Phase wrap when computing impulse response from frequency response [closed]

1. How do you find the phase of impulse response?
2. What is the relationship between impulse response and frequency response?
3. How do you find the phase response of a FIR filter?
4. What does the phase response of the filter depicts?

How do you find the phase of impulse response?

To obtain the phase response, we take the arctan of the numerator, and subtract from it the arctan of the denominator.

What is the relationship between impulse response and frequency response?

The relationship between the impulse response and the frequency response is one of the foundations of signal processing: A system's frequency response is the Fourier Transform of its impulse response.

How do you find the phase response of a 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 does the phase response of the filter depicts?

In signal processing, phase response is the relationship between the phase of a sinusoidal input and the output signal passing through any device that accepts input and produces an output signal, such as an amplifier or a filter.