Stem plot of damped sinusoid

Python Code

"""DSP — Stem plot of damped sinusoid."""


import numpy as np
import plotly.graph_objects as go


def generate():
    n = np.arange(50)
    y = np.exp(-0.1 * n) * np.sin(2 * np.pi * n / 10)

    # Build None-separated stems for efficiency
    x_stems = []
    y_stems = []
    for i, yi in zip(n, y):
        x_stems += [i, i, None]
        y_stems += [0, yi, None]

    fig = go.Figure()

    # Baseline
    fig.add_trace(go.Scatter(
        x=[0, 49], y=[0, 0],
        mode="lines",
        line=dict(color=GRID, width=1, dash="dot"),
        showlegend=False,
        hoverinfo="skip",
    ))

    # Stems
    fig.add_trace(go.Scatter(
        x=x_stems, y=y_stems,
        mode="lines",
        name="Stems",
        line=dict(color=VIOLET, width=1.5),
        hoverinfo="skip",
        showlegend=False,
    ))

    # Lollipop heads
    fig.add_trace(go.Scatter(
        x=n, y=y,
        mode="markers",
        name="x[n]",
        marker=dict(size=8, color=VIOLET),
        hovertemplate="n=%{x}, x[n]=%{y:.4f}<extra></extra>",
    ))

    fig.update_layout(
        xaxis=dict(title="n (samples)"),
        yaxis=dict(title="Amplitude"),
        legend=dict(orientation="h", y=1.08),
        margin=dict(t=40, b=60, l=70, r=40),
        height=460,
    )
    return fig


if __name__ == "__main__":
    generate()

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