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biblio.bib
... | ... | @@ -191,6 +191,10 @@ |
191 | 191 | author={Andrich, Carsten and Ihlow, Alexander and Bauer, Julia and Beuster, Niklas and Del Galdo, Giovanni}, |
192 | 192 | journal={IEEE Transactions on Instrumentation and Measurement}, |
193 | 193 | year={2018}, |
194 | - publisher={IEEE} | |
194 | + publisher={IEEE}, | |
195 | +pages={1132--1141}, | |
196 | +volume=67, | |
197 | +number=5, | |
198 | +month={May} | |
195 | 199 | } |
ifcs2018_proceeding.tex
... | ... | @@ -172,13 +172,13 @@ |
172 | 172 | |
173 | 173 | Specifically the degrees of freedom when addressing the problem of replacing the single monolithic |
174 | 174 | FIR with a cascade of optimized filters are the number of coefficients $N_i$ of each filter $i$, |
175 | -the number of bits $C_i$ representing the coefficients and the number of bits $D_i$ representing | |
176 | --the data fed to the filter. Because each FIR in the chain is fed the output of the previous stage, | |
175 | +the number of bits $C_i$ representing the coefficients and the number of bits $D_i$ needed to represent | |
176 | +the data $x_k$ fed to each filter as provided by the acquisition or previous processing stage. | |
177 | +Because each FIR in the chain is fed the output of the previous stage, | |
177 | 178 | the optimization of the complete processing chain within a constrained resource environment is not |
178 | 179 | trivial. The resource occupation of a FIR filter is considered as $C_i \times N_i$ which aims |
179 | 180 | at approximating the number of bits needed in a worst case condition to represent the output of the |
180 | -FIR. Indeed, the number of bits generated by the FIR is $(C_i+D_i)\times\log_2(N_i)$ with $D_i$ | |
181 | -the number of bits needed to represent the data $x_k$ generated by the previous stage, but the | |
181 | +FIR. Indeed, the number of bits generated by the $i$th FIR is $(C_i+D_i)\times\log_2(N_i)$, but the | |
182 | 182 | $\log$ function is avoided for its incompatibility with a linear programming description, and |
183 | 183 | the simple product is approximated as the number of gates needed to perform the calculation. Such an |
184 | 184 | occupied area estimate assumes that the number of gates scales as the number of bits and the number |
... | ... | @@ -424,8 +424,8 @@ |
424 | 424 | This work is supported by the ANR Programme d'Investissement d'Avenir in |
425 | 425 | progress at the Time and Frequency Departments of the FEMTO-ST Institute |
426 | 426 | (Oscillator IMP, First-TF and Refimeve+), and by R\'egion de Franche-Comt\'e. |
427 | -The authors would like to thank E. Rubiola, F. Vernotte, G. Cabodevila for support and | |
428 | -fruitful discussions. | |
427 | +The authors would like to thank E. Rubiola, F. Vernotte, and G. Cabodevila | |
428 | +for support and fruitful discussions. | |
429 | 429 | |
430 | 430 | \bibliographystyle{IEEEtran} |
431 | 431 | \balance |