# dsp.AnalyticSignal

Analytic signals of discrete-time inputs

## Description

The `dsp.AnalyticSignal`

System object™ computes analytic signals of discrete-time inputs. The real part of the analytic
signal in each channel is a replica of the real input in that channel, and the imaginary part
is the Hilbert transform of the input. In the frequency domain, the analytic signal doubles
the positive frequency content of the original signal while zeroing-out negative frequencies
and retaining the DC component. The object computes the Hilbert transform using an equiripple
FIR filter.

To compute the analytic signal of a discrete-time input:

Create the

`dsp.AnalyticSignal`

object and set its properties.Call the object with arguments, as if it were a function.

To learn more about how System objects work, see What Are System Objects?

This object supports C/C++ code generation and SIMD code generation under certain conditions. For more information, see Code Generation.

## Creation

### Syntax

### Description

returns an
analytic signal object, `anaSig`

= dsp.AnalyticSignal`anaSig`

, that computes the complex analytic
signal corresponding to each channel of a real
*M*-by-*N* input matrix.

returns an analytic signal object, `anaSig`

= dsp.AnalyticSignal(`order`

)`anaSig`

, with the FilterOrder property set to
`order`

.

returns an analytic signal object, `anaSig`

= dsp.AnalyticSignal(`Name,Value`

)`anaSig`

, with each specified
property set to the specified value.

## Properties

## Usage

### Syntax

### Description

computes
the analytic signal, `y`

= anaSig(`x`

)`y`

, of the
*M*-by-*N* input matrix `x`

,
according to the equation

$$Y=X+jH\left\{X\right\}$$

where *j* is the imaginary unit and $$H\left\{X\right\}$$ denotes the Hilbert transform.

Each of the *N* columns in `x`

contains
*M* sequential time samples from an independent channel. The method
computes the analytic signal for each channel.

### Input Arguments

### Output Arguments

## Object Functions

To use an object function, specify the
System object as the first input argument. For
example, to release system resources of a System object named `obj`

, use
this syntax:

release(obj)

## Examples

## More About

## Algorithms

The algorithm computes the Hilbert transform using an equiripple FIR filter of the specified order *n*. The linear phase filter is designed using the Remez exchange algorithm and imposes a delay of *n*/2 on the input samples.

## Extended Capabilities

## Version History

**Introduced in R2012a**