Source: https://guthlabs.ai/docs/instruments/dsp-sample-rate-nyquist-calculator/implementation/

instrument implementation / implementation-contract

# DSP: Sample Rate & Nyquist Calculator implementation

A source-bound implementation contract for DSP: Sample Rate & Nyquist Calculator; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t4-208

**Effect**: Computation or source lookup only

## Input and validation requirements

The arithmetic formulas produce expected finite results, including at the exact Nyquist boundary and at the largest finite sample rate. However, the specification leaves the signed-frequency convention undefined, allowing the same input (-25000 Hz at a 48000 Hz sample rate) to produce either an aliasing warning or no warning. Input-domain validation for nonphysical or extreme values is also unspecified.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "sample_rate_hz": 48000,
    "bit_depth_bits": 16,
    "signal_frequency_hz": 1000
  },
  "expected_outputs": {
    "nyquist_frequency_hz": 24000,
    "max_representable_frequency_hz": 24000,
    "aliasing_warning": false,
    "dynamic_range_db": 98.08
  },
  "working": "Nyquist = 48,000 / 2 = 24,000 Hz. Max representable frequency = 24,000 Hz. Signal comparison: 1,000 Hz > 24,000 Hz is false, so aliasing_warning = false. Dynamic range = 6.02 × 16 + 1.76 = 96.32 + 1.76 = 98.08 dB."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/dsp-sample-rate-nyquist-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/dsp-sample-rate-nyquist-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/dsp-sample-rate-nyquist-calculator/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche4/tranche4-results.json`