Sine bell and squared Sine bell window multiplication

In this example, we use sine bell or squared sine bell window multiplication to apodize a NMR signal in the time domain.

Requires the official spectrochempy-nmr plugin. Install with: pip install spectrochempy[nmr].

import spectrochempy as scp

DATADIR = scp.preferences.datadir
path = DATADIR / "nmrdata" / "bruker" / "tests" / "nmr" / "topspin_1d"
dataset1D = scp.nmr.read(path, expno=1, remove_digital_filter=True)
dataset1D
NDDataset [topspin_1d expno:1 procno:1 (FID)] — complex128, size: 12411, count
name
:
topspin_1d expno:1 procno:1 (FID)
author
:
runner@runnervm5mmn9
created
:
2026-07-10 21:25:26+00:00
history
:
2026-07-10 21:25:26+00:00> Imported from TopSpin dataset
Data
title
:
intensity
values
:
R[ 1078 2284 ... 0.2342 -0.1008] countI[ -1037 -2200 ... 0.06203 -0.05273] count
size
:
12411 (complex)
Dimension `x`
size
:
12411
title
:
F1 acquisition time
coordinates
:
[ 0 4 ... 4.964e+04 4.964e+04] µs


Normalize the dataset values and reduce the time domain

dataset1D /= dataset1D.real.data.max()  # normalize
dataset1D = dataset1D[0.0:15000.0]

Apply Sine bell window apodization with parameter ssb=2, which correspond to a cosine function

new1, curve1 = scp.sinm(dataset1D, ssb=2, retapod=True, inplace=False)

this is equivalent to

new1, curve1 = dataset1D.sinm(ssb=2, retapod=True, inplace=False)

or also

new1, curve1 = scp.sp(dataset1D, ssb=2, pow=1, retapod=True, inplace=False)

Apply Sine bell window apodization with parameter ssb=2, which correspond to a sine function

new2, curve2 = dataset1D.sinm(ssb=1, retapod=True, inplace=False)

Apply Squared Sine bell window apodization with parameter ssb=1 and ssb=2

new3, curve3 = scp.qsin(dataset1D, ssb=2, retapod=True, inplace=False)
new4, curve4 = dataset1D.qsin(ssb=1, retapod=True, inplace=False)

Apply shifted Sine bell window apodization with parameter ssb=8 (mixed sine/cosine window)

new5, curve5 = dataset1D.sinm(ssb=8, retapod=True, inplace=False)

Plotting

_ = dataset1D.plot(zlim=(-2, 2), color="k")
_ = curve1.plot(color="r", clear=False)
_ = new1.plot(
    data_only=True, color="r", clear=False, label=" sinm with ssb= 2 (cosine window)"
)
_ = curve2.plot(color="b", clear=False)
_ = new2.plot(
    data_only=True, color="b", clear=False, label=" sinm with ssb= 1 (sine window)"
)
_ = curve3.plot(color="m", clear=False)
_ = new3.plot(data_only=True, color="m", clear=False, label=" qsin with ssb= 2")
_ = curve4.plot(color="g", clear=False)
_ = new4.plot(data_only=True, color="g", clear=False, label=" qsin with ssb= 1")
_ = curve5.plot(color="c", ls="--", clear=False)
_ = new5.plot(
    data_only=True,
    color="c",
    ls="--",
    clear=False,
    label=" sinm with ssb= 8",
    legend="best",
)
plot proc sp

This ends the example ! The following line can be uncommented if no plot shows when running the .py script with python scp.show() sphinx_gallery_thumbnail_number = -1

Total running time of the script: (0 minutes 0.411 seconds)