sdr.diff_decode

sdr.diff_decode(y: ArrayLike, y_prev: int = 0) → NDArray[int_]

Differentially decodes the input data $y [k]$ .

x [k] = y [k] \oplus y [k - 1]

Parameters:¶

y: ArrayLike¶: The input encoded data $y [k]$ .
y_prev: int = 0¶: The previous value of the encoded data $y [k - 1]$ .

Returns:¶

The differentially decoded data $x [k]$ .

Notes¶

Differential Decoder Block Diagram¶

           +------+  y[k-1]
y[k] --+-->| z^-1 |--------->@--> x[k]
       |   +------+          ^
       |                     |
       +---------------------+

y[k] = Encoded data
x[k] = Decoded data
z^-1 = Unit delay
@ = Adder

Examples¶

In [1]: sdr.diff_decode([0, 1, 1, 1, 0, 1])
Out[1]: array([0, 1, 0, 0, 1, 1])

In [2]: sdr.diff_encode([0, 1, 0, 0, 1, 1])
Out[2]: array([0, 1, 1, 1, 0, 1])