Cain Acknowledges Damage to Campaign From Harassment Allegations

Oct. 14, 2011: Herman Cain addresses a crowd in Bartlett, Tenn. (AP)

Republican presidential hopeful Herman Cain acknowledges slipping from the top tier of candidates while addressing accusations of sexual harassment and confusion about his policy stands.

"Obviously false accusations and confusion about some of my positions has contributed" to the downturn in the polls, he said.

The Georgia businessman insists his campaign is sound and supporters remain onboard what he calls the "Cain train."

Cain has denied the accusations and says "nothing has gone wrong" in terms of the campaign's mechanics. But he tells CNN's "State of the Union" that some people "are heavily influenced by perception more so than reality."

Cain also says he supports "targeted identification" in weeding out potential terrorists. He doesn't see that as racial profiling and says "if you take a look at the people who have tried to kill us, it would be easy to figure out exactly what that identification profile looks like."