3. BIBO Stable ? (1) yıt) = sin t. fit) (2) y Tk] = k-fCk] %3D 4. Causal system ? (1) y(t) = 5f(t+27 (2) YCR1+ yCと-17- k] [1+12 = %3D

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**BIBO Stability and Causality Analysis**

**3. BIBO Stable?**

(1) \( y(t) = \sin t \cdot f(t) \)

(2) \( y[k] = k \cdot f[k] \)

**4. Causal System?**

(1) \( y(t) = 5 \cdot f(t + 2) \)

(2) \( y[k] + y[k-1] = x[k+1] \)

**Explanation:**

- **BIBO Stability:** Bounded Input, Bounded Output (BIBO) stability is a concept in signal processing that examines whether a system produces a bounded output when a bounded input is applied.

- **Causal System:** A causal system is one where the output at any time depends only on present and past inputs, not future ones. In other words, systems that are non-predictive based on the input.

The equations above explore whether the functions or systems presented are BIBO stable and causal.
Transcribed Image Text:**BIBO Stability and Causality Analysis** **3. BIBO Stable?** (1) \( y(t) = \sin t \cdot f(t) \) (2) \( y[k] = k \cdot f[k] \) **4. Causal System?** (1) \( y(t) = 5 \cdot f(t + 2) \) (2) \( y[k] + y[k-1] = x[k+1] \) **Explanation:** - **BIBO Stability:** Bounded Input, Bounded Output (BIBO) stability is a concept in signal processing that examines whether a system produces a bounded output when a bounded input is applied. - **Causal System:** A causal system is one where the output at any time depends only on present and past inputs, not future ones. In other words, systems that are non-predictive based on the input. The equations above explore whether the functions or systems presented are BIBO stable and causal.
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