Multi symbol bit detection for SDPSK signals
View Patent ↗This invention discloses a method of accurately detecting the current bit in a SDPSK modulated signal at the receiver. The proposed method calculates the current bit from the past-detected bits and the past symbols. Each past symbol estimates the current bit. Each of these estimates is summed up to provide the final estimate of the bit. The proposed method for the reception of SDPSK modulated data improves the bit error rate performance. The proposed method can be applied in any communication system that uses SDPSK modulation.
1. A method of detecting the current bit in a symmetrical differential phase shift keying modulated signal, comprising the steps of:
calculating said current bit symbol S n using the recursive expression
S n =S n−r *e (j*Π*bn/2) *e ((j*Π*bn−1)/2) . . . e (j*Π*bn−(r−1)/2)
e (j*Π*bn/2) =S n *conj( S n−r )*e (j*Π*bn−1/2) *e (j*Π*bn−2/2) * . . . *e (j*Π*bn−(r−1)/2)
wherein r is the number of past bits used for the detection of the current bit, S n−r is the r th past symbol, b n is the current bit and S n is the current symbol and n is the sequence index, j is the square root of −1;
calculating the summation of all the r estimated bits using the equation
b n — estimated =[S n *conj( S n−1 )+ S n *conj( S n−2) *e (j*Π*bn−1/2) +S n *conj( S n−3 )*e (j*Π*bn−1/2) *e (j*Π*bn−2/2) + . . . +S n *conj( S n−r )*e (j*Π*bn−1/2) *e (j*Π*bn−2/2) * . . . *e (j*Π*bn−3/2) ]
wherein b n — estimated is the current estimated bit; and
determining said current bit using the formula
bit=sign(imag( b n — estimated)).