5.3
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@@ -253,8 +253,8 @@ C_{apply\_fir\_filter} = N + 12 \\
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C_{update\_output} = 1 \\
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\label{equation_c_4}
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C_{update\_filter\_coefficient} = \frac{1}{U}(6*N + 8)\\
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C_{write\_output} = 5 \\
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\label{equation_c_5}
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C_{write\_output} = 5 \\
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\end{gather}
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\noindent By inserting the sub-function costs into the total computing effort formula, Equation \ref{equation_computing} can now be expressed as:
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\begin{equation}
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@@ -262,6 +262,11 @@ C_{write\_output} = 5 \\
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C_{total} = N + \frac{6*N+8}{U} + 34
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\end{equation}
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Equation \ref{equation_computing_final} now provides an estimation of the necessary computing effort for one output sample in relation to the filter length $N$ and the update rate of the filter coefficients $1/U$. This formula can now be used to estimate the needed computing power (and therefore the power consumption) of the \ac{DSP} core for different parameter settings, alowing to find an optimal parameter configuration in regard of the quality of the noise reduction and the power consumption of the system.
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\begin{figure}[H]
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\centering
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\includegraphics[width=1.0\linewidth]{Bilder/fig_c_total.png}
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\caption{Dependence of the total computing effort on the filter length $N$ and update rate $1/U$.}
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\label{fig:fig_c_total.png}
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\end{figure}
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