Angular MIMO
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The document discusses angular decomposition and representation of MIMO channels. It describes how the transmit and receive antenna arrays are normalized by length and divided into equal bins based on the number of antenna elements. Directional cosines define the angles of incoming and outgoing signals. The MIMO channel is represented as a sum of propagation paths, with the channel matrix defined by the path gains and angular terms. Angular domain representation treats the channel sounding like a discrete Fourier transform over the antenna arrays. Statistical modeling accounts for time variation in the propagation environment.
Angular MIMO
- 2. tejus.adiga@pelmisrosystems.net 2 Angular Decomposition • L = 2λ. So L/ λ = 2. Where L is the normalized length of the array. • Δ = L/n. Where n is the number of elements in array. Δ is Element spacing. • Transmit Antenna Array: Δt = Lt/nt. Total nt Bins (0, 1,…nt1) • Receive Antenna Array: Δr = Lr/nr. Total nr bins (0, 1,…nr1) • Directional Cosine of Rx/Tx signal Ωri = cos(Φri) Ωti = cos(Φti)
- 4. tejus.adiga@pelmisrosystems.net 4 MIMO Multipath Channel 𝑦 = 𝐻𝑥 + 𝑤 𝐻 = 𝑖 𝛼𝑖 𝑒 𝑟 𝛺𝑟𝑖 𝑒𝑡 𝛺𝑡𝑖 ∗
- 8. tejus.adiga@pelmisrosystems.net 8 Angular Domain Representation of MIMO Channel
- 9. tejus.adiga@pelmisrosystems.net 9 Angular Domain Representation of MIMO Channel
- 11. tejus.adiga@pelmisrosystems.net 11 Statistical Modeling with Time Variance
- 12. tejus.adiga@pelmisrosystems.net 12 Statistical Modeling with Time Variance