pylops.signalprocessing.ChirpRadon2D#

class pylops.signalprocessing.ChirpRadon2D(*args, **kwargs)[source]#

2D Chirp Radon transform

Apply Radon forward (and adjoint) transform using Fast Fourier Transform and Chirp functions to a 2-dimensional array of size \([n_x \times n_t]\) (both in forward and adjoint mode).

Note that forward and adjoint are swapped compared to the time-space implementation in pylops.signalprocessing.Radon2D and a direct inverse method is also available for this implementation.

Parameters
taxisnp.ndarray

Time axis

haxisnp.ndarray

Spatial axis

pmaxnp.ndarray

Maximum slope defined as \(\tan\) of maximum stacking angle in \(x\) direction \(p_\text{max} = \tan(\alpha_{x, \text{max}})\). If one operates in terms of minimum velocity \(c_0\), set \(p_{x, \text{max}}=c_0 \,\mathrm{d}y/\mathrm{d}t\).

dtypestr, optional

Type of elements in input array.

namestr, optional

New in version 2.0.0.

Name of operator (to be used by pylops.utils.describe.describe)

Notes

Refer to [1] for the theoretical and implementation details.

1

Andersson, F and Robertsson J. “Fast \(\tau-p\) transforms by chirp modulation”, Geophysics, vol 84, NO.1, pp. A13-A17, 2019.

Attributes
shapetuple

Operator shape

explicitbool

Operator contains a matrix that can be solved explicitly (True) or not (False)

Methods

__init__(taxis, haxis, pmax[, dtype, name])

Initialize this LinearOperator.

adjoint()

Hermitian adjoint.

apply_columns(cols)

Apply subset of columns of operator

cond([uselobpcg])

Condition number of linear operator.

conj()

Complex conjugate operator

div(y[, niter, densesolver])

Solve the linear problem \(\mathbf{y}=\mathbf{A}\mathbf{x}\).

dot(x)

Matrix-matrix or matrix-vector multiplication.

eigs([neigs, symmetric, niter, uselobpcg])

Most significant eigenvalues of linear operator.

inverse(x)

matmat(X)

Matrix-matrix multiplication.

matvec(x)

Matrix-vector multiplication.

reset_count()

Reset counters

rmatmat(X)

Matrix-matrix multiplication.

rmatvec(x)

Adjoint matrix-vector multiplication.

todense([backend])

Return dense matrix.

toimag([forw, adj])

Imag operator

toreal([forw, adj])

Real operator

tosparse()

Return sparse matrix.

trace([neval, method, backend])

Trace of linear operator.

transpose()

Transpose this linear operator.

Examples using pylops.signalprocessing.ChirpRadon2D#

Chirp Radon Transform

Chirp Radon Transform

Chirp Radon Transform