| Optimizing FIR Approximation for Discrete-Time IIR Filters (2009) | |||||||||||||||
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| Abstract—Finite-impulse response (FIR) filters are often preferred to infinite-impulse response (IIR) filters because of their various advantages in respect of stability, phase characteristic, implementation, etc. This letter proposes a new method to approximate an IIR filter by an FIR filter, which directly yields an optimal approximation with respect to the error norm. We show that this design problem can be reduced to a linear matrix inequality. We will also make a comparison via a numerical example with an existing method, known as the Nehari shuffle. Index Terms—Finite-impulse response (FIR) filter approximation, optimization, linear matrix inequality. I. | |||||||||||||||
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