Harmonic Forensic Spectrum (HF)

The Harmonic Forensic (HF) spectrum provides 20 frequency-domain analysis operators for forensic signal processing, integrity verification, and anomaly detection. HF powers the HulyaForensics content scanner in Zeq Mail.

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HF operators are internal to the platform and applied automatically during ZSP envelope verification and mail scanning. They are not directly callable via the Compute API but contribute to ZeqProof receipts.

Signal Analysis

HF operators decompose input signals into harmonic components, measuring spectral purity, phase coherence, and temporal stability. Each operator targets a specific frequency band or analysis mode:

HF-01 through HF-10: Spectral decomposition operators. Break down signals into 10 harmonic bands centred on multiples of the HulyaPulse frequency (1.287 Hz). Each band measures amplitude, phase offset, and noise floor.

HF-11 through HF-15: Forensic integrity operators. Compare measured harmonics against expected profiles to detect tampering, injection, or signal degradation. Used in ZSP envelope verification.

HF-16 through HF-20: Anomaly detection operators. Statistical outlier detection across the harmonic spectrum. Flag unexpected frequency components that may indicate data corruption or malicious modification.

HF Composite Score

HF_score = ∑_{k=1}^{20} w_k · HF_k(signal)
where w_k are normalised weights summing to 1

The composite HF score aggregates all 20 operators into a single integrity metric in [0, 1]. A score above 0.95 indicates high confidence in signal authenticity.

Applications

Zeq Mail: HulyaForensics scans incoming email content using HF-11 through HF-15 for integrity and HF-16 through HF-20 for spam/phishing detection.

ZSP Verification: Every ZeqProof receipt includes HF composite scores for the three ZSP kernels (K_spectral, K_temporal, K_chaos).

HZC Compression: HF-01 through HF-10 guide the spectral decomposition in the HZC compressor, identifying which frequency bands carry the most information.

Related

See also: All Operators, ZSP, Awareness Operators