jfriedt / IFCS2018 article

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ajout des choix de coeff.

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ifcs2018_processing.tex
Diff comments   View file @ 190924a
... ... @@ -15,7 +15,7 @@
15 15  
16 16 \author{\IEEEauthorblockN{A. Hugeat\IEEEauthorrefmark{1}\IEEEauthorrefmark{2}, J. Bernard\IEEEauthorrefmark{2},
17 17 G. Goavec-M\'erou\IEEEauthorrefmark{1},
18   -P.-Y. Bourgeois\IEEEauthorrefmark{1}, J.-M Friedt\IEEEauthorrefmark{1}}
  18 +P.-Y. Bourgeois\IEEEauthorrefmark{1}, J.-M. Friedt\IEEEauthorrefmark{1}}
19 19 \IEEEauthorblockA{\IEEEauthorrefmark{1}FEMTO-ST, Time \& Frequency department, Besan\c con, France }
20 20 \IEEEauthorblockA{\IEEEauthorrefmark{2}FEMTO-ST, Computer Science department DISC, Besan\c con, France \\
21 21 Email: \{pyb2,jmfriedt\}@femto-st.fr}
22 22  
... ... @@ -80,10 +80,22 @@
80 80 by a set of weights $b_k$ applied to the inputs $x_k$ through a convolution to generate the outputs $y_k$
81 81 $$y_n=\sum_{k=0}^N b_k x_{n-k}$$
82 82  
83   -As opposed to an implementation on a general purpose processor in which word size is defined by the
  83 +As opposed to an implementation on a general purpose processor in which word size is defined by the
84 84 processor architecture, implementing such a filter on an FPGA offer more degrees of freedom since
85 85 not only the coefficient values and number of taps must be defined, but also the number of bits defining
86 86 the coefficients and the sample size.
  87 +
  88 +Ideally the coefficient are expressed as floating point value but this notation isn't a efficient way to
  89 +work with FPGA. Instead we prefer convert this floating point values into integer values. However this
  90 +conversion result in some precision loss. Actually as show figure \ref{float_vs_int}, we see that we aren't
  91 +need too coefficients or too sample size. If we have lot of coefficients but a small sample size,
  92 +the first and last are equal to zero. But if we have too sample size for few coefficients that not improve the quality.
  93 +
  94 +\begin{figure}[h!tb]
  95 +\includegraphics[width=\linewidth]{images/float-vs-integer.pdf}
  96 +\caption{Illistration of coefficients choice impact}
  97 +\label{float_vs_int}
  98 +\end{figure}
87 99  
88 100 \section{Filter optimization}
89 101  
images/float-vs-integer.eps
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