rc2ac

R2026b

Convert reflection coefficients to autocorrelation sequence

Syntax

r = rc2ac(k,r0)

Description

r = rc2ac(k,r0) returns the autocorrelation coefficients, r, of the output of the discrete-time prediction error filter from the lattice-form reflection coefficients k and initial zero-lag autocorrelation r0.

Examples

Compute Autocorrelation Sequence

Determine the autocorrelation sequence that corresponds to a given vector, k, of reflection coefficients and an initial zero-lag autocorrelation given by r0.

k = [0.3090 0.9800 0.0031 0.0082 -0.0082];
r0 = 0.1;
a = rc2ac(k,r0)

a = 6×1

    0.1000
   -0.0309
   -0.0791
    0.0787
    0.0294
   -0.0950

Input Arguments

k — Reflection coefficients

vector

List of reflection coefficients, specified as a vector.

Data Types: single | double
Complex Number Support: Yes

r0 — Zero-lag autocorrelation

scalar

Zero-lag autocorrelation, specified as a scalar.

Data Types: single | double
Complex Number Support: Yes

Output Arguments

r — Autocorrelation sequence

column vector

Autocorrelation sequence, returned as a column vector with (p+1) elements, where p is the same number of elements in as in k.

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™.

Usage notes and limitations:

See Incompatibility with MATLAB for Default Dimension Selection (MATLAB Coder).

GPU Code Generation

Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Refer to the usage notes and limitations in the C/C++ Code Generation section. The same usage notes and limitations apply to GPU code generation.

Thread-Based Environment

Run code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool.

The rc2ac function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.

Version History

Introduced before R2006a

R2026b: Use thread-based environments

You can use rc2ac in thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.