# quantdecode

Version:

Decodes quantized integer inputs to floating-point outputs.

## Syntax

y = quantdecode(x, n)
y = quantdecode(x, n, r)
y = quantdecode(x, n, r, s)
Legacy name: udecode

## x

Integers to decode. If the elements of x are signed integers, all elements of x must fall in the range [-2^(n-1), 2^(n-1)-1]. Otherwise, all elements of x must fall in the range [0, 2^n-1].

## n

Level of quantization. n is a positive integer between 2 and 32.

## r

Output range. r is a positive number.

Default: 1

## s

Specifies how to treat the overflows. s accepts the following values.

Name Description
'saturate'

MathScript saturates the elements of x that are outside of the range.

'wrap'

MathScript wraps the elements according to modulo 2^n arithmetic.

Default: 'saturate'

## y

Decoded floating-point numbers.

## Complex Inputs

quantdecode does not accept complex inputs. To encode and decode a complex x, use quantencode and quantdecode separately on the real and imaginary parts of x and then combine the results, as shown in the following example:

X = real (input) %get the real part of the input

Y = imag (input) %get the imaginary part of the input

X = quantencode (X, 4, 1, 'unsigned') %encode X

Y = quantencode (Y, 4, 1, 'unsigned') %encode Y

X = quantdecode (X, 4, 1, 'wrap') %decode X

Y = quantdecode (Y, 4, 1, 'wrap') %decode Y

output = complex (X, Y) %combine the real and imaginary parts

X = -1:0.01:1;
Y = quantencode(X, 4, 1, 'signed');
X1 = quantdecode(Y, 4, 1);
plot(X, X1)

Where This Node Can Run:

Desktop OS: Windows

FPGA: This product does not support FPGA devices