*Question E7F12:
Which of the following is generally true of Finite Impulse Response (FIR) filters?*  

*Correct Answer is  A: FIR filters can delay all frequency components of the signal by the same amount*  

### AI Response: (may contain errors)  

Finite Impulse Response (FIR) filters are a type of digital filter used in signal processing. Let's break down the options to understand why the correct answer is correct and why the others are not.

### Correct Answer: A
- **FIR filters can delay all frequency components of the signal by the same amount**: This is true because FIR filters have a linear phase response. A linear phase response means that all frequency components of the input signal are delayed by the same amount of time, which preserves the waveform shape of the signal. This is a key characteristic of FIR filters and is often a reason they are chosen for applications where phase linearity is important.

### Incorrect Answers:
- **B: FIR filters are easier to implement for a given set of passband rolloff requirements**: This is not generally true. FIR filters can require a higher order (more coefficients) than Infinite Impulse Response (IIR) filters to achieve the same level of performance in terms of passband rolloff. This can make them more complex and computationally intensive to implement.

- **C: FIR filters can respond faster to impulses**: FIR filters do not necessarily respond faster to impulses. The response time of a filter is related to its order and design, and FIR filters, due to their potentially higher order, might not respond faster than IIR filters.

- **D: All these choices are correct**: Since B and C are incorrect, this option is also incorrect.

### Key Points:
- **Linear Phase**: FIR filters maintain a linear phase, which is crucial for applications requiring phase integrity.
- **Complexity**: FIR filters can be more complex to implement due to potentially higher order requirements compared to IIR filters.
- **Impulse Response**: The name "Finite Impulse Response" refers to the fact that the impulse response of the filter settles to zero in a finite amount of time, but this does not imply a faster response to impulses compared to other filter types.

Understanding these characteristics helps in choosing the right filter type for specific applications in signal processing.