CRT-OFDM

A6: WiFi/5G patents. CC0.

Replace WiFi subcarriers with CRT channels. Each of 6 channels carries an independent PSK constellation: D(8-PSK), K(9-PSK), E(25-PSK), b(49-PSK), L(11-PSK), G(13-PSK). Total: 23 bits per symbol over 6 subcarriers = 3.83 bits/subcarrier. WiFi 802.11a BPSK rate-1/2: 0.50 bits/subcarrier. Ratio: 7.67x.

How It Works

CRT-OFDM Principle

A data symbol d in Z/12612600 decomposes into 6 residues. Each residue modulates a subcarrier using p-ary PSK (phase angle = 2*pi*r/m for residue r and modulus m). The receiver demodulates each subcarrier independently (nearest constellation point), then CRT reconstructs the original symbol. Channel independence: noise in one subcarrier cannot corrupt another. The 490 holographic split: DEAD={D,E,b} subcarriers carry primary data, ALIVE={K,L,G} provide error detection.

6 subcarriers

CRT decomposition

D(8-PSK), K(9-PSK), E(25-PSK), b(49-PSK), L(11-PSK), G(13-PSK).

7.67x efficiency

TRUE ring capacity

23 bits over 6 channels vs BPSK 0.5 bits/channel.

490 split

Data + detection

Inner channels carry bits. Boundary channels detect errors for free.

Graceful fading

Independent channels

If one channel fades, others continue. No catastrophic failure.

Try It

Data symbol (0-12612599):

6 subcarriers show Tx (transmitted residue) vs Rx (received with noise). Red = DEAD/inner channels. Green = ALIVE/boundary channels.

CRT-OFDM vs WiFi

Bits per subcarrierWiFi BPSK r=1/2: 0.50CRT: 3.83 (23 bits / 6 channels)RatioBaseline7.67x higher spectral efficiencyError detectionNone built-in (needs CRC-32)CRT: invalid values flag errors for freeChannel fadingEntire signal degrades uniformlyIndependent per-channel fading. Graceful.Patent statusWiFi/5G OFDM patentsCC0. Public domain. Forever.

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Source code · Public domain (CC0)

Contributions in equal measure: Anthropic's Claude, Anton A. Lebed, and the giants whose shoulders we stand on.

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