# Examples

This section demonstrates various use cases of the `pysampled` package with visual examples. Each example showcases a specific functionality, and includes plots generated directly from the code. In the plots, the x-axis represents time (in seconds).

## 1 - One-liner
The following example computes the magnitude of a 3-axis accelerometer signal, thresholds the signal, and vidualizes the first two seconds of the result.

```python
(sampled.generate_signal("accelerometer").magnitude() > 1.4)[:2.].plot()
```

**Plot Output:**

```{eval-rst}
.. image:: _static/example_1_plot.png
   :alt: Accelerometer Magnitude Threshold Plot
```

---

## 2 - Compute and Visualize Accelerometer Magnitude

A different implementation of example 1.

```python
acc = sampled.generate_signal("accelerometer")[2.5:6.] # 2.5 to 6 s
ax = sampled.plot([acc.magnitude(), acc.magnitude() > 1.4])
```

**Plot Output:**

```{eval-rst}
.. image:: _static/example_2_plot.png
   :alt: Accelerometer Magnitude Threshold Plot
```

---

## Example 3 - Magnitude Calculation with Smoothing

In this example, we compute the magnitude, remove the DC offset, and apply a moving average filter.

```python
acc = sampled.generate_signal("accelerometer")
sampled.plot([
    acc.magnitude(),
    acc.magnitude().shift_baseline(),
    acc.magnitude().shift_baseline().smooth(0.16)
])
```

**Plot Output:**

```{eval-rst}
.. image:: _static/example_3_plot.png
   :alt: Magnitude Calculation with Smoothing Plot
```

---

## Example 4 - Removing Noise and Interpolating

This example generates white noise data, removes data in specified ranges, and interpolates the result.

```python
wn = sampled.generate_signal("white_noise")
sampled.plot([
    wn,
    wn.remove_and_interpolate([[0.5, 1], [4, 4.2]])
])
```

**Plot Output:**

```{eval-rst}
.. image:: _static/example_4_plot.png
   :alt: Noise Removal and Interpolation Plot
```

---

## Example 5 - Visualizing the Power spectral density

In this example, we generate white noise data, apply a low-pass filter, and visualize both signals in the frequency domain.

```python
import matplotlib.pyplot as plt
wn = sampled.generate_signal("white_noise")
wn_lowpass = wn.lowpass(4)

figure, (ax1, ax2) = plt.subplots(2, 1)
sampled.plot([wn, wn_lowpass], ax=ax1)
ax1.set_xlabel("Time (s)")

sampled.plot([wn.psd_as_sampled(), wn_lowpass.psd_as_sampled()], ax=ax2)
ax2.set_xlabel("Frequency (Hz)")
figure.tight_layout()
plt.draw()
```

**Plot Output:**

```{eval-rst}
.. image:: _static/example_5_plot.png
   :alt: Fourier Transform Plot
```