Multiple-Symbol Detection Scheme for IEEE 802.15.4c MPSK Receivers over Slow Rayleigh Fading Channels

Algorithm 1

The proposed detection algorithm.

	Input:
	: baseband samples of the th bit
: PPDU payload length
: sample num ber of the th symbol in the preamble
: length of the PN sequence
: the maximum chip delay number
: observation window length
	: preamble length
	In order to simplify the detection process, is set 4 in this algorithm.
	Output:
	and : detect the spread spectrum sequence of the actual data.
(1)	initial
(2)	to eliminate the influence of
(3)	for for
(4)	for for
(5)
(6)	end for
(7)	end for
(8)	for do
(9)	for do
(10)	for do
(11)
(12)	end for
(13)	end for
(14)
(15)
(16)	end for
(17)	The quantization function of frequency offset estimator , where
(18)	for
(19)	for
(20)	for
(21)
(22)
(23)	end for
(24)
(25)	end for
(26)	end for
(27)	for
(28)	for
(29)	for
(30)	for
(31)
(32)
(33)	end for
(34)	end for
(35)	end for
(36)	end for
(37)	find and if is maximum, let the judgment result of the th symbol be
(38)	find for if is maximum
(39)	return and