Disk storage channel. Binary data storage with a thin-film disk can be approximated by an input-dependent additive white Gaussian noise channel where the noise n has a variance dependent on the transmitted (stored) input. The noise has the following input dependent density: 2 2ơ 2To2 2ơ 2Ta2 0 and σ-31ơ1. The channel inputs are equally-likely. a. For either input, the output can take on any real value. On the same graph, plot the two possible output probability density functions (pdf's). i. e. Plot the output pdf for 0 and the output pdf for x -1. Indicate (qualitatively) the decision regions on your graph. 2 72 2πσ 2 2πσ 2 0