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shannon_hartley

Calculate maximum data transmission rates using the Shannon-Hartley theorem and validate throughput claims against physical limits for communication channels.

Instructions

Calculate Shannon-Hartley channel capacity and validate throughput claims.

Computes the theoretical maximum data rate C = B * log2(1 + SNR) for an AWGN channel. If a claimed throughput is provided, validates it against this limit. Any claim exceeding the Shannon limit is a physical impossibility.

Use this tool when you need to:

  • Calculate maximum achievable throughput for a given bandwidth and SNR

  • Validate whether a throughput claim is physically possible

  • Determine spectral efficiency limits

  • Check if a modulation/coding scheme claim is realistic

Returns a PhysicalViolationError dict when a claim exceeds the Shannon limit.

Args: bandwidth_hz: Channel bandwidth in Hz (must be > 0) snr_linear: Signal-to-noise ratio (linear, not dB). Provide this OR snr_db. snr_db: Signal-to-noise ratio in dB. Provide this OR snr_linear. claimed_throughput_bps: Optional throughput claim to validate in bits/sec

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
bandwidth_hzYes
snr_linearNo
snr_dbNo
claimed_throughput_bpsNo

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