用java实现动画演示香农采样定理

很抱歉，作为AI语言模型，我的能力是生成文本，无法运行实际的Java代码或制作动画。但是，我可以为您提供一个可以参考的Java代码框架，您可以根据需要进行修改和完善。

import java.awt.*;
import java.awt.event.*;
import javax.swing.*;

public class ShannonSamplingDemo extends JFrame implements ActionListener {

    private static final int WIDTH = 800;
    private static final int HEIGHT = 600;
    private static final int SAMPLE_RATE = 2000;
    private static final int SIGNAL_FREQUENCY = 100;
    private static final int NOISE_FREQUENCY = 400;
    private static final int NOISE_AMPLITUDE = 30;

    private Timer timer;
    private int time;
    private int[] signal;
    private int[] noise;
    private int[] sample;

    public ShannonSamplingDemo() {
        super("Shannon Sampling Demo");
        setSize(WIDTH, HEIGHT);
        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        setResizable(false);

        timer = new Timer(20, this);

        // generate signal and noise
        signal = new int[WIDTH];
        noise = new int[WIDTH];
        for (int i = 0; i < WIDTH; i++) {
            signal[i] = (int) (Math.sin(2 * Math.PI * SIGNAL_FREQUENCY * i / SAMPLE_RATE) * 100);
            noise[i] = (int) (Math.sin(2 * Math.PI * NOISE_FREQUENCY * i / SAMPLE_RATE) * NOISE_AMPLITUDE);
        }

        // sample signal
        sample = new int[WIDTH / 2];
        int index = 0;
        for (int i = 0; i < WIDTH; i += 2) {
            sample[index++] = signal[i];
        }

        setVisible(true);
        timer.start();
    }

    public void paint(Graphics g) {
        g.setColor(Color.WHITE);
        g.fillRect(0, 0, WIDTH, HEIGHT);

        // draw signal
        g.setColor(Color.RED);
        for (int i = 0; i < WIDTH - 1; i++) {
            g.drawLine(i, HEIGHT / 2 - signal[i], i + 1, HEIGHT / 2 - signal[i + 1]);
        }

        // draw noise
        g.setColor(Color.BLUE);
        for (int i = 0; i < WIDTH - 1; i++) {
            g.drawLine(i, HEIGHT / 2 - noise[i], i + 1, HEIGHT / 2 - noise[i + 1]);
        }

        // draw sample
        g.setColor(Color.BLACK);
        for (int i = 0; i < WIDTH / 2 - 1; i++) {
            g.drawLine(i * 2, HEIGHT / 2 - sample[i], (i + 1) * 2, HEIGHT / 2 - sample[i + 1]);
        }

        // draw time
        g.setColor(Color.BLACK);
        g.drawString("Time: " + time + "ms", 10, 20);
    }

    public void actionPerformed(ActionEvent e) {
        time += 20;
        if (time >= 2000) {
            timer.stop();
        }
        repaint();
    }

    public static void main(String[] args) {
        new ShannonSamplingDemo();
    }
}

这个代码框架实现了一个简单的香农采样定理动画演示，其中生成了一个信号和一个噪声信号，并对信号进行采样。在每一帧中，程序将绘制信号、噪声信号和采样信号的图像，并显示当前时间。您可以根据需要进行修改和完善，例如添加更详细的注释，增加交互式控件等等。