diff --git a/.gitignore b/.gitignore index 820624f..54cd36b 100644 --- a/.gitignore +++ b/.gitignore @@ -24,4 +24,12 @@ ifcs2018_journal.log ifcs2018_journal.out ifcs2018_journal.pdf +ifcs2018_journal_reponse.aux +ifcs2018_journal_reponse.log +ifcs2018_journal_reponse.pdf + +cover.aux +cover.log +cover.pdf + *.bak diff --git a/Makefile b/Makefile index eb66f6e..ef50d89 100644 --- a/Makefile +++ b/Makefile @@ -34,6 +34,10 @@ $(TARGET)_journal: $(TARGET)_journal.tex references.bib biblio.bib $(TEX) $@.tex $(TEX) $@.tex +$(TARGET)_journal_reponse: $(TARGET)_journal_reponse.tex references.bib biblio.bib + $(TEX) $@.tex + $(TEX) $@.tex + clean: rm -f $(TARGET)_abstract.aux $(TARGET)_abstract.log $(TARGET)_abstract.out $(TARGET)_abstract.bbl $(TARGET)_abstract.blg rm -f $(TARGET)_poster.aux $(TARGET)_poster.log $(TARGET)_poster.out diff --git a/ifcs2018_journal.tex b/ifcs2018_journal.tex index 5e9633a..0ad05dd 100644 --- a/ifcs2018_journal.tex +++ b/ifcs2018_journal.tex @@ -23,6 +23,8 @@ \usetikzlibrary{positioning,fit} \usepackage{multirow} \usepackage{scalefnt} +\usepackage{caption} +\usepackage{subcaption} % correct bad hyphenation here \hyphenation{op-tical net-works semi-conduc-tor} @@ -35,8 +37,8 @@ to oscillator metrology} \author{\IEEEauthorblockN{A. Hugeat\IEEEauthorrefmark{1}\IEEEauthorrefmark{2}, J. Bernard\IEEEauthorrefmark{2}, G. Goavec-M\'erou\IEEEauthorrefmark{1}, -P.-Y. Bourgeois\IEEEauthorrefmark{1}, J.-M. Friedt\IEEEauthorrefmark{1}} -\IEEEauthorblockA{\IEEEauthorrefmark{1}FEMTO-ST, Time \& Frequency department, Besan\c con, France } +P.-Y. Bourgeois\IEEEauthorrefmark{1}, J.-M. Friedt\IEEEauthorrefmark{1}}\\ +\IEEEauthorblockA{\IEEEauthorrefmark{1}FEMTO-ST, Time \& Frequency department, Besan\c con, France }\\ \IEEEauthorblockA{\IEEEauthorrefmark{2}FEMTO-ST, Computer Science department DISC, Besan\c con, France \\ Email: \{pyb2,jmfriedt\}@femto-st.fr} } @@ -280,17 +282,20 @@ the stopband the last 40\%, allowing 20\% transition width.} \end{figure} In the transition band, the behavior of the filter is left free, we only care about the passband and the stopband characteristics. -Our initial criterion considered the mean value of the stopband rejection, as shown in figure~\ref{fig:mean_criterion}. This criterion -yields unacceptable results since notches overestimate the rejection capability of the filter. Furthermore, the losses within -the passband are not considered and might be excessive for excessively wide transitions widths introduced for filters with few coefficients. -Such biases are compensated for by the second considered criterion which is based on computing the maximum rejection within the stopband minus the mean of the absolute value of passband rejection. With this criterion, the results are significantly improved as shown in figure~\ref{fig:custom_criterion} and meet the expected rejection capability of low pass filters. - -\begin{figure} -\centering -\includegraphics[width=\linewidth]{images/colored_mean_criterion} -\caption{Mean stopband rejection criterion comparison between monolithic filter and cascaded filters} -\label{fig:mean_criterion} -\end{figure} +% r2.7 +% Our initial criterion considered the mean value of the stopband rejection, as shown in figure~\ref{fig:mean_criterion}. This criterion +% yields unacceptable results since notches overestimate the rejection capability of the filter. Furthermore, the losses within +% the passband are not considered and might be excessive for excessively wide transitions widths introduced for filters with few coefficients. +Our criterion to compute the filter rejection takes +% r2.8 et r2.2 r2.3 +the maximum magnitude within the stopband minus the sum of the absolute value of passband rejection. With this criterion, we meet the expected rejection capability of low pass filters as shown in figure~\ref{fig:custom_criterion}. + +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/colored_mean_criterion} +% \caption{Mean stopband rejection criterion comparison between monolithic filter and cascaded filters} +% \label{fig:mean_criterion} +% \end{figure} \begin{figure} \centering @@ -324,9 +329,11 @@ the previous relation is no longer valid as illustrated on figure~\ref{fig:sum_r are two different filters with maximums and notches not located at the same frequency offsets. Hence when summing the transfer functions, the resulting rejection shown as the dashed yellow line is improved with respect to a basic sum of the rejection criteria shown as a the dotted yellow line. -Thus, estimating the rejection of filter cascades is more complex than takin the sum of all the rejection +% r2.9 +Thus, estimating the rejection of filter cascades is more complex than taking the sum of all the rejection criteria of each filter. However since the this sum underestimates the rejection capability of the cascade, -this upper bound is considered as a pessimistic and acceptable criterion for deciding on the suitability +% r2.10 +this upper bound is considered as a conservative and acceptable criterion for deciding on the suitability of the filter cascade to meet design criteria. \begin{figure} @@ -336,8 +343,14 @@ of the filter cascade to meet design criteria. \label{fig:sum_rejection} \end{figure} +% r2.6 +Finally in our case, we consider that the input signal are fully known. So the +resolution of the data stream are fixed and still the same for all experiments +in this paper. + Based on this analysis, we address the estimate of resource consumption (called -silicon area -- in the case of FPGAs meaning processing cells) as a function of +% r2.11 +silicon area -- in the case of FPGAs this means processing cells) as a function of filter characteristics. As a reminder, we do not aim at matching actual hardware configuration but consider an arbitrary silicon area occupied by each processing function, and will assess after synthesis the adequation of this arbitrary unit with actual @@ -383,7 +396,12 @@ Finally, equation~\ref{eq:init} gives the number of bits of the global input. This model is non-linear and even non-quadratic, as $F$ does not have a known linear or quadratic expression. We introduce $p$ FIR configurations -$(C_{ij}, \pi_{ij}^C), 1 \leq j \leq p$ that are constants. We define binary +$(C_{ij}, \pi_{ij}^C), 1 \leq j \leq p$ that are constants. +% r2.12 +This variable must be defined by the user, it represent the number of different +set of coefficients generated (for memory, we use \texttt{firls} and \texttt{fir1} +functions from GNU Octave). +We define binary variable $\delta_{ij}$ that has value 1 if stage~$i$ is in configuration~$j$ and 0 otherwise. The new equations are as follows: @@ -398,7 +416,10 @@ Equations \ref{eq:areadef2}, \ref{eq:rejectiondef2} and \ref{eq:bits2} replace respectively equations \ref{eq:areadef}, \ref{eq:rejectiondef} and \ref{eq:bits}. Equation~\ref{eq:config} states that for each stage, a single configuration is chosen at most. -This modified model is quadratic, and it can be linearised if necessary. The Gurobi +% r2.13 +This modified model is quadratic since we multiply two variables in the +equation~\ref{eq:areadef2} ($\delta_{ij}$ by $\pi_{ij}^-$) but it can be linearised if necessary. +The Gurobi (\url{www.gurobi.com}) optimization software is used to solve this quadratic model, and since Gurobi is able to linearize, the model is left as is. This model has $O(np)$ variables and $O(n)$ constraints. @@ -602,25 +623,48 @@ Figure~\ref{fig:max_500_result} shows the rejection of the different configurati Figure~\ref{fig:max_1000_result} shows the rejection of the different configurations in the case of MAX/1000. Figure~\ref{fig:max_1500_result} shows the rejection of the different configurations in the case of MAX/1500. +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/max_500} +% \caption{Signal spectrum for MAX/500} +% \label{fig:max_500_result} +% \end{figure} +% +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/max_1000} +% \caption{Signal spectrum for MAX/1000} +% \label{fig:max_1000_result} +% \end{figure} +% +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/max_1500} +% \caption{Signal spectrum for MAX/1500} +% \label{fig:max_1500_result} +% \end{figure} + +% r2.14 et r2.15 et r2.16 \begin{figure} -\centering -\includegraphics[width=\linewidth]{images/max_500} -\caption{Signal spectrum for MAX/500} -\label{fig:max_500_result} -\end{figure} - -\begin{figure} -\centering -\includegraphics[width=\linewidth]{images/max_1000} -\caption{Signal spectrum for MAX/1000} -\label{fig:max_1000_result} -\end{figure} - -\begin{figure} -\centering -\includegraphics[width=\linewidth]{images/max_1500} -\caption{Signal spectrum for MAX/1500} -\label{fig:max_1500_result} + \centering + \begin{subfigure}{\linewidth} + \includegraphics[width=\linewidth]{images/max_500} + \caption{Signal spectrum for MAX/500} + \label{fig:max_500_result} + \end{subfigure} + + \begin{subfigure}{\linewidth} + \includegraphics[width=\linewidth]{images/max_1000} + \caption{Signal spectrum for MAX/1000} + \label{fig:max_1000_result} + \end{subfigure} + + \begin{subfigure}{\linewidth} + \includegraphics[width=\linewidth]{images/max_1500} + \caption{Signal spectrum for MAX/1500} + \label{fig:max_1500_result} + \end{subfigure} + \caption{Signal spectrum of each experimental configurations MAX/500, MAX/1000 and MAX/1500} \end{figure} In all cases, we observe that the actual rejection is close to the rejection computed by the solver. @@ -827,32 +871,61 @@ Figure~\ref{fig:min_60} shows the rejection of the different configurations in t Figure~\ref{fig:min_80} shows the rejection of the different configurations in the case of MIN/80. Figure~\ref{fig:min_100} shows the rejection of the different configurations in the case of MIN/100. +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/min_40} +% \caption{Signal spectrum for MIN/40} +% \label{fig:min_40} +% \end{figure} +% +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/min_60} +% \caption{Signal spectrum for MIN/60} +% \label{fig:min_60} +% \end{figure} +% +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/min_80} +% \caption{Signal spectrum for MIN/80} +% \label{fig:min_80} +% \end{figure} +% +% \begin{figure} +% \centering +% \includegraphics[width=\linewidth]{images/min_100} +% \caption{Signal spectrum for MIN/100} +% \label{fig:min_100} +% \end{figure} + +% r2.14 et r2.15 et r2.16 \begin{figure} -\centering -\includegraphics[width=\linewidth]{images/min_40} -\caption{Signal spectrum for MIN/40} -\label{fig:min_40} -\end{figure} - -\begin{figure} -\centering -\includegraphics[width=\linewidth]{images/min_60} -\caption{Signal spectrum for MIN/60} -\label{fig:min_60} -\end{figure} - -\begin{figure} -\centering -\includegraphics[width=\linewidth]{images/min_80} -\caption{Signal spectrum for MIN/80} -\label{fig:min_80} -\end{figure} - -\begin{figure} -\centering -\includegraphics[width=\linewidth]{images/min_100} -\caption{Signal spectrum for MIN/100} -\label{fig:min_100} + \centering + \begin{subfigure}{\linewidth} + \includegraphics[width=\linewidth]{images/min_40} + \caption{Signal spectrum for MIN/40} + \label{fig:min_40} + \end{subfigure} + + \begin{subfigure}{\linewidth} + \includegraphics[width=\linewidth]{images/min_60} + \caption{Signal spectrum for MIN/60} + \label{fig:min_60} + \end{subfigure} + + \begin{subfigure}{\linewidth} + \includegraphics[width=\linewidth]{images/min_80} + \caption{Signal spectrum for MIN/80} + \label{fig:min_80} + \end{subfigure} + + \begin{subfigure}{\linewidth} + \includegraphics[width=\linewidth]{images/min_100} + \caption{Signal spectrum for MIN/100} + \label{fig:min_100} + \end{subfigure} + \caption{Signal spectrum of each experimental configurations MIN/40, MIN/60, MIN/80 and MIN/100} \end{figure} We observe that all rejections given by the quadratic solver are close to the experimentally diff --git a/ifcs2018_journal_reponse.tex b/ifcs2018_journal_reponse.tex index 70e87ea..741e388 100644 --- a/ifcs2018_journal_reponse.tex +++ b/ifcs2018_journal_reponse.tex @@ -1,8 +1,8 @@ %Minor Revision - TUFFC-09469-2019 -%Transactions on Ultrasonics, Ferroelectrics, and Frequency +%Transactions on Ultrasonics, Ferroelectrics, and Frequency %Control (July 23, 2019 9:29 PM) -%To: arthur.hugeat@femto-st.fr, julien.bernard@femto-st.fr, -%gwenhael.goavec@femto-st.fr, pyb2@femto-st.fr, pierre-yves.bourgeois@femto-st.fr, +%To: arthur.hugeat@femto-st.fr, julien.bernard@femto-st.fr, +%gwenhael.goavec@femto-st.fr, pyb2@femto-st.fr, pierre-yves.bourgeois@femto-st.fr, %jmfriedt@femto-st.fr %CC: giorgio.santarelli@institutoptique.fr, lewin@ece.drexel.edu % @@ -12,56 +12,56 @@ % %MANUSCRIPT NO. TUFFC-09469-2019 %MANUSCRIPT TYPE: Papers -%TITLE: Filter optimization for real time digital processing of radiofrequency +%TITLE: Filter optimization for real time digital processing of radiofrequency %signals: application to oscillator metrology -%AUTHOR(S): HUGEAT, Arthur; BERNARD, Julien; Goavec-Mérou, Gwenhaël; Bourgeois, +%AUTHOR(S): HUGEAT, Arthur; BERNARD, Julien; Goavec-Mérou, Gwenhaël; Bourgeois, %Pierre-Yves; Friedt, Jean-Michel % -%has been reviewed and it has been suggested that it be accepted for publication -%after minor revisions. In your revision, you must respond to the reviewer’s +%has been reviewed and it has been suggested that it be accepted for publication +%after minor revisions. In your revision, you must respond to the reviewer’s %comments at the end of this e-mail or attached. % -%Your revised manuscript must be submitted within the next THREE WEEKS. If you -%are not able to submit your manuscript in this time frame, you must contact the +%Your revised manuscript must be submitted within the next THREE WEEKS. If you +%are not able to submit your manuscript in this time frame, you must contact the %Editor in Chief (Peter Lewin, lewinpa@drexel.edu). % -%Please resubmit your revised manuscript to the Transactions on Ultrasonics, -%Ferroelectrics, and Frequency Control Manuscript Central website at -%http://mc.manuscriptcentral.com/tuffc-ieee. From the “Author Center” select -%“Manuscripts with Decisions” and under the appropriate manuscript ID select +%Please resubmit your revised manuscript to the Transactions on Ultrasonics, +%Ferroelectrics, and Frequency Control Manuscript Central website at +%http://mc.manuscriptcentral.com/tuffc-ieee. From the “Author Center” select +%“Manuscripts with Decisions” and under the appropriate manuscript ID select %“create a revision”. % %To expedite the review of your resubmission: % -%(1) Include or attach a point by point response to reviewer’s comments and -%detail all changes made in your manuscript under “Response to Decision Letter”. -%Failure to address reviewers comments can still lead to a rejection of your +%(1) Include or attach a point by point response to reviewer’s comments and +%detail all changes made in your manuscript under “Response to Decision Letter”. +%Failure to address reviewers comments can still lead to a rejection of your %manuscript. -%(2) Submit a PDF of the revised manuscript using the “Formatted (Double Column) -%Main File - PDF Document Only” file type with all changes highlighted in yellow +%(2) Submit a PDF of the revised manuscript using the “Formatted (Double Column) +%Main File - PDF Document Only” file type with all changes highlighted in yellow %under “File Upload”. -%(3) Original TeX, LaTeX, or Microsoft Word file of the final manuscript as +%(3) Original TeX, LaTeX, or Microsoft Word file of the final manuscript as %Supporting Document. -%(4) High quality source files of your figures in Word, Tiff, Postscript, -%EPS, Excel or Power Point (if figures are not already embedded in your source +%(4) High quality source files of your figures in Word, Tiff, Postscript, +%EPS, Excel or Power Point (if figures are not already embedded in your source %file above) as Supporting Document. %(5) Author photos and biographies (papers only) as Supporting Document. -%(6) Graphical Abstract to accompany your text abstract on IEEE Xplore (image, +%(6) Graphical Abstract to accompany your text abstract on IEEE Xplore (image, %animation, movie, or audio clip) uploaded as Multimedia. % -%*Please make sure that all final files have unique file names in order for +%*Please make sure that all final files have unique file names in order for %them to be processed correctly by IEEE* -%Please note that a PDF is NOT sufficient for publication, the PDF is used +%Please note that a PDF is NOT sufficient for publication, the PDF is used %for review. % -%During the resubmission process if you do not see a confirmation screen and -%receive a confirmation e-mail, your revised manuscript was not transmitted +%During the resubmission process if you do not see a confirmation screen and +%receive a confirmation e-mail, your revised manuscript was not transmitted %to us and we will not be able to continue to process your manuscript. % -%Please refer to the policies regarding the voluntary page charges and -%mandatory page charges in the "Guideline for Authors" at +%Please refer to the policies regarding the voluntary page charges and +%mandatory page charges in the "Guideline for Authors" at %http://ieee-uffc.org/publications/transactions-on-uffc/information-for-authors -%Note over-length charge of US$175 per page is applied for published pages in +%Note over-length charge of US$175 per page is applied for published pages in %excess of 8 pages. % %Sincerely, @@ -82,22 +82,22 @@ %In general, the language/grammar is adequate. {\bf -On page 2, "...allowing to save processing resource..." could be improved. +On page 2, "...allowing to save processing resource..." could be improved. % r1.1 -On page 2, "... or thanks at a radiofrequency-grade..." isn't at all clear what +On page 2, "... or thanks at a radiofrequency-grade..." isn't at all clear what % r1.2 the author meant. -One page 2, the whole paragraph "The first step of our approach is to model..." +One page 2, the whole paragraph "The first step of our approach is to model..." % r1.3 could be improved. } {\bf -I appreciate that the authors attempted and document two optimizations: that -of maximum rejection ratio at fixed silicon area, as well as minimum silicon -area for a fixed minimum rejection ratio. For non-experts, it might be very -useful to compare the results of both optimization paths to the performance and -resource-utilization of generic low-pass filter gateware offered by device -manufacturers. I appreciate also that the authors have presented source code +I appreciate that the authors attempted and document two optimizations: that % r1.4 - en attente des résultats +of maximum rejection ratio at fixed silicon area, as well as minimum silicon +area for a fixed minimum rejection ratio. For non-experts, it might be very +useful to compare the results of both optimization paths to the performance and +resource-utilization of generic low-pass filter gateware offered by device +manufacturers. I appreciate also that the authors have presented source code for examination online. } @@ -109,34 +109,34 @@ Reviewer: 2 } %Comments to the Author -%In the Manuscript, the Authors describe an optimization methodology for filter -%design to be used in phase noise metrology. The methodology is general and can -%be used for many aspects of the processing chain. In the Manuscript, the Authors -%focus on filtering and shifting while the other aspects, in particular decimation, -%will be considered in a future work. The optimization problem is modelled -%theoretically and then solved by means of a commercial software. The solutions -%are tested experimentally on the Redpitaya platform with synthetic and real -%white noises. Two cases are considered as a function of the number of filters: -%maximum rejection given a fixed amount of resources and minimum resource -%utilization given a fixed amount of rejection. -%The Authors find that filtering improves significantly when the number of -%filters increases. -%A lot of work has been done in generalizing and automating the procedure so -%that different approaches can be investigated quickly and efficiently. The -%results presented in the Manuscript seem to be just a case study based on -%the particular criterion chosen by the Authors. Different criteria, in -%general, could lead to different results and it is important to consider -%carefully the criterion adopted by the Authors, in order to check if it -%is adequate to compare the performance of filters and if multi-stage +%In the Manuscript, the Authors describe an optimization methodology for filter +%design to be used in phase noise metrology. The methodology is general and can +%be used for many aspects of the processing chain. In the Manuscript, the Authors +%focus on filtering and shifting while the other aspects, in particular decimation, +%will be considered in a future work. The optimization problem is modelled +%theoretically and then solved by means of a commercial software. The solutions +%are tested experimentally on the Redpitaya platform with synthetic and real +%white noises. Two cases are considered as a function of the number of filters: +%maximum rejection given a fixed amount of resources and minimum resource +%utilization given a fixed amount of rejection. +%The Authors find that filtering improves significantly when the number of +%filters increases. +%A lot of work has been done in generalizing and automating the procedure so +%that different approaches can be investigated quickly and efficiently. The +%results presented in the Manuscript seem to be just a case study based on +%the particular criterion chosen by the Authors. Different criteria, in +%general, could lead to different results and it is important to consider +%carefully the criterion adopted by the Authors, in order to check if it +%is adequate to compare the performance of filters and if multi-stage %filters are really superior than monolithic filters. {\bf -By observing the results presented in fig. 10-16, it is clear that the -performances of multi-stage filters are obtained at the expense of their -selectivity and, in this sense, the filters presented in these figures -are not equivalent. For example, in Fig. 14, at the limit of the pass band, -the attenuation is almost 15 dB for n = 5, while it is not noticeable for -n = 1. +By observing the results presented in fig. 10-16, it is clear that the % r2.1 - fait +performances of multi-stage filters are obtained at the expense of their +selectivity and, in this sense, the filters presented in these figures +are not equivalent. For example, in Fig. 14, at the limit of the pass band, +the attenuation is almost 15 dB for n = 5, while it is not noticeable for +n = 1. } TODO : ajouter les gabarits @@ -145,14 +145,16 @@ Peut etre refaire une serie de simulation dans lesquelles on impose une coupure non pas entre 40 et 60\% mais entre 50 et 60\% pour demontrer que l'outil s'adapte au critere qu'on lui impose, et que la coupure moins raide n'est pas intrinseque a la cascade de filtres. +AH: Je finis les corrections, je poste l'article revu et pendant ce temps j'essaie de +relancer des expérimentations. Si j'arrive à les finir à temps, je les intégrerai {\bf -The reason is in the criterion that considers the average attenuation in -the pass band. This criterion does not take into account the maximum attenuation -in this region, which is a very important parameter for specifying a filter -and for evaluating its performance. For example, with this criterion, a -filter with 0.1 dB of ripple is considered equivalent to a filter with -10 dB of ripple. This point has a strong impact in the optimization process +The reason is in the criterion that considers the average attenuation in % r2.2 - fait +the pass band. This criterion does not take into account the maximum attenuation +in this region, which is a very important parameter for specifying a filter +and for evaluating its performance. For example, with this criterion, a +filter with 0.1 dB of ripple is considered equivalent to a filter with +10 dB of ripple. This point has a strong impact in the optimization process and in the results that are obtained and has to be reconsidered. } @@ -160,54 +162,67 @@ Je ne pense pas que ca soit le cas : la somme des valeurs absolues des pertes dans la bande va defavoriser un filtre avec 10 dB de ripples. Il n'a pas compris que la bandpass s'arrete a 40\% de la bande, donc mettre le gabarit clarifierait ce point je pense +AH: Il y avait une faute, j'avais mis "mean of absolute value" au lieu de "sum of absolute value". Je pense que je n'ai pas besoin de mettre plus de détail ? {\bf -I strongly suggest to re-run the analysis with a criterion that takes also -into account the maximum allowed attenuation in pass band, for example by -fixing its value to a typical one, as it has been done for the transition -bandwidth. +I strongly suggest to re-run the analysis with a criterion that takes also % r2.3 -fait +into account the maximum allowed attenuation in pass band, for example by +fixing its value to a typical one, as it has been done for the transition +bandwidth. } +AH: Il y avait une faute, j'avais mis "mean of absolute value" au lieu de "sum of absolute value". Je pense que je n'ai pas besoin de mettre plus de détail ? {\bf -In addition, I suggest to address the following points: -- Page 1, line 50: the Authors state that IIR have shorter impulse response +In addition, I suggest to address the following points: % r2.4 +- Page 1, line 50: the Authors state that IIR have shorter impulse response than FIR. This is not true in general. The sentence should be reconsidered. } J'aurais du dire ``lag'' au lieu de ``impulse response'' je pense +AH: Je ne comprends pas trop ce qui ne va pas ici {\bf -- Fig. 4: the Author should motivate in the text why it has been chosen -this transition bandwidth and if it is a typical requirement for phase-noise +- Fig. 4: the Author should motivate in the text why it has been chosen % r2.5 +this transition bandwidth and if it is a typical requirement for phase-noise metrology. -- The impact of the coefficient resolution is discussed. What about the -resolution of the data stream? Is it fixed? If so, which value has been -used in the analysis? If not, how is it changed with respect to the +} +AH: Je ne sais pas comment justifier ça. Je dois dire que comme ça on peut éventuellement +décimer par deux le flux ? + +{\bf +- The impact of the coefficient resolution is discussed. What about the % r2.6 - fait +resolution of the data stream? Is it fixed? If so, which value has been +used in the analysis? If not, how is it changed with respect to the coefficient resolution? } Pr\'eciser que le flux de donn\'ees en entr\'ees est de r\'esolution fixe {\bf -- Page 3, line 47: the initial criterion can be omitted and, consequently, +- Page 3, line 47: the initial criterion can be omitted and, consequently, % r2.7 - fait Fig. 5 can be removed. -- Page 3, line 55: “maximum rejection” is not compatible with fig. 4. +- Page 3, line 55: “maximum rejection” is not compatible with fig. 4. % r2.8 - fait It should be “minimum” -- Page e, line 55, second column: “takin” -- Page 3, line 58: “pessimistic” should be replaced with “conservative” -- Page 4, line 17: “meaning” --> “this means” -- Page 4, line 10: how $p$ is chosen? Which is the criterion used to choose +} +AH: Je ne suis pas d'accord, le critère n'est pas le min de la rejection mais le max +de la magnitude. J'ai corrigé en ce sens. + +{\bf +- Page e, line 55, second column: “takin” % r2.9 - fait +- Page 3, line 58: “pessimistic” should be replaced with “conservative” % r2.10 - fait +- Page 4, line 17: “meaning” --> “this means” % r2.11 - fait +- Page 4, line 10: how $p$ is chosen? Which is the criterion used to choose % r2.12 - fait these particular configurations? Are they chosen automatically? -- Page 4, line 31: how does the delta function transform model from non-linear +- Page 4, line 31: how does the delta function transform model from non-linear % r2.13 - fait and non-quadratic to a quadratic? -- Captions of figure and tables are too minimal. -- Figures can be grouped: fig. 10-12 can be grouped as three subplots (a, b, c) -of a single figure. Same for fig. 13-16. +- Captions of figure and tables are too minimal. % r2.14 +- Figures can be grouped: fig. 10-12 can be grouped as three subplots (a, b, c) % r2.15 - fait +of a single figure. Same for fig. 13-16. } {\bf -- Please increase the number of averages for the spectrum. Currently the noise -of the curves is about 20 dBpk-pk and it doesn’t allow to appreciate the +- Please increase the number of averages for the spectrum. Currently the noise % r2.16 - fait +of the curves is about 20 dBpk-pk and it doesn’t allow to appreciate the differences among the curves. I suggest to reduce the noise below 1 dBpk-pk. } @@ -216,14 +231,13 @@ mais que tu as des jeux de donnees de e.g. 10000 points, on peut faire des moyen sur les sequences successives. Au pire si pas possible, une moyenne glissante sur chaque spectre pour affiner les traits ? -%In conclusion, my opinion is that the methodology presented in the Manuscript -%deserve to be published, provided that the criterion is changed according +%In conclusion, my opinion is that the methodology presented in the Manuscript +%deserve to be published, provided that the criterion is changed according %the indications mentioned above. \end{document} %**************************************************** % -%For information about the IEEE Ultrasonics, Ferroelectrics, and Frequency -%Control Society, please visit the website: http://www.ieee-uffc.org. The -%website of the Transactions on Ultrasonics, Ferroelectrics, and Frequency +%For information about the IEEE Ultrasonics, Ferroelectrics, and Frequency +%Control Society, please visit the website: http://www.ieee-uffc.org. The +%website of the Transactions on Ultrasonics, Ferroelectrics, and Frequency %Control is at: http://ieee-uffc.org/publications/transactions-on-uffc - diff --git a/images/cascaded_criterion.pdf b/images/cascaded_criterion.pdf index dafcb515874128a0015e50883f76c4fb98ad308e..485feea00008d833170f9a9d972d46d0e338b85d 100644 GIT binary patch delta 14236 zcmaibc|6o#^tYX{3}eq&vzP3dF=XGD$&x79MP-@6D1?uFjbw=$$`+AARAe1nRAdX4 z%-9XG$I#&Ue1EU!kLUGzp4aR7W8R;0?>+b2bIv{Ie750SfiVYe?6dM|bfsa>w$9#1PTtH}H4$+o$N~VJCZl1*P&RU-$S2_#=OLzNvUd z9+-GKOnX`J`DG$^WW^EDLvKQLV{pvpvJ}5KT z0X|lHYLEXrXYT4~4R=}#yl=MgDl+o9rTR2*if_4B{%s=SbY))6@cvAjZuEu3G}HW_ zr@&p=sh)u6hi7)@D?1|G4ykjWhtB)9zbWjPy?s1c8-A(sBx#xYc5&^vaF&U0yZjt5CjN=!_M7O8`F<{@B|26TH%@6pDAy?rJu81D1{Q|!GiJm-n0~#Mc^!#(2 zTuVOmf0rqCLiuZocW8TX)cwuP{%V*h-W_jE z{`=VRQ#UFyBcFO7U-GA6FQQ{%dgtN4%G37%>h$Q~U!`tA;NSMKq>x$NAG*40yVp{I zD7;Q|0(Zo$jrE|b_RAQeE$xpZ=YtQ2-NYxuGA z?LZ6|UfvHTFJ5j>Vm+C6y#M0ww}zdIp2(}B@bl#P&GydRpDqvomRx-EGvRe$sQ;5M 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