Ideal

Transient cancellation in non causal filtering

Transient cancellation in non causal filtering
  1. Why ideal filters are non causal?
  2. Is an ideal low pass filter causal?
  3. What is FIR in digital signal processing?

Why ideal filters are non causal?

Since the filter characteristic H(jω) is an even function, it is typically only shown for ω > 0. Figure A11. 1 shows that h(t) exists for t < 0 whereas the input δ(t) occurs only at t = 0; this indicates that such an ideal filter is a noncausal system.

Is an ideal low pass filter causal?

As a consequence: an ideal filter cannot be causal. Problem: we want to determine a causal Finite Impulse Response (FIR) approximation of the ideal filter.

What is FIR in digital signal processing?

In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration, because it settles to zero in finite time.

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