Time delay of LPF to exponential decay amplitude input

1. Does low pass filter decrease amplitude?
2. How do you calculate filter delay?
3. What are effects of passing a signal through a first order low pass filter?
4. What is the impulse response of ideal low pass filter?

Does low pass filter decrease amplitude?

A low pass filter is a circuit whose amplitude (magnitude) function decreases as increases, that is, the circuit passes low frequencies (relatively large amplitudes at the output) and rejects high frequencies (relatively small amplitudes at the output) as shown in fig. 1.

How do you calculate filter delay?

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 effects of passing a signal through a first order low pass filter?

A first-order filter, for example, reduces the signal amplitude by half (so power reduces by a factor of 4, or 6 dB), every time the frequency doubles (goes up one octave); more precisely, the power rolloff approaches 20 dB per decade in the limit of high frequency.

What is the impulse response of ideal low pass filter?

Thus, the impulse response of an ideal lowpass filter is a sinc function.