIP ON BOARD.