FIR Filters (Finite Impulse Response Filters)

Finite Impulse Response (FIR) filters are digital tools used to modify signals, such as audio or data streams. They work by taking a series of input values, multiplying each by specific weights (coefficients), and then summing these results to produce an output. Because they only rely on a finite number of past inputs, their response to a single impulse (a sudden spike) lasts for a limited time, hence "finite impulse response." FIR filters are valued for their stability and precise control over filtering characteristics, making them fundamental in signal processing applications like audio enhancement, data smoothing, and communications.