Accelerating the pace of engineering and science

# dsp.LPCToLSP System object

Package: dsp

Convert linear prediction coefficients to line spectral pairs

## Description

The LPCToLSP object converts linear prediction coefficients to line spectral pairs.

To convert LPC to LSP:

1. Define and set up your LPC to LSP converter. See Construction.

2. Call step to convert LPC according to the properties of dsp.LPCToLSP. The behavior of step is specific to each object in the toolbox.

## Construction

H = dsp.LPCToLSP returns a System object™, H, that converts linear prediction coefficients (LPCs) to line spectral pairs (LSPs).

H = dsp.LPCToLSP('PropertyName',PropertyValue,...) returns an LPC to LSF System object, H, with each specified property set to the specified value.

## Properties

 NumCoarseGridPoints Number of coarse subintervals used for finding roots (LSP values) Specify the number of coarse subintervals, n, used for finding line spectral pairs (LSP) values, as a positive scalar integer. LSPs, which are the roots of two particular polynomials related to the input LPC polynomial, always lie in the range (–1, 1). The System object finds these roots using the Chebyshev polynomial root finding method. The object divides the interval (–1, 1) into n subintervals and looks for roots in each subinterval. If n is set to too small a number in relation to the LPC polynomial order, the object can fail to find some of the roots. The default is 64. This property is tunable. NumBisects Value of bisection refinement used for finding roots Specify the root bisection refinement value, k, that the Chebyshev polynomial uses in the root finding method. For each line spectral pair (LSP) the output is within $\frac{\text{1}}{\text{n}\cdot {\text{2}}^{\text{k}}}$ of the actual LSP value. Here n is the value of the NumCoarseGridPoints property and the object searches a maximum of $\text{k}\cdot \text{(n-1)}$ points for finding the roots. The NumBisects property value k, must be a positive scalar integer. The default is 4. This property is tunable. ExceptionOutputPort Produces output with validity status of LSP output Set this property to true to return a second output that indicates whether the computed LSP values are valid. The object outputs a vector length equal to the number of channels. A logical value of 1 indicates the output is valid. A logical value of 0 indicates the output is invalid. The LSP outputs are invalid when the object fails to find all the LSP values or when the input LPCs are unstable. The default is false. OverwriteInvalidOutput Enable overwriting invalid output with previous output Specify the action that the object takes for invalid LSP outputs. When you set this property to true, the object overwrites the invalid output with the previous output. When you set this property to false, the object takes no action on invalid outputs and ignores the outputs. FirstOutputValuesSource Source of values for first output when output is invalid Specify the source of values for the first output when the output is invalid as Auto or Property. This property applies only when you set the OverwriteInvalidOutput property to true. The default is Auto. When this property is Auto, the object uses a default value for the first output. The default value corresponds to the LSP representation of an allpass filter. FirstOutputValues Value of first output Specify a numeric vector of LSP values for overwriting an invalid first output. The length of this vector must be one less than the length of the input LPC vector. For multichannel inputs, set this property can to a matrix with the same number of channels as the input or one vector that you apply to every channel. The default is an empty vector. This property applies only when you set the OverwriteInvalidOutput property to true and the FirstOutputValuesSource property to Property. NonUnityFirstCoefficientAction First coefficient nonunity action Specify the action that the object takes when the first coefficient of each channel of the LPC input is not equal to 1. Specify as one of Replace with 1 or Normalize. The default is Replace with 1.

## Methods

 clone Create LPC To LSP object with same property values getNumInputs Number of expected inputs to step method getNumOutputs Number of outputs of step method isLocked Locked status for input attributes and nontunable properties release Allow property value and input characteristics changes reset Reset values for overwriting invalid outputs to their initial values step Convert linear prediction coefficients to line spectral pairs

## Examples

Convert the LPC coefficients to LSP coefficients:

``` a = [1.0000 0.6149 0.9899 0.0000 0.0031 -0.0082]';
hlpc2lsp = dsp.LPCToLSP;
y = step(hlpc2lsp, a); % Convert to LSP coefficients
```

## Algorithms

This object implements the algorithm, inputs, and outputs described on the LPC to LSF/LSP Conversion block reference page. The object properties correspond to the block parameters, except:

 No object property corresponds to the Output block parameter. The object only supports LSP outputs.