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Nonrecursive filter
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a nonrecursive filter only uses input values like x[n − 1], unlike recursive <a href="/facts/Filter_(mathematics)/7f3zk55u">filter</a> where it uses previous output values like y[n − 1]. </p><p>In <a href="/facts/Signal_processing/Npaja6zb">signal processing</a>, non-recursive <a href="/facts/Digital_filter/2wcxCRdh">digital filters</a> are often known as Finite Impulse Response (FIR) filters, as a non-recursive digital filter has a finite number of coefficients in the impulse response h[n]. </p><p>Examples: </p> <ul><li>Non-recursive filter: y[n] = 0.5x[n − 1] + 0.5x[n]</li> <li>Recursive filter: y[n] = 0.5y[n − 1] + 0.5x[n]</li></ul> <p> An important property of non-recursive filters is, that they will always be stable. This is not always the case for recursive filters. </p>