The location of poles in FIR filter is at
z=0
z=∞
z=1
z=−1
The location of poles in a Finite Impulse Response (FIR) filter is at z=0.
To explain how to determine the locations of poles in a FIR filter, we need to understand what poles are in the context of digital filters. In the z-domain, which is the domain of digital filters, the transfer function of a filter is represented as a polynomial ratio of z. The zeros of this polynomial are the values of z that make the numerator of the transfer function equal to zero, while the poles are the values of z that make the denominator of the transfer function equal to zero.
In the case of a FIR filter, the denominator of the transfer function is always 1, because FIR filters have only a numerator term. Thus, the location of poles is determined by the values of z that make the numerator of the transfer function equal to zero.
For a FIR filter, the numerator is typically a polynomial with no variable z, meaning it does not depend on z. In other words, the numerator is a constant value. Since a constant value can never be equal to zero, there are no poles in the z-plane for a FIR filter.
Therefore, there are no poles in a FIR filter. The given options: z=0, z=∞, z=1, and z=-1, do not represent pole locations in a FIR filter.