nakulgarg22

I'm exited to see if an array of antennas in the glass can 'beamform' in the building and increase signal strengths intelligently.

You're correct - I oversimplified assuming no doppler effect and a linear time invariant system.

The key is that we can still analyze and manipulate frequency components independently in REAL PHYSICAL WORLD, which enables techniques like OFDM.

Orthogonality is a beautiful concept.

In physics, different frequencies don’t interfere with each other—they're always independent. However, in digital operations and mathematics, this isn’t automatically true, so we need to carefully select the right frequencies.

OFDM leverages this by ensuring that, in the frequency domain, certain frequencies remain completely separate, meaning changes to one frequency (in amplitude or phase) won't affect the others.

This allows us to capture the maximum information with limited samples.