1972
DOI: 10.1007/978-3-642-61974-8
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Transmission of Information by Orthogonal Functions

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Cited by 212 publications
(36 citation statements)
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“…2(b), training symbols are transmitted simultaneously in both MC and SCs. From the point of view of the MC, the MBS transmits to the MUEs a unit norm Walsh-Hadamard (W-H) sequence [16] x m of length τ 2 at each subcarrier. Note that, τ 2 size depends on the number of both subcarriers and performed channel estimations.…”
Section: B DL Channel Estimation (τ 2 )mentioning
confidence: 99%
“…2(b), training symbols are transmitted simultaneously in both MC and SCs. From the point of view of the MC, the MBS transmits to the MUEs a unit norm Walsh-Hadamard (W-H) sequence [16] x m of length τ 2 at each subcarrier. Note that, τ 2 size depends on the number of both subcarriers and performed channel estimations.…”
Section: B DL Channel Estimation (τ 2 )mentioning
confidence: 99%
“…The volume and of the resulting region can be computed for as (37) and (38) Substituting these expressions into (30) yields the shaping gain for these peak-constrained regions. Note also that peak optical power in the case of these regions is and gives a PAR of PAR which is independent of the symbol interval.…”
Section: K Shaping Gain: Peak-symmetric Schemesmentioning
confidence: 99%
“…Adaptively biased QAM (AB-QAM) [11], [37] is a 3-D modulation scheme which is defined using the basis functions More generally, these functions are Walsh functions. This characterization is especially useful in light of the signal space definition in Section III-A, since the basis functions of AB-QAM are scaled and shifted versions of the first three Walsh functions [38].…”
Section: A Definition Of Example Schemesmentioning
confidence: 99%
“…Unfortunately, up to now, thxe is still no unified proof of the invariance for all of the o r lerings. The only proof available is of show-by-example t l ,e illustration [l], [2], [4], [5] which, though demonstrates tb ; invariant property, does not provide a rigorous treatment of the dyadic shift invariance. As an example, let { T } be an 12'-periodic sequence and { T , } be the sequence subjects to a J \ adic shift of size k , and { X } be the WHT of {x} and { X , } bc.…”
Section: Introductionmentioning
confidence: 99%
“…Classical control methods are well known; however, they are inadequate in the presence of strong nonlinearities. On the other hand, nonlinear controllers [ 11- [4] produce better results but the nonlinear analysis and design is not as systematic and clear as the linear case. Some work has been done on relating linear methods to manipulator dynamics [5]-[ 141.…”
Section: Introductionmentioning
confidence: 99%