HDG TRACK POS DEV. NON ADHERENCE TO ATC CLRNC INSTRUCTION BY PVT PLT. CLRNC INTERP.

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CONTACTED TWR ADVISING READY TO DEPART ON ACTIVE RWY 32. THERE WAS A GREAT DEAL OF STATIC NOISE OVER THE RADIO AND NO RESPONSE. I REPEATED UNTIL I RECEIVED A REPLY ON ABOUT THE THIRD ATTEMPT. I MADE MENTION OF THEIR POOR RECEPTION. WAS GIVEN CLRNC TO TKOF AND MADE WHAT I HEARD THEM SAY AS A R TURN. AGAIN RADIO NOISE MAY HAVE MADE THE COM UNCLR. I DEPARTED AND TURNED R. AFTER DOING SO THEY ADVISED THAT THEY HAD WANTED ME TO TURN L. THEY TOLD ME TO PROCEED AND CONTACT DEP FREQ. CONTACTED DEP. THEY REITERATED THAT TWR WANTED ME TO TURN L NOT R. I AGAIN EXPLAINED WHAT I HAD HEARD AND NOT HEARD DUE TO RADIO NOISE. I ALSO MENTIONED THAT I HAD DIFFICULTY IN RAISING THEM AS WELL. AN APOLOGY WAS MADE FOR THE CONFUSION. BY 5 MI OUT; NOISE ON THESE FREQS HAD DISAPPEARED. NORMAL FLT RESUMED TO GRAND RAPIDS AND ON. STRIVE TO MAKE SURE THAT BOTH PARTIES HEAR AND UNDERSTAND RADIO XMISSIONS. IF AN ACFT IS PROCEEDING ON THE WRONG COURSE; HE SHOULD BE ADVISED SO CORRECTIONS CAN BE MADE; NOT AFTER 5 MI HAS PROGRESSED.