A stable, causal FIR filter has its poles lying anywhere inside the unit circle in the z plane :Select one:TrueFalse

Answer

The statement is False.

In digital signal processing, a Finite Impulse Response (FIR) filter is characterized by having a finite number of non-zero coefficients, which results in it having no poles. FIR filters can generally be designed to be stable and causal without concern for pole locations since they inherently do not have poles located outside the unit circle or anywhere else. Stability in FIR filters is guaranteed because their impulse response is finite. Therefore, the presence of poles does not apply in the case of FIR filters.

In contrast, Infinite Impulse Response (IIR) filters do have poles, and their stability requires that all poles lie within the unit circle. However, this does not apply to FIR filters. Thus, the correct answer is False.