gen-briefly-explain-channel-capacity-and-one-common-misconceptio-53a8

Briefly explain channel capacity and one common misconception about it.

# Channel Capacity **Channel capacity** is the maximum rate at which information can be reliably transmitted over a communication channel with arbitrarily small error probability. Introduced by Claude Shannon, it's measured in bits per second and depends on bandwidth and signal-to-noise ratio. For example, Shannon's formula for a continuous channel is: **C = B log₂(1 + SNR)** where C is capacity, B is bandwidth, and SNR is the signal-to-noise ratio. ## Common Misconception **Misconception:** "You cannot transmit faster than channel capacity." **Reality:** You *can* transmit at rates above capacity, but you cannot do so *reliably*. Above capacity, error probability cannot be made arbitrarily small regardless of coding scheme. Below capacity, arbitrarily reliable transmission is theoretically possible with appropriate error-correction coding. The capacity represents a sharp boundary between achievable reliable communication and fundamental impossibility.