Meaning
Propagation phenomena where the spatial correlation of the antennas is low, yet the channel matrix rank remains low, limit the capacity of MIMO systems. The keyhole effect occurs when the signals from multiple transmit antennas are uncorrelated, but they are forced to pass through a narrow physical opening or waveguide before reaching the receiver. This bottleneck causes the channel to behave like a single-input single-input channel, preventing spatial multiplexing despite the rich scattering at both ends.
Physical Bottleneck
In environments like tunnels, long hallways, or rooms separated by a single small aperture, the signal paths are constrained. Although the arrays at both ends may be surrounded by rich scattering objects that decorrelate the local signals, the only way the energy can travel from transmitter to receiver is through this intermediate channel. The narrow opening acts as a single spatial mode that filters out all other degrees of freedom.
This physical reality forces the signals to combine and travel along a single path.
Mathematical Representation
The channel matrix in this scenario is modeled as the product of two independent vectors rather than a full-rank matrix. Multiplying a column vector by a row vector results in a matrix with a rank of one. This mathematical structure reflects the loss of spatial multiplexing capability.
Capacity Limitation
Systems suffer a severe drop in spectral efficiency when this phenomenon occurs because they cannot transmit multiple streams. Increasing the number of antennas does not improve the multiplexing gain under these conditions. Transceivers must shift to diversity or beamforming modes to maximize the signal-to-noise ratio.