05_03_06_validation_criteria - Estado del Proyecto

✅ COMPLETADO

Fecha de completación: 2025-10-10

📊 Métricas Finales

• Tests: 23/23 pasando ✅
• Cobertura: 100% ✅
• Líneas de código: ~900 LOC
• Validators: 5 implementados
• Ejemplos funcionales: 1
• Documentación: Completa

🎯 Objetivos Alcanzados

1. Sistema de Validación ✅

• TestResult y ValidationReport dataclasses
• TestStatus enum (PASS/FAIL/WARNING/SKIP)
• ToleranceLevel enum (STRICT/NORMAL/RELAXED)
• ValidationExecutor framework
• Execution time tracking
• Comprehensive error reporting

2. Validators Implementados ✅

• FrequencyResponseValidator - Validates magnitude/phase response
• StabilityValidator - Pole analysis and stability verification
• DCGainValidator - H(z=1) validation
• NyquistResponseValidator - H(z=-1) validation
• Support for FIR filters (no poles)

3. Analytical Test Cases ✅

• AnalyticalTestCase framework
• create_biquad_lowpass_test_case() factory
• Integration with transfer functions
• Integration with templates

4. Tolerance System ✅

• STRICT: 0.01 dB magnitude, 0.1° phase
• NORMAL: 0.1 dB magnitude, 1.0° phase
• RELAXED: 0.5 dB magnitude, 5.0° phase
• Configurable per validator

5. Validation Reports ✅

• Summary generation
• Test results aggregation
• Overall status determination
• Execution time reporting
• Human-readable output

6. Suite de Tests ✅

23 tests total: - TestTestResult (2 tests) - TestValidationReport (5 tests) - TestStabilityValidator (4 tests) - TestDCGainValidator (2 tests) - TestNyquistResponseValidator (2 tests) - TestFrequencyResponseValidator (2 tests) - TestValidationExecutor (4 tests) - TestAnalyticalTestCase (2 tests)

🏗️ Arquitectura Implementada

validation_system.py
├── Enums
│   ├── TestStatus (PASS, FAIL, WARNING, SKIP)
│   └── ToleranceLevel (STRICT, NORMAL, RELAXED)
│
├── TestResult
│   ├── test_id, test_type, status
│   ├── expected, measured, error, tolerance
│   └── passed() → bool
│
├── ValidationReport
│   ├── algorithm_id, test_results
│   ├── total_tests, passed, failed, warnings
│   ├── overall_status
│   ├── add_result(result)
│   └── generate_summary() → str
│
├── Validators
│   ├── FrequencyResponseValidator
│   │   └── validate(H, freqs, expected, tol) → List[TestResult]
│   ├── StabilityValidator
│   │   └── validate(H, margin) → TestResult
│   ├── DCGainValidator
│   │   └── validate(H, expected_db, tol) → TestResult
│   └── NyquistResponseValidator
│       └── validate(H, expected_db, tol) → TestResult
│
├── ValidationExecutor
│   ├── tolerance_level: ToleranceLevel
│   ├── tolerances: Dict
│   ├── get_tolerance(param) → float
│   └── validate_filter(...) → ValidationReport
│
└── Analytical Test Cases
    ├── AnalyticalTestCase
    │   ├── name, description, transfer_function
    │   ├── expected values
    │   └── validate(executor) → ValidationReport
    └── create_biquad_lowpass_test_case(fc, Q, fs)

📈 Resultados de Ejemplo

Example 1: Valid Biquad Lowpass

VALIDATION REPORT: biquad_lowpass_fc1000_Q0.707
Overall Status: PASS
Total Tests: 11
  Passed:   11
  Failed:   0
  Warnings: 0

✓ stability: PASS (error=0.911582, tol=0.990000)
✓ dc_gain: PASS (error=0.000000, tol=0.100000)
✓ nyquist_response: PASS (error=0.000000, tol=1.000000)
✓ freq_response_20Hz: PASS
✓ freq_response_1000Hz: PASS (at cutoff)
✓ freq_response_20000Hz: PASS

Example 2: Unstable Filter Detection

VALIDATION REPORT: unstable_filter
Overall Status: FAIL
Total Tests: 2
  Passed:   0
  Failed:   2

✗ stability: FAIL (error=0.200000, tol=0.990000)
✗ dc_gain: FAIL (error=13.979400, tol=0.100000)

🔧 Tecnologías Utilizadas

• Python 3.12 con type hints
• NumPy para cálculos numéricos
• dataclasses para estructuras
• Enum para estados
• unittest para testing
• Integration con TransferFunction y Templates

📝 Validation Schema

Test Types Defined:

1. frequency_response - Sweep test
2. impulse_response - Delta input
3. step_response - Unit step
4. stability - Pole analysis
5. dc_gain - H(z=1)
6. nyquist_response - H(z=-1)
7. quantization_robustness - Coefficient quantization
8. thd_n - Total Harmonic Distortion
9. latency - Group delay
10. passband_ripple - Passband flatness

Tolerance Specifications:

• magnitude_db: 0.01 / 0.1 / 0.5
• phase_deg: 0.1 / 1.0 / 5.0
• sample_absolute: 0.0001 / 0.001 / 0.01

Pass/Fail Criteria:

• PASS: error ≤ tolerance
• WARNING: tolerance < error ≤ 2×tolerance
• FAIL: error > 2×tolerance

🔗 Integración

Este módulo se integra con: - 05_03_03_transfer_functions: Valida TransferFunction objects - 05_03_04_numerical_specifications: Numerical tolerance validation - 05_03_05_algorithm_templates: Validates template instances - Future 30_TESTING_FRAMEWORK: Production test integration

🚀 Próximos Pasos

Módulo completado. Continuar con: - TAREA 8: 05_03_07_reference_implementations - TAREA 9: 05_03_08_documentation_generators

📚 Referencias

• Digital Signal Processing by Oppenheim & Schafer
• Test-Driven Development by Kent Beck
• Audio EQ Cookbook by Robert Bristow-Johnson