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Authored by jfriedt
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Merge branch 'master' of https://lxsd.femto-st.fr/gitlab/jfriedt/ifcs2018-article

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ifcs2018_proceeding.tex
... ... @@ -119,7 +119,7 @@
119 119 \begin{figure}[h!tb]
120 120 \includegraphics[width=\linewidth]{images/demo_filtre}
121 121 \caption{Impact of the quantization resolution of the coefficients: the quantization is
122   -set to 6~bits -- with the horizontal black lines indicating $\pm$1 least significant bit -- setting
  122 +set to 6~bits -- with the horizontal black lines indicating $\pm$1 least significant bit -- setting
123 123 the 30~first and 30~last coefficients out of the initial 128~band-pass
124 124 filter coefficients to 0 (red dots).}
125 125 \label{float_vs_int}
... ... @@ -187,7 +187,7 @@
187 187 \begin{figure}[h!tb]
188 188 \begin{center}
189 189 \includegraphics[width=.5\linewidth]{schema2}
190   -\caption{Shape of the filter transmitted power $P$ as a function of frequency:
  190 +\caption{Shape of the filter transmitted power $P$ as a function of frequency:
191 191 the bandpass BP is considered to occupy the initial
192 192 40\% of the Nyquist frequency range, the stopband the last 40\%, allowing 20\% transition
193 193 width.}
194 194  
... ... @@ -207,11 +207,11 @@
207 207 To explain the system \ref{model-FIR}, $\mathcal{R}_i$ represents the rejection of depending on $N_i$ and $C_i$, $\mathcal{A}$
208 208 is a theoretical area occupation of the processing block on the FPGA, and $\Delta_i$ is the total rejection for the current stage $i$.
209 209 Since the function $\mathcal{F}$ cannot be explictly expressed, we run simulations to determine the rejection depending
210   -on $N_i$ and $C_i$. However, selecting the right filter requires a clear definition of the rejection criterion. Selecting an
211   -incorrect criterion will lead the linear program solver to produce a solution which might not meet the user requirements.
  210 +on $N_i$ and $C_i$. However, selecting the right filter requires a clear definition of the rejection criterion. Selecting an
  211 +incorrect criterion will lead the linear program solver to produce a solution which might not meet the user requirements.
212 212 Hence, amongst various criteria including the mean or median value of the FIR response in the stopband as will
213 213 be illustrated lated (section \ref{median}), we have designed
214   -a criterion aimed at avoiding ripples in the passband and considering the maximum of the FIR spectral response in the stopband
  214 +a criterion aimed at avoiding ripples in the passband and considering the maximum of the FIR spectral response in the stopband
215 215 (Fig. \ref{rejection-shape}). The bandpass criterion is defined as the sum of the absolute values of the spectral response
216 216 in the bandpass, reminiscent of a standard deviation of the spectral response: this criterion must be minimized to avoid
217 217 ripples in the passband. The stopband transfer function maximum must also be minimized in order to improve the filter
... ... @@ -349,7 +349,7 @@
349 349 in these cases, are shown in Figs. \ref{compare-mean} and \ref{compare-median}.
350 350  
351 351 \begin{figure}[h!tb]
352   -\includegraphics[width=\linewidth]{images/fir-mono-vs-fir-series-noise-fixe-mean.pdf}
  352 +\includegraphics[width=\linewidth]{images/fir-mono-vs-fir-series-noise-fixe-mean-light.pdf}
353 353 \caption{Comparison of the rejection capability between a series of FIR and a monolithic FIR
354 354 with a cutoff frequency set at half the Nyquist frequency.}
355 355 \label{compare-mean}
... ... @@ -367,7 +367,7 @@
367 367 selected earlier (Fig. \ref{compare-fir}).
368 368  
369 369 \begin{figure}[h!tb]
370   -\includegraphics[width=\linewidth]{images/fir-mono-vs-fir-series-noise-fixe-median.pdf}
  370 +\includegraphics[width=\linewidth]{images/fir-mono-vs-fir-series-noise-fixe-median-light.pdf}
371 371 \caption{Comparison of the rejection capability between a series of FIR and a monolithic FIR
372 372 with a cutoff frequency set at half the Nyquist frequency.}
373 373 \label{compare-median}
images/fir-mono-vs-fir-series-noise-fixe-mean-light.pdf
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images/fir-mono-vs-fir-series-noise-fixe-median-light.pdf
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