Hilbert

Overview

6th order Hilbert transform

Discussion

This subsystem has 2 inputs and 2 outputs. The input pin is named 'in' and the output pins are named 'out1' and 'out2'. The input pins can be of arbitrary dimension and the size of the output pins equal the size of the input pins. The module operates on multichannel signals. The filters are designed so that \(\angle(out1)-\angle(out2) = 90~degrees.\) Each filter is a cascade of 6 1st order allpass filters. Internally, pairs of first order allpass filters are combined and implemented as second order Biquad stages.

The subsystem requires two scratch buffers. The size of the scratch buffers equals the size of the input.

Module Pack

Advanced

ClassID

classID =

Type Definition

typedef struct _ModuleHilbert
{
ModuleInstanceDescriptor instance;            // Common Audio Weaver module instance structure
} ModuleHilbertClass;

Pins

Input Pins


Name	inReal
Description	Audio Input for real valued signals
Data type	float
Channel range	Unrestricted
Block size range	Unrestricted
Sample rate range	Unrestricted
Complex support	Real


Name	inImag
Description	Audio Input for imaginary valued signals
Data type	float
Channel range	Unrestricted
Block size range	Unrestricted
Sample rate range	Unrestricted
Complex support	Real

Output Pins


Name	outReal
Description	Audio output for real valued signals
Data Type	float


Name	outImag
Description	Audio output for imaginary valued signals
Data Type	float

Scratch Pins


Channel Count	1
Block size	32
Sample rate	48000

Matlab Usage

File Name: hilbert_subsystem.m 
 SYS=hilbert_subsystem(NAME) 
 Creates a 2-input 2-output module which implements a 12th order Hilbert 
 transform.  Arguments: 
    NAME - name of the module.