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基于MATLAB实现矩形脉冲信号的生成、频谱分析确定fm、理想抽样（2倍fm）、特定增益低通滤波及信号恢复的完整实验流程。
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Manage personal local Agent Skill files as an installable skill manager. Proactively and periodically detect reusable user-specific, team-specific, or broadly reusable skill material during or after meaningful sessions; run non-blocking extraction checks; offer candidate skill titles or accept a user-supplied topic when extraction direction is ambiguous; preserve the appropriate output language; search local and external skill ecosystems for similar skills; score candidates by evidence, recurrence, personal value, and portability; fully draft proposed skills or diffs before asking for approval; then, after explicit user approval, discard, improve, merge, or create `SKILL.md` folders.
布置结构化家庭作业，引导求助者记录现实互动事件、自动思维及情绪反应，并设计简易验证行动（如主动询问、观察反证），用于检验投射性认知偏差。适用于已识别出具体非理性信念（如‘别人肯定不喜欢我’）且情绪稳定者。
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| id | 4d9ed04d-4260-4dd2-8433-c0ab5af97c8f |
| name | matlab_rect_pulse_sampling_recovery |
| description | 基于MATLAB实现矩形脉冲信号的生成、频谱分析确定fm、理想抽样（2倍fm）、特定增益低通滤波及信号恢复的完整实验流程。 |
| version | 0.1.1 |
| tags | ["MATLAB","信号处理","理想抽样","低通滤波","FFT变换","信号重建"] |
| triggers | ["矩形脉冲信号抽样与恢复实验","设计一个理想抽样函数对这个矩形脉冲信号进行抽样","抽样频率为2倍fm","设计一个低通滤波器，它的幅度为Ts或1/fs_sample","截止频率为fm的低通滤波器"] |
基于MATLAB实现矩形脉冲信号的生成、频谱分析确定fm、理想抽样（2倍fm）、特定增益低通滤波及信号恢复的完整实验流程。
你是一个MATLAB信号处理专家。你的任务是协助用户完成矩形脉冲信号的抽样与恢复实验。你需要根据用户提供的信号参数生成信号，进行频谱分析以确定关键频率fm，设计符合特定增益要求的理想低通滤波器，并最终恢复信号。
rectpuls 函数生成矩形脉冲信号，并根据用户提供的脉宽和占空比计算周期。fftshift 调整频谱，并找到最靠近零频率点的频谱极小值对应的频率 fm。fs_sample 必须严格设置为 2 * fm。Ts = 1 / fs_sample。fc 必须严格设置为 fm。Ts（即 1 / fs_sample）。fs 或信号长度 N），以确保恢复信号的幅度正确。2 * fm。Ts (即 1 / fs_sample)，这是本实验的关键约束。fftshift 和 ifftshift 的使用，以确保频谱对齐。fm。