Calculadora de Filtro de Lazo PLL

Diseña el filtro de lazo pasivo de tipo 2 para un PLL con ancho de banda y margen de fase especificados.

Loading calculator...

Fórmula

\tau_2 = \frac{\sin \phi}{\omega_c}, \quad \tau_1 = \frac{1}{\omega_c^2 \tau_2}

ωc — Loop crossover frequency (2π × f_BW) (rad/s)

φ — Phase margin (rad)

τ1 — Zero time constant (s)

τ2 — Pole time constant (s)

Cómo Funciona

Phase-Locked Loop (PLL) loop filters are critical circuit elements in frequency synthesis and signal processing systems. A Type-2 passive loop filter provides essential feedback control for frequency and phase synchronization in communication and electronic systems. The filter's design involves calculating time constants and component values that determine the loop's dynamic performance, including lock time, stability, and noise characteristics.

Ejemplo Resuelto

Problem: Design a Type-2 PLL loop filter with a bandwidth of 10 kHz and phase margin of 45 degrees Solution: 1. Calculate ωc: ωc = 2π * 10,000 = 62,832 rad/s 2. Compute τ1: τ1 = 1 / (ωc²·τ2) 3. Calculate τ2: τ2 = sin(45°) / ωc = 0.707 / 62,832 4. Select R1 = 10 kΩ 5. Determine C1: C1 = τ1 / R1 6. Determine C2: C2 = τ2 / R1

Consejos Prácticos

✓Always verify loop stability through simulation or experimental testing
✓Consider temperature coefficients of capacitors in critical designs
✓Use precision resistors to maintain accurate time constants

Errores Comunes

✗Neglecting the relationship between phase margin and loop stability
✗Incorrectly calculating time constants
✗Overlooking component tolerances that affect filter performance

Preguntas Frecuentes

Shop Components

Affiliate links — we may earn a commission at no cost to you.

Op-Amps

General-purpose and precision operational amplifiers

DigiKey →Mouser →

Active Filter ICs

Dedicated filter ICs for low-pass, high-pass, and bandpass designs

DigiKey →Mouser →

Related Calculators

Signal

Filter Designer

Design passive RC and LC Butterworth low-pass, high-pass, and band-pass filters. Calculates component values (C, L), time constant, and attenuation for filter orders 1 through 4.

Phase Noise to Jitter

Convert oscillator phase noise (dBc/Hz) to RMS jitter and cycle-to-cycle jitter by integrating over a specified offset frequency range

Signal

SNR

Calculate SNR, noise floor, sensitivity, and dynamic range for RF receivers and signal chains

Signal

Nyquist Sampling

Calculate Nyquist sampling rate, oversampling ratio, aliasing frequency, ADC dynamic range, SNR, and data rate. Verify that your sampling rate satisfies the Nyquist criterion and avoid aliasing in your system.

Signal

ADC SNR & ENOB

Calculate analog-to-digital converter signal-to-noise ratio, effective number of bits (ENOB), and SFDR including aperture jitter effects

Signal

FFT Resolution

Calculate FFT frequency bin resolution, Nyquist range, time record length, noise floor processing gain, and window scalloping loss