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Instead on making the car horn beep when you lock the car, jolting everyone in the vicinity, how about making the car ping back to the pendant that the car has been locked, and then the pendant beeping at close range to the human?
So everybody in the whole world isn't being poked by horn blasts all the time.
And oh, by the way, if the alarm trips, it should make the same alarm noise in the pendant, so you know that your car has been violated while you are in the office building or factory or mall.
And oh by the way, this function should be in your phone if you carry one, anyway. Who needs a pendant anymore?