[f,g] = latcfilt(k,x)
filters input signal x with the FIR lattice coefficients specified by
k and returns the forward lattice filter result
f and backward filter result g.

[f,g] = latcfilt(k,v,x)
filters input signal x with the IIR lattice coefficients specified by
k and ladder coefficients specified by v. Both
k and v must be vectors, while
x can be a matrix.

[f,g] = latcfilt(k,1,x)
filters input signal x with the IIR lattice coefficients specified by
k and returns the all-pole lattice filter result
f and the allpass filter result g.

[f,g,zf] = latcfilt(___,"ic",zi)
specifies the initial conditions of the lattice states zi and returns
the final conditions of the lattice states zf.

[f,g,zf] = latcfilt(___,dim)
filters x along the dimension dim.

Generate a signal with 512 samples of white Gaussian noise.

x = randn(512,1);

Filter the data with an FIR lattice filter. Specify the reflection coefficients so that the lattice filter is equivalent to a 3rd-order moving average filter.

[f,g] = latcfilt([1/2 1],x);

Plot the maximum- and minimum-phase outputs of the lattice filter in separate plots

Lattice coefficients, specified as a vector or matrix. If $$\left|k\right|\le 1$$, f corresponds to the minimum-phase output, and
g corresponds to the maximum-phase output.

When filtering data, lattice coefficients can be used to represent

FIR filters

All-pole IIR filters

Allpass IIR filters

General IIR filters

Data Types: double

x — Input signal vector | matrix

Input signal, specified as a vector or matrix.

Data Types: double

v — Ladder coefficients vector

Ladder coefficients, specified as a vector.

Data Types: double

zi — Initial conditions vector | matrix

Initial conditions of the lattice states, specified as a vector or matrix. If
zi is a vector, then it must have the same length as
k. If zi is a matrix, then each column must
have a length equal to the length of k.

Data Types: double

dim — Dimension positive integer scalar

Dimension along which to operate, specified as a positive integer scalar. To specify
a dim value, the FIR lattice coefficients k
must be a vector and you must specify all previous input parameters in order. Use the
empty vector [ ] for any parameters you do not want to specify.

Forward lattice filter, returned as a vector or matrix.

If k and x are vectors,
f is a vector. Matrix arguments are permitted under these rules:

If x is a matrix and k is a vector, the
function processes each column of x through the lattice filter
specified by k.

If x is a vector and k is a matrix, the
function uses each column of k to filter x
and returns a matrix.

If x and k are both matrices with the
same number of columns, then the function uses the ith column
of k to filter the ith column of
x and returns a matrix.

g — Backward lattice filter vector | matrix

Backward lattice filter, returned as a vector or matrix.

zf — Final conditions vector | matrix

Final conditions of the lattice states, returned as a vector or matrix. If
zf is a vector, then it has the same length as
k. If zf is a matrix, then each column has a
length equal to the length of k. zf returns
the final conditions in columns, regardless of the shape of
x.

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