math_functions (pmrf.math_functions)

Math functions.

Functions

complex_2_magnitude(z)	Return the magnitude of the complex argument.
complex_2_db(z)	Return the magnitude in dB of a complex number (as \(20\log_{10}(|z|)\)).
complex_2_db10(z)	Return the magnitude in dB of a complex number (as \(10\log_{10}(|z|)\)).
complex_2_radian(z)	Return the angle complex argument in radian.
complex_2_degree(z)	Returns the angle complex argument in degrees.
complex_2_quadrature(z)	Take a complex number and returns quadrature, which is (length, arc-length from real axis).
complex_2_reim(z)	Return real and imaginary parts of a complex number.
complex_components(z)	Break up a complex array into all possible scalar components.
magnitude_2_db(z[, zero_nan])	Convert linear magnitude to dB.
mag_2_db(x)	Convert magnitude to decibels.
mag_2_db10(z[, zero_nan])	Convert linear magnitude to dB (factor 10).
db_2_magnitude(z)	Convert dB to linear magnitude.
db_2_mag(x)	Convert decibels to magnitude.
db10_2_mag(z)	Convert dB (factor 10) to linear magnitude.
magdeg_2_reim(mag, deg)	Convert linear magnitude and phase (in deg) arrays into a complex array.
dbdeg_2_reim(db, deg)	Convert dB magnitude and phase (in deg) arrays into a complex array.
db_2_np(db)	Convert a value in decibel (dB) to neper (Np).
np_2_db(x)	Convert a value in Nepers (Np) to decibel (dB).
radian_2_degree(rad)	Convert angles from radians to degrees.
degree_2_radian(deg)	Convert angles from degrees to radians.
feet_2_meter([feet])	Convert length in feet to meter.
meter_2_feet([meter])	Convert length in meter to feet.
db_per_100feet_2_db_per_100meter([...])	Convert attenuation values given in dB/100ft to dB/100m.
unwrap_rad(phi)	Unwrap a phase given in radians.
sqrt_known_sign(z_squared, z_approx)	Return the square root of a complex number, with sign chosen to match z_approx.
find_correct_sign(z1, z2, z_approx)	Create new vector from z1, z2 choosing elements with sign matching z_approx.
find_closest(z1, z2, z_approx)	Return z1 or z2 depending on which is closer to z_approx.
sqrt_phase_unwrap(z)	Take the square root of a complex number with unwrapped phase.
dirac_delta(x)	Calculate Dirac function.
neuman(x)	Calculate Neumans number.
null(A[, eps])	Calculate the null space of matrix A.
inf_to_num(x)	Convert inf and -inf's to large numbers.
cross_ratio(a, b, c, d)	Calculate the cross ratio of a quadruple of distinct points on the real line.
complexify(f[, name])	Make a function f(scalar) into f(complex).
complex2Scalar(z)	Serialize a list/array of complex numbers.
scalar2Complex(s)	Unserialize a list/array of real and imag numbers into a complex array.
multiply_by(x, by[, axis])	Broadcast multiply array x by array by along a specified axis.
sum_every(x, n[, axis])	Sum blocks of size n along a specified axis.
multiply_every(x, n[, axis])	Multiply blocks of size n along a specified axis.
convolve_interleaved(x[, axis])	Convolve interleaved signals (e.g. real/imag parts stored sequentially).
rms(x)	Calculate the Root Mean Square (RMS) of the input.
polar_2_rect(radii, angles[, deg])	Convert polar coordinates to rectangular (complex) coordinates.
rect_2_polar(x[, deg])	Convert rectangular (complex) coordinates to polar coordinates.
rsolve(A, B)	Solves x @ A = B.
nudge_eig(mat[, cond, min_eig])	Nudge eigenvalues with absolute value smaller than max(cond * max(eigenvalue), min_eig) to that value.
nudge_svd(mat[, cond, min_val])	Nudge small singular values to avoid singularities using SVD.
nudge_diag(mat[, eps])	Stabilize matrix inversion by adding a tiny epsilon to the diagonal.
round_sig(x[, sig])	Round to a specific number of significant digits.
comb(N, k[, exact, repetition])	The number of combinations of N things taken k at a time.
evaluate_power_basis(x, coeffs, lower_bound, ...)	Evaluate a polynomial in the power basis.
evaluate_bernstein_basis(x, coeffs, ...)	Evaluate a polynomial in the Bernstein basis.
broaden(key, x[, percentage])	Broaden data using gaussian noise by a specified percentage.
conv_inter(x[, axis])	Convolve interleaved signals (e.g. real/imag parts stored sequentially).
dB20(x)	Convert magnitude to decibels.
conv_cost(x)