Digital Signal Processing Sanjit K Mitra 3rd Edition Solution Manual ❲95% Trusted❳

1.1 (a) The range of values that can be represented by 12-bit signed binary numbers is -2048 to 2047.

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

7.1 The output of the downsampler is:

$$X[k_1, k_2] = \begin{bmatrix} 10 & -2 \ -2 & -2 \end{bmatrix}$$

2.1 (a) The even part of the signal $x[n] = \cos(0.5\pi n)$ is $x_e[n] = \cos(0.5\pi n)$.