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Baseband PLL

Implement baseband phase-locked loop

Library

Components sublibrary of Synchronization

Description

The Baseband PLL (phase-locked loop) block is a feedback control system that automatically adjusts the phase of a locally generated signal to match the phase of an input signal. Unlike the Phase-Locked Loop block, this block uses a baseband method and does not depend on a carrier frequency.

This PLL has these three components:

  • An integrator used as a phase detector.

  • A filter. You specify the filter's transfer function using the Lowpass filter numerator and Lowpass filter denominator parameters. Each is a vector that gives the respective polynomial's coefficients in order of descending powers of s.

    To design a filter, you can use the Signal Processing Toolbox™ functions cheby1, and cheby2. The default filter is a Chebyshev type II filter whose transfer function arises from the command below.

    [num, den] = cheby2(3,40,100,'s')

  • A voltage-controlled oscillator (VCO). You specify the sensitivity of the VCO signal to its input using the VCO input sensitivity parameter. This parameter, measured in Hertz per volt, is a scale factor that determines how much the VCO shifts from its quiescent frequency.

This block accepts a sample-based scalar signal. The input signal represents the received signal. The three output ports produce:

  • The output of the filter

  • The output of the phase detector

  • The output of the VCO

This model is nonlinear; for a linearized version, use the Linearized Baseband PLL block.

Parameters

Lowpass filter numerator

The numerator of the lowpass filter's transfer function, represented as a vector that lists the coefficients in order of descending powers of s.

Lowpass filter denominator

The denominator of the lowpass filter's transfer function, represented as a vector that lists the coefficients in order of descending powers of s.

VCO input sensitivity (Hz/V)

This value scales the input to the VCO and, consequently, the shift from the VCO's quiescent frequency.

References

For more information about phase-locked loops, see the works listed in Selected Bibliography for Synchronization in Communications System Toolbox™ User's Guide.

Introduced before R2006a

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