Angular MIMO

SIGNAL REPRESENTATION AND

MIMO CHANNEL MODELING IN ANGULAR DOMAIN

TEJUS ADIGA M

2tejus.adiga@pelmisrosystems.net

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)

tejus.adiga@pelmisrosystems.net 3

Angular Decomposition

tejus.adiga@pelmisrosystems.net 4

MIMO Multipath Channel

𝑦=𝐻𝑥+𝑤𝐻=∑

𝑖𝛼𝑖𝑒𝑟 (𝛺𝑟𝑖 )𝑒𝑡 (𝛺𝑡𝑖 )∗

tejus.adiga@pelmisrosystems.net 5

MIMO Multipath Channel

tejus.adiga@pelmisrosystems.net 6

MIMO Multipath Channel

tejus.adiga@pelmisrosystems.net 7

Angular Representation as DFT

tejus.adiga@pelmisrosystems.net 8

Angular Domain Representation of MIMO Channel

tejus.adiga@pelmisrosystems.net 9

Angular Domain Representation of MIMO Channel

tejus.adiga@pelmisrosystems.net 10

Time Varience

tejus.adiga@pelmisrosystems.net 11

Statistical Modeling with Time Variance

tejus.adiga@pelmisrosystems.net 12

Statistical Modeling with Time Variance

tejus.adiga@pelmisrosystems.net 13