Phase

FIR filters always linear?

FIR filters always linear?

FIR filters are usually designed to be linear-phase (but they don't have to be.) A FIR filter is linear-phase if (and only if) its coefficients are symmetrical around the center coefficient, that is, the first coefficient is the same as the last; the second is the same as the next-to-last, etc.

  1. Why FIR filter is linear?
  2. Which type of FIR filters have linear phase?
  3. Which has linear phase IIR or FIR filters?

Why FIR filter is linear?

The FIR filters have a phase response that traces out a straight line. Both of these FIR filters exhibit linear phase [1][2]. This means that those sinusoidal components are given a constant phase shift and that the phase shift is constant relative to each frequency.

Which type of FIR filters have linear phase?

FIR I and FIR II Types

Again, this system has linear phase (the quantity inside the parenthesis is a real quantity) and the phase delay is M/2 samples.

Which has linear phase IIR or FIR filters?

FIR can have a linear phase response. That means that the phase is a linear function of the frequency. This property occurs when the FIR filters have a symmetric impulse response. In contrast, IIR filters have a non-linear phase response.

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