AN ACR TAKES A CLRNC FOR A HDG CHANGE MEANT FOR ANOTHER ACFT.

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DEPARTED DFW FROM RWY 17R BEHIND ANOTHER ACFT (MAYBE MD80 OR F100) WITH USUAL 'NORMAL' SEPARATION. I WAS HAND FLYING THE ACFT. DURING CLBOUT ON A 174 DEG HDG (THE DALLAS 6 DEP; I BELIEVE); WE ENCOUNTERED WAKE TURB FROM THE PRECEDING ACFT. THE ROLL UPSET WAS ONLY LIGHT OR SO; BUT ENOUGH THAT IT HAD MY FULL ATTN TRYING TO ESCAPE AND AVOID IT. IT ONLY LASTED SEVERAL SECONDS; BUT THEN WE ENCOUNTERED SOME MORE. DURING THE ENCOUNTERS; ATC ISSUED A L TURN TO 055 DEG HDG. MY FO READ BACK THE CLRNC. THERE WAS NO REPLY OR CORRECTION FROM ATC; NOR DID I HEAR ANOTHER ACFT REPLY. SINCE MY FULL ATTN WAS ON FLYING THE ACFT OUT OF THE WAKE TURB; I HAD TO ASK HIM 'WHAT WAS THE ASSIGNED HDG?' HE REPLIED '055 DEGS;' WHICH RANG A BELL FROM WHAT I HEARD IN HIS READBACK TO ATC. AS WE PASSED THROUGH A 090 DEG HDG; ATC SAID 'ACR X; IT APPEARS YOU TOOK A TURN FOR ANOTHER ACFT. GO BACK TO YOUR TWR ASSIGNED HDG.' I IMMEDIATELY ROLLED THE ACFT BACK TO THE R. FO SAID HE HEARD OUR CALL SIGN (ACR X) WITH THE TURN INSTRUCTIONS. I ONLY RECALLED HIS READBACK TO THE CLRNC. (I HAVE BEEN FLYING WITH FO THE ENTIRE MONTH. HE HAS DISPLAYED EXCELLENT AND COMPETENT RADIO COM SKILLS. SINCE I DID NOT HEAR THE WHOLE ATC CLRNC; I ASKED HIM WHAT IT WAS. THERE WAS NO REASON TO DOUBT WHAT HE HEARD; AND REPLIED TO.) WE DID NOT ARGUE WITH THE CTLR. PRIOR TO REACHING THE 174 DEG HDG; ATC TURNED US TO MAYBE 080 DEGS (I DON'T REMEMBER) AND HANDED US OFF. DURING THE TURNS THERE WAS NO KNOWN TFC CONFLICTS THAT WE COULD SEE. (TCASII DID NOT SHOW ANY ACFT CLOSE BY.) AS FAR AS WE KNOW; NO OTHER ACFT WERE TURNED BECAUSE OF US. MAYBE I WANTED TO BELIEVE THE TURN WAS FOR US. WE WERE ENCOUNTERING TURB. IT WAS THE DIRECTION OF OUR DEST. LIGHT TFC. TRUST IN AN EXCELLENT FO. MAYBE THE CTLR DID SAY OUR CALL SIGN. I'VE HEARD THEM USE WRONG CALL SIGNS TOO; BUT I DON'T RECALL THE INITIAL CLRNC.