SIGNAL REPRESENTATION AND

MIMO CHANNEL MODELING IN ANGULAR DOMAIN

TEJUS ADIGA M

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Angular Decomposition

• L = 2λ. So L/ λ = 2. Where L is the normalized length of the array.

• = L/n. Where n is the number of elements in array. is Δ ΔElement spacing.

• Transmit Antenna Array: t = Lt/nt. Total nt Bins (0, 1,…nt1)Δ• Receive Antenna Array: r = Lr/nr. Total nr bins (0, 1,…nr1)Δ• 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+𝑤𝐻=∑

𝑖𝛼𝑖𝑒𝑟 (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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