Orthogonality
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IEEE 802.11 Wireless LANs - University of California, Berkeley
inst.eecs.berkeley.eduRelies on “orthogonality” in frequency domain TOC – 802.11 – Physical Layer – 802.11a. 802.11a: 5 GHz OFDM PHY -3 In U.S., there are 12 channels, each 20 MHz wide Spectrum layout TOC – 802.11 – Physical Layer – 802.11a. 802.11a: 5 GHz OFDM PHY -4 Each channel is divided into 52 subcarriers: 48
Introduction to Photonic Crystals: Bloch’s Theorem, Band ...
ab-initio.mit.edueigenfrequencies ω are real, for example, and also leads to orthogonality, vari-ational formulations, and perturbation-theory relations that we discuss further below. An important difference compared to quantum mechanics is that there is a transversality constraint: one typically excludes ∇ ·~ H~ 6= 0 (or ∇ ·~ εE~ 6= 0)
Orthogonal Frequency Division Modulation (OFDM)
www.csie.ntu.edu.twImportance of Orthogonality • Why not just use FDM (frequency division multiplexing) ! Not orthogonal • Need guard bands between adjacent frequency bands ! extra overhead and lower throughput f Individual)sub%channel) Leakage)interference)from) adjacentsub%channels) f guard)band) Guard)bands)protect leakage)interference)
Lecture 8 Least-norm solutions of undetermined equations
see.stanford.edu• orthogonality condition: xln ⊥ N(A) • projection interpretation: xln is projection of 0 on solution set { x | Ax = y } Least-norm solutions of undetermined equations 8–6
1 Inner products and norms - Princeton University
www.princeton.eduDe nition 2 (Orthogonality). We say that xand yare orthogonal if hx;yi= 0: Theorem 1 (Cauchy Schwarz). For x;y2Rn jhx;yij jjxjjjjyjj; where jjxjj:= p hx;xiis the length of x(it is also a norm as we will show later on). 2