fir filter coefficients calculator


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  • How are FIR filter coefficients calculated?

    The key theorem of FIR filter design is that the coefficients h(n) of the FIR filter are simply the quantized values of the impulse response of the frequency transfer function H(f).
    Conversely, the impulse response is the Fourier Transform of H(f).

  • What is the equation for FIR filter?

    The formula is simple: given a FIR filter which has N taps, the delay is: (N – 1) / (2 * Fs), where Fs is the sampling frequency.
    So, for example, a 21 tap linear-phase FIR filter operating at a 1 kHz rate has delay: (21 – 1) / (2 * 1 kHz)=10 milliseconds.

  • What are the coefficients of a filter?

    The filter coefficients are the coefficients of the difference equation.
    If your filter is an FIR filter, then the filter coefficients are the values of the impulse response.
    If you have an IIR filter, then the filter coefficients are not the same as the impulse response.

  • The numerator coefficients for a low-pass filter can be calculated as follows: b0 = W / α b1 = 2 * W / α b2 = b0.
    The numerator coefficients for a high-pass filter can be calculated as follow: b0 = 1 / α b1 = -2 / α b2 = b0.

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