(a) Suppose, for a particular system, T{0} + 0. Can the system be linear?why OR not? For a particular system, if T{u(t)} = e-tu(t) and T{u(t – 1)} = e-2'u(t),

can the system be time-invariant? Why or why not? -) Evaluate the following integrals: \text { ii. } \int_{-\infty}^{\infty} x(-\tau) \delta(2 t-\tau-4) \mathrm{d} \tau \quad \text { (find a numerical answer) } \text { iii. } \int_{-1}^{1} t \sum_{k}^{\infty} \delta(t-k / 4) \mathrm{d} t \quad \text { (find a numerical answer) } ) Describe the basic principle behind lossy data compression,as we have discussed in class. \text { i. } \int_{-\infty}^{\infty} \cos (t) \delta(t-\pi) \mathrm{d} t