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ac2rc

Convert autocorrelation sequence to reflection coefficients

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Syntax

[k,r0] = ac2rc(r)

Description

[k,r0] = ac2rc(r) returns the reflection coefficients, k, from the autocorrelation sequence r. The ac2rc function also returns the zero-lag autocorrelation r0.

example

Examples

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Open Live Script

Given an autocorrelation sequence, r, determine the reflection coefficients of the corresponding lattice structure and the zero-lag autocorrelation.

r = [5.0000 -1.5450 -3.9547 3.9331 1.4681 -4.7500]';

[k,r0] = ac2rc(r)
k = 5×1

    0.3090
    0.9800
    0.0030
    0.0082
   -0.0077


r0 = 
5

Input Arguments

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Autocorrelation sequence, specified as a vector or as a matrix. The ac2rc function treats each column of r as a separate channel.

Data Types: double
Complex Number Support: Yes

Output Arguments

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List of reflection coefficients, returned as a column vector or as a matrix. This list has as many columns (channels) as r, and p rows, where p+1 is the number of rows in r.

Zero-lag autocorrelation, returned as a scalar or as a column vector with as many rows as channels (columns) in r.

Tips

You can use the reflection coefficients k to find the lattice prediction filter that produces a sequence with approximately the same autocorrelation sequence as the given sequence r. See rc2poly for more information

References

[1] Kay, Steven M. Modern Spectral Estimation. Englewood Cliffs, NJ: Prentice-Hall, 1988.

Extended Capabilities

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

Version History

Introduced before R2006a

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See Also

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