Uniform encoder
Quantize and encode floating-point inputs to integer outputs.
uencode(u, n, v = 1, signed = FALSE)
u |
Input, a multidimensional array of numbers, real or complex, single or double precision. |
n |
Number of levels used in 2^{n}-level quantization. |
v |
Limit on the range of |
signed |
Logical indicating signed or unsigned output. See Details. Default: FALSE. |
y <- uencode(u, n) quantizes the entries in a multidimensional array
of floating-point numbers u and encodes them as integers using
2^{n}-level quantization. n must be an integer between 2 and 32
(inclusive). Inputs can be real or complex, double- or single-precision. The
output y and the input u are arrays of the same size. The
elements of the output y are unsigned integers with magnitudes in the
range 0 to 2^{n} - 1. Elements of the input u outside of the
range -1 to 1 are treated as overflows and are saturated.
For entries in the input u that are less than -1, the value of the output of uencode is 0.
For entries in the input u that are greater than 1, the value of the output of uencode is 2^{n}-1.
y <- uencode(u, n, v) allows the input u to have entries with
floating-point values in the range -v to v before saturating
them (the default value for v is 1). Elements of the input u
outside of the range -v to v are treated as overflows and are
saturated:
For input entries less than -v, the value of the output of
uencode is 0.
For input entries greater than v, the value of the output of
uencode is 2^{n} - 1.
y <- uencode(u, n, v, signed) maps entries in a multidimensional array
of floating-point numbers u whose entries have values in the range
-v to v to an integer output y. Input entries outside
this range are saturated. The integer type of the output depends on the
number of quantization levels 2^{n} and the value of signed,
which can be one of the following:
TRUE: Outputs are signed integers with magnitudes in the range -2^{n} / 2 to (2^{n} / 2) - 1.
FALSE (default): Outputs are unsigned integers with magnitudes in the range 0 to 2^{n} - 1.
Multidimensional array of the same size as u containing signed
or unsigned integers.
Georgios Ouzounis, ouzounis_georgios@hotmail.com.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com.
u <- seq(-1, 1, 0.01) y <- uencode(u, 3) plot(u, y)
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