It is my understanding that the usage of the word denomination is basically defined as:
a value or size of a series of values or sizes (as of money) or a name, designation; especially: a general name for a category So with this in mind the phrase of :
Quote:
Participants can register a dollar bill, of any denomination, and monitor its geographic circulation.
Is correct for it is specifically stating that the amount, or denomination, can be anything with in a dollar format, as opposed to say coin, check or cash format.
Just my opinion