2.2 The impulse response of the system is $h[n] = \delta[n] + 2\delta[n-1] + 3\delta[n-2]$.
1.1 (a) The range of values that can be represented by 12-bit signed binary numbers is -2048 to 2047.
$$X[k] = \begin{bmatrix} 10 & -2+j2 & -2 & -2-j2 \end{bmatrix}$$
$$H(z) = 1 + 2z^{-1} + 3z^{-2}$$
4.1 The transfer function of the filter is:
3.1 The DFT of the sequence $x[n] = 1, 2, 3, 4$ is:
