Parametric EQ

Second-order parametric equalizer filter

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  • Library:

  • Audio Toolbox / Filters

  • Parametric EQ block

Description

The Parametric EQ block filters each channel of the input signal over time using a specified center frequency, bandwidth, and peak (dip) gain. This block offers tunable filter design parameters, which enable you to tune the filter characteristics while the simulation is running. The filter is designed using designParamEQ and implemented using dsp.BiquadFilter.

This block supports variable-size input, enabling you to change the channel length during simulation. To enable variable-size input, clear the Inherit sample rate from input parameter. The number of channels must remain constant.

Ports

Input

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  • Matrix input –– Each column of the input is treated as an independent channel.

  • 1-D vector input –– The input is treated as a signal channel.

This port is unnamed unless you specify additional input ports.

Data Types: single | double

Specify the center frequency as a positive scalar that is less than half the sample rate of the input signal.

Dependencies

To enable this port, select Specify from input port for the Center Frequency (Hz) parameter.

Data Types: single | double

Specify the filter bandwidth as a positive scalar that is less than or equal to half the sample rate of the input signal and 20 kHz.

Dependencies

To enable this port, select Bandwidth and Center Frequency for the Filter specification and Specify from input port for the Filter Bandwidth (Hz) parameter.

Data Types: single | double

Specify the peak or dip gain in dB as a scalar.

Dependencies

To enable this port, select Specify from input port for the Peak Gain (dB) parameter.

Data Types: single | double

Specify the quality factor as a positive scalar.

Dependencies

To enable this port, select Quality factor and center frequency for the Filter Specification and Specify from input port for the Quality Factor parameter.

Data Types: single | double

Output

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The Parametric EQ block outputs a signal with the same data type as the input signal. The size of the output depends on the size of the input:

  • Matrix input –– The block outputs a matrix the same size and data type as the input signal.

  • 1-D vector input –– The block outputs an N-by-1 matrix (column vector), where N is the number of elements in the 1-D vector.

Data Types: single | double

Parameters

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If a parameter is listed as tunable, then you can change its value during simulation.

Tunable: No

  • Bandwidth and center frequency –– Design the filter using Filter Bandwidth (Hz), Center Frequency (Hz), and Peak Gain (dB).

  • Quality factor and center frequency –– Design the filter using Center Frequency (Hz), Peak Gain (dB), and Quality Factor.

Tunable: No

Specify the center frequency as a positive scalar that is less than half the sample rate of the input signal.

To specify Center Frequency (Hz) from an input port, select Specify from input port for the parameter.

Tunable: Yes

Specify the filter bandwidth as a positive scalar that is less than or equal to half the sample rate of the input signal or 20 kHz, whichever is larger.

To specify Filter Bandwidth (Hz) from an input port, select Specify from input port for the parameter.

Tunable: Yes

Dependencies

To enable this parameter, set Filter specification to Bandwidth and center frequency.

Specify the quality factor as a scalar in the range [0.1, 20].

To specify Quality Factor from an input port, select Specify from input port for the parameter.

Tunable: Yes

Dependencies

To enable this parameter, set Filter specification to Quality factor and center frequency.

Specify the peak gain in dB as a scalar in the range [−30, 30].

Tunable: Yes

When you select this parameter, the block inherits its sample rate from the input signal. When you clear this parameter, you specify the sample rate in Input sample rate (Hz).

Tunable: No

Tunable: Yes

Dependencies

To enable this parameter, clear the Inherit sample rate from input parameter.

  • Interpreted execution –– Simulate model using the MATLAB® interpreter. This option shortens startup time and has simulation speed comparable to Code generation. In this mode, you can debug the source code of the block.

  • Code generation –– Simulate model using generated C code. The first time you run a simulation, Simulink® generates C code for the block. The C code is reused for subsequent simulations, as long as the model does not change. This option requires additional startup time, but the speed of the subsequent simulations is faster compared to Interpreted execution.

Tunable: No

Model Examples

Perform Parametric Equalization

Perform Parametric Equalization

Examine the Parametric EQ block in a Simulink® model and tune parameters.

Block Characteristics

Data Types

double | single

Direct Feedthrough

no

Multidimensional Signals

no

Variable-Size Signals

yes

Zero-Crossing Detection

no

References

[1] Orfanidis, Sophocles J. "High-Order Digital Parametric Equalizer Design." Journal of the Audio Engineering Society. Vol. 53, November 2005, pp. 1026–1046.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

See Also

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Topics

Introduced in R2019a

Audio Toolbox Documentation

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