Prior to the Musaph service on the High Holidays, the cantor recites a prayer called Hineni, named after the first word of the prayer meaning "Behold, I am...". The prayer's contents is mainly the cantor's plea that G-d grant him the strength to serve as the congregation's prayer representative and listen to his and the congregation's prayers and requests.
I have notice that in several shuls, the cantor begins the prayer at the back of the shul and slowly walks towards the bimah by the time the prayer is completed.
What is the origin of this custom and why is this done?