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ecg signal processing with fir digital filter by ... - Euroasiapub.org

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IJREAS Volume 2, Issue 8 (August 2012) ISSN: 2249-3905<br />

feedback (a recursive part of a <strong>filter</strong>), even though recursive algorithms can be used for FIR<br />

<strong>filter</strong> realization.<br />

(a) Algorithm<br />

Where h(n) impulse response of the ideal <strong>filter</strong> and ω(n) denotes the window.<br />

(b) Che<strong>by</strong>shevs Window Function<br />

The Che<strong>by</strong>shev window minimizes the Che<strong>by</strong>shev norm of the side lobes for a main- lobe<br />

width 2ω c. The optimal Dolph-Che<strong>by</strong>shev window transform can be written in close form as<br />

The zero- phase Dolph – Che<strong>by</strong>shev window, ω(n), is then computed as the inverse DFT of<br />

. The α parameter control the side lobe level via the given formula<br />

Thus, α = 2 gives side lobes which are 40db below the main lobe peak. Since the side lobes<br />

of the Che<strong>by</strong>shev window transform are equal height, they are often called “ripple in the<br />

stop-band”(the window transform as a low pass <strong>filter</strong> frequency response).<br />

International Journal of Research in Engineering & Applied Sciences 41<br />

http://www.euroasiapub.<strong>org</strong>

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