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Questions and Answers
What is the defining characteristic of a finite impulse response (FIR) filter?
What is the defining characteristic of a finite impulse response (FIR) filter?
- It has a response that continues indefinitely
- It has internal feedback
- Its impulse response settles to zero in finite time (correct)
- Its impulse response is of infinite duration
How long does the impulse response of an Nth-order discrete-time FIR filter last?
How long does the impulse response of an Nth-order discrete-time FIR filter last?
- $N + 1$ samples (correct)
- $N - 1$ samples
- $N$ samples
- $2N$ samples
What is the output sequence of a causal discrete-time FIR filter of order N?
What is the output sequence of a causal discrete-time FIR filter of order N?
- $y[n] = b_0 x[n] + b_1 x[n-1] + \dots + b_N x[n-N]$ (correct)
- $y[n] = b_N x[n] + b_{N-1} x[n-1] + \dots + b_0 x[n-N]$
- $y[n] = \sum_{i=0}^{N} b_{N-i} \cdot x[n-i]$
- $y[n] = \sum_{i=0}^{N} b_i \cdot x[n-i]$
What type of filter can have internal feedback and continue to respond indefinitely?
What type of filter can have internal feedback and continue to respond indefinitely?
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Can FIR filters be discrete-time and continuous-time, as well as digital and analog?
Can FIR filters be discrete-time and continuous-time, as well as digital and analog?
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Study Notes
Finite Impulse Response (FIR) Filter Characteristics
- The defining characteristic of a finite impulse response (FIR) filter is that it has a finite impulse response.
- The impulse response of an Nth-order discrete-time FIR filter lasts for N+1 samples.
Output Sequence of a Causal Discrete-Time FIR Filter
- The output sequence of a causal discrete-time FIR filter of order N is the sum of the products of the filter coefficients and the corresponding input samples.
Filters with Internal Feedback
- Filters that can have internal feedback and continue to respond indefinitely are infinite impulse response (IIR) filters.
Types of FIR Filters
- FIR filters can be both discrete-time and continuous-time.
- FIR filters can also be both digital and analog.
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