4.1 The transfer function of the filter is:
is:
5.1 The FIR filter with a length of 3 and coefficients $b_0 = 1, b_1 = 2, b_2 = 3$ has a transfer function: b_1 = 2
2.2 The impulse response of the system is $h[n] = \delta[n] + 2\delta[n-1] + 3\delta[n-2]$.
The impulse response of the filter is:
$$X[k] = \begin{bmatrix} 10 & -2+j2 & -2 & -2-j2 \end{bmatrix}$$
1.1 (a) The range of values that can be represented by 12-bit signed binary numbers is -2048 to 2047. b_1 = 2
$$X[k] = \begin{bmatrix} 10 & -2+j2 & -2 & -2-j2 \end{bmatrix}$$
$$h[n] = 0.5^n u[n]$$
(b) The odd part of the signal $x[n] = \cos(0.5\pi n)$ is $x_o[n] = 0$.