What is the difference between finite impulse response (FIR) filters and infinite impulse response (IIR) filters in digital signal processing?

The Difference Between Finite Impulse Response (FIR) Filters and Infinite Impulse Response (IIR) Filters

In digital signal processing, the key difference between Finite Impulse Response (FIR) filters and Infinite Impulse Response (IIR) filters lies in the nature of their impulse responses.

Finite Impulse Response (FIR) Filters

FIR filters have a finite impulse response, meaning that their output response to an impulse input will decay to zero in a finite number of samples. This characteristic simplifies the design process and makes FIR filters inherently stable.

Infinite Impulse Response (IIR) Filters

On the other hand, IIR filters have an infinite impulse response, which means that their output response may continue indefinitely after the input has been removed. This feature allows IIR filters to achieve a more compact design compared to FIR filters but can also introduce stability challenges.

Focus Keyword: FIR and IIR filters in digital signal processing

Overall, while FIR filters offer straightforward design and stability, IIR filters provide more efficient implementations at the cost of potential stability issues due to their infinite impulse response nature.