An input signal to a low-pass filter $H(e^{j\omega})$ is quantized to a = 3 binary fractional bit/bits (after the binary point):
\\
a frac.
bits
$H(e^{j\omega})$
$|H(e^{j\omega})|$
1
0 $b\pi$ $\pi$ $\omega$
The magnitude response $|H(e^{j\omega})|$ of the low-pass filter, where b = 0.5, is shown above. What is the output noise variance due to the input quantization noise? (Assume that no other noise is introduced by the filter.)
Please enter your answer in decimal with an accuracy of at least ±0.0000001.
