Digital Signal Processing Sanjit K Mitra 3rd Edition Solution Manual -

6.1 The IIR filter with a transfer function:

$$X[k] = \begin{bmatrix} 10 & -2+j2 & -2 & -2-j2 \end{bmatrix}$$

$$H(z) = \frac{1}{1 - 0.5z^{-1} - 0.2z^{-2}}$$

(b) The odd part of the signal $x[n] = \cos(0.5\pi n)$ is $x_o[n] = 0$.

$$H(z) = \frac{1}{1 - 0.5z^{-1}}$$

(b) The maximum and minimum values that can be represented by 12-bit unsigned binary numbers are 4095 and 0, respectively.

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.