FALCON 900 FLT CREW HAS A TRACK AND HDG DEV DURING THE DEP FROM SMO.

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THE FOLLOWING DESCRIBES A MIS-EXECUTED UNPUBLISHED DEP PROC AT SMO. ALTHOUGH SEPARATION WAS NOT LOST WITH ANOTHER ACFT; I FEEL THIS MISTAKE WOULD NOT HAVE OCCURRED HAD SMO HAD A PUBLISHED SID. UPON RECEIVING OUR IFR CLRNC FROM SMO TO SFO FOR A REPOSITIONING FLT; I HAD GREAT DIFFICULTY UNDERSTANDING THE GND CTLR. HE HAD TO REPEAT VARIOUS PARTS OF THE CLRNC AT LEAST 3 TIMES BEFORE I COULD READ IT BACK CORRECTLY. (I HAVE NEVER HAD THIS MUCH DIFFICULTY BEFORE WHEN RECEIVING A CLRNC.) EVEN AFTER THE THIRD TRY; ANOTHER CTLR HAD TO STEP IN AND CLARIFY THAT 'VICTOR VOR (MY READBACK)' WAS; IN FACT; 'BIG SUR.' ADMITTEDLY; I AM NOT VERY FAMILIAR WITH THE AIRSPACE ON THE WEST COAST; BUT WAS GOING TO CONFIRM OUR ROUTING WITH THE APPROPRIATE CHARTS BEFORE TAXIING. OUR CLRNC WAS TO FLY RWY HDG TO THE LAX 310 DEG RADIAL; THEN MAKE A 'SHARP' OR 'QUICK' R TURN TO A 265 DEG HDG FOR RADAR VECTORS TO VENTURA. THE REST OF THE CLRNC FOLLOWED. I BRIEFED THE CAPT; WHO DID NOT HEAR THE ORIGINAL CLRNC. I EXPLAINED THE DIFFICULTY I HAD EXPERIENCED; AND WE AGREED THAT SINCE THE LAX RADIAL WOULD BE CROSSED SOON AFTER TKOF; WE WOULD QUICKLY TURN TO A 265 DEG HDG AND INTERCEPT THE RADIAL. THIS WAS CLRLY NOT CORRECT. I THOUGHT THAT MAYBE I SHOULD RECONFIRM OUR CLRNC DURING OUR TAXI; BUT BEFORE I COULD; THE GND CTLR ASKED US TO 'SPD UP' OUR TAXI; AND 'CONTACT TWR' BECAUSE 'THEY ARE WAITING FOR YOU.' THIS WAS A BIT STRANGE. WE MONITORED THE TWR WHILE TAXIING (WE STILL HAD A COUPLE THOUSAND FEET TO TAXI) AND COMPLETED OUR TAXI CHKLIST. TWR IMMEDIATELY CALLED AND CLRED US FOR TKOF; AGAIN REPEATING THAT 'THEY ARE WAITING FOR YOU.' ('THEY' PRESUMABLY WAS SOCAL DEP.) SINCE WE HAD COMPLETED OUR TAXI CHKLIST; WE ACCEPTED THE TKOF CLRNC AND EXECUTED THE DEP AS WE HAD (INCORRECTLY) UNDERSTOOD IT. THE HDOF TO DEP TOOK QUITE A WHILE; AND WHEN I ASKED THE TWR IF THEY WANTED US TO SWITCH; THEY TOLD ME TO CONTACT DEP. WHEN I CONTACTED DEP; THE CTLR INFORMED US THAT WE HAD 'MISUNDERSTOOD' THE DEP PROC (HIS WORDS); BUT THAT NO TFC SEPARATION WAS LOST. I BELIEVE THAT SMO SHOULD HAVE A PUBLISHED DEP PROC. IF THERE HAD BEEN ONE; WE WOULD NOT HAVE MADE THIS MISTAKE. IN ADDITION; I COULD HAVE STUDIED THE CHARTS AND POSSIBLE ROUTINGS BEFORE CALLING FOR CLRNC. I COULD HAVE ALSO ASKED THE CTLR TO SLOW HIS SPEECH TO MAKE THE CLRNC EASIER TO UNDERSTAND. FINALLY; WE SHOULD NOT HAVE ALLOWED THE CTLRS TO RUSH US. I FELT RUSHED BUT DID NOT SPEAK UP. ALL THESE ACTIONS CONTRIBUTED TO WHAT MAY HAVE BEEN A COMPLETELY DIFFERENT OUTCOME.