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(c) The trellis representation of the FM0 data encoding scheme.

Obviously, all the above conditions are satisfactory to the signal sequences generated by the FM0 data encoding scheme as Figure 2(a) illustrates.

Although the fading effect of the wireless channel may reverse the phase of the transmit signal, the FM0 data encoding scheme, which uses two opposite waveforms to represent a single data symbol, makes itself resistant to the phase reversal.

The proposed algorithm fully exploits the structure of the baseband signal of the EPC-Global Gen-2 standard to develop a trellis representation of the FM0 data encoding scheme which makes the realization of the Viterbi algorithm on the FM0 scheme feasible.

Since the proposed JVSS algorithm is essentially applicable to any data encoding scheme directed by a transition diagram, the Miller-modulated subcarrier can thus be decoded via the JVSS algorithm by simply replacing the basis functions in the CBM calculations with the corresponding square-wave-modulated ones.

Figure 2 (a) The basis functions and the state diagram of the FM0 baseband data-encoding scheme.

Figure 2(a) depicts the basis functions and the state diagram representing the rule of the FM0 baseband data-encoding scheme.

The backscatter mode of the EPCglobal system supports two types of the baseband data-encoding schemes: The FM0 baseband scheme and the Miller modulation.

Since the proposed JVSS algorithm is applicable to both baseband data-encoding schemes, this study uses the FM0 baseband scheme as the study case to describe the proposed JVSS algorithm.

Remark 4. As an alternative to the data-encoding scheme for the backscatter signals in the EPC-global standard, Miller-modulated subcarrier (or Miller encoding) uses the same basis functions, but with inverted logical meaning, as those of the FM0 scheme.

ASL data were acquired with a FAIR-QUIPSSII PASL encoding scheme with echo-planar imaging (EPI) readout.