Presentation on Angular MIMO

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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)

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Angular Decomposition

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MIMO Multipath Channel
𝑦 = 𝐻𝑥 + 𝑤
𝐻 =
𝑖
𝛼𝑖 𝑒 𝑟 𝛺𝑟𝑖 𝑒𝑡 𝛺𝑡𝑖 ∗

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MIMO Multipath Channel

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MIMO
Multipath
Channel

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Angular Representation as DFT

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Angular Domain Representation of MIMO Channel

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Angular Domain Representation of MIMO Channel

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Time Varience

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Statistical Modeling with Time Variance

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Statistical Modeling with Time Variance

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