FIR filter gain

1. What is the gain of a FIR filter?
2. What is the output of FIR filter?
3. What is FIR filter coefficient?
4. How do you normalize a FIR filter?

What is the gain of a FIR filter?

4 What is the DC gain of a FIR filter? Consider a DC (zero Hz) input signal consisting of samples which each have value 1.0. After the FIR's delay line had filled with the 1.0 samples, the output would be the sum of the coefficients. Therefore, the gain of a FIR filter at DC is simply the sum of the coefficients.

What is the output of FIR filter?

In other words if you put an “impulse” into a FIR filter which consists of a “1” sample followed by a large number of “0” samples, the output of the filter will be simply the set of coefficients, as the 1 valued sample moves past each coefficient in turn to form the output.

What is FIR filter coefficient?

The term h[k] is the impulse response of the FIR filter, it is also referred to as FIR coefficients. Each tap in an FIR filter is a multiply-accumulate (MAC) unit which contains a register, a multiplier, and an adder as shown in Figure 1.

How do you normalize a FIR filter?

The coefficients are then normalized by dividing by the sum of the coefficients themselves. This is done in order to have a DC gain equal to 1 (0 dB). At this point the FIR filter is a low pass filter. By negating every other coefficient, the FIR filter becomes a high pass filter.