Quantize and encode floatingpoint input into integer output
Quantizers
dspquant2
The Uniform Encoder block performs the following two operations on each floatingpoint sample in the input vector or matrix:
Quantizes the value using the same precision
Encodes the quantized floatingpoint value to an integer value
In the first step, the block quantizes an input value to one of 2^{B} uniformly spaced levels in the range [V, (12^{1B})V], where you specify B in the Bits parameter and you specify V in the Peak parameter. The quantization process rounds both positive and negative inputs downward to the nearest quantization level, with the exception of those that fall exactly on a quantization boundary. The real and imaginary components of complex inputs are quantized independently.
The number of bits, B, can be any integer value between 2 and 32, inclusive. Inputs greater than (12^{1B})V or less than V saturate at those respective values. The real and imaginary components of complex inputs saturate independently.
In the second step, the quantized floatingpoint value is uniquely
mapped (encoded) to one of 2^{B} integer
values. When the Output type is set to Unsigned
integer
, the smallest quantized floatingpoint value,
V, is mapped to the integer 0, and the largest
quantized floatingpoint value, (12^{1B})V,
is mapped to the integer 2^{B}1.
Intermediate quantized floatingpoint values are linearly (uniformly)
mapped to the intermediate integers in the range [0, 2^{B}1].
For efficiency, the block automatically selects an unsigned output
data type (uint8
, uint16
,
or uint32
) with the minimum number of bits
equal to or greater than B.
When the Output type is set to Signed
integer
, the smallest quantized floatingpoint value,
V, is mapped to the integer 2^{B1},
and the largest quantized floatingpoint value, (12^{1B})V,
is mapped to the integer 2^{B1}1.
Intermediate quantized floatingpoint values are linearly mapped to
the intermediate integers in the range [2^{B1},
2^{B1}1]. The block automatically
selects a signed output data type (int8
, int16
,
or int32
) with the minimum number of bits
equal to or greater than B.
Inputs can be real or complex, double or single precision. The output data types that the block uses are shown in the table below. Note that most of the DSP System Toolbox™ blocks accept only doubleprecision inputs. Use the Simulink^{®} Data Type Conversion block to convert integer data types to double precision. See About Data Types in Simulink (Simulink) for a complete discussion of data types, as well as a list of Simulink blocks capable of reducedprecision operations.
Bits  Unsigned Integer  Signed Integer 










The Uniform Encoder block operations adhere to the definition for uniform encoding specified in ITUT Recommendation G.701.
See example model ex_uniform_encoder.
In this example, the following parameters are set:
Peak = 2
Bits = 3
Output type = Unsigned
The following figure illustrates uniform encoding.
The real and complex components of each input (horizontal axis)
are independently quantized to one of 2^{3} distinct
levels in the range [2,1.5]
. These components
are then mapped to one of 2^{3} integer values
in the range [0,7]
.
2.0 is mapped to 0 1.5 is mapped to 1 1.0 is mapped to 2 0.5 is mapped to 3 0.0 is mapped to 4 0.5 is mapped to 5 1.0 is mapped to 6 1.5 is mapped to 7
This table shows the results for a few particular inputs.
Input  Quantized Input  Output  Notes 



 


 


 Saturation (real) 


 


 Saturation (imaginary) 


 Saturation (real and imaginary) 
The output data type is automatically set to uint8
,
the most efficient format for this input range.
The largest input amplitude to be encoded, V. Real or imaginary input values greater than (12^{1B})V or less than V saturate (independently for complex inputs) at those limits.
Specify the number of bits, B, needed to represent the integer output. The number of levels at which the block quantizes the floatingpoint input is 2^{B}.
The data type of the block's output, Unsigned integer
or Signed
integer
. Unsigned outputs are uint8
, uint16
,
or uint32
, while signed outputs are int8
, int16
,
or int32
.
General Aspects of Digital Transmission Systems: Vocabulary of Digital Transmission and Multiplexing, and Pulse Code Modulation (PCM) Terms, International Telecommunication Union, ITUT Recommendation G.701, March, 1993
Port  Supported Data Types 

Input 

Output 

Data Type Conversion  Simulink 
Quantizer  Simulink 
DSP System Toolbox  
Uniform Decoder  DSP System Toolbox 
udecode  Signal Processing Toolbox 
uencode  Signal Processing Toolbox 