FIR Filter Quiz
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Questions and Answers

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?

  • $N + 1$ samples (correct)
  • $N - 1$ samples
  • $N$ samples
  • $2N$ samples
  • What is the output sequence of a causal discrete-time FIR filter of order N?

  • $y[n] = b_0 x[n] + b_1 x[n-1] + \dots + b_N x[n-N]$ (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?

    <p>Infinite impulse response (IIR) filter</p> Signup and view all the answers

    Can FIR filters be discrete-time and continuous-time, as well as digital and analog?

    <p>Yes</p> Signup and view all the answers

    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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    Description

    Test your knowledge of finite impulse response (FIR) filters with this quiz. Explore the key concepts and differences between FIR and infinite impulse response (IIR) filters.

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