A New Multiple-Symbol Differential Detection Strategy for Error-Floor Elimination of IEEE 802.15.4 BPSK Receivers Impaired by Carrier Frequency Offset

Algorithm 2

Framework of the conventional MSDD algorithm.

	Input: : complex baseband chip sample sequence;
	: sample number for each bit of the actual data;
	: observation length of the preamble in bit intervals;
	: number of the autocorrelation sample for m-th bit of the preamble;
	: length of the PN sequence;
	: bit number in preamble field;
	: payload length of the PPDU;
	: block length.
	Output: : detection of the actual information phase sequence.
(1)	initial , , and
(2)	for ; ; do
(3)	for ; ; do
(4)
(5)	end for
(6)	end for
(7)	compute the estimation function for , where ;
(8)	for ; ; do
(9)	for ; ; do
(10)
(11)	end for
(12)	end for
(13)	for ; ; do
(14)	for ; ; do
(15)	for ; ; do
(16)
(17)	end for
(18)	end for
(19)	end for
(20)	compute the metric for each hypothetical phase sequence;
(21)	find a phase sequence that maximizes the metric ;
(22)	return