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:
$$y[n] = x[2n]$$
has a pole at $z = 0.8$.
$$X[k] = \begin{bmatrix} 10 & -2+j2 & -2 & -2-j2 \end{bmatrix}$$ Mitra's "Digital Signal Processing"
4.1 The transfer function of the filter is:
2.2 The impulse response of the system is $h[n] = \delta[n] + 2\delta[n-1] + 3\delta[n-2]$.
This solution manual provides a comprehensive set of solutions to the problems and exercises in the 3rd edition of Sanjit K. Mitra's "Digital Signal Processing". The solutions are intended to help students understand the concepts and principles of digital signal processing. $$H(z) = \frac{1}{1 - 0
is:
$$H(z) = 1 + 2z^{-1} + 3z^{-2}$$
3.1 The DFT of the sequence $x[n] = 1, 2, 3, 4$ is: $$H(z) = \frac{1}{1 - 0.5z^{-1}}$$
(b) The maximum and minimum values that can be represented by 12-bit unsigned binary numbers are 4095 and 0, respectively.
$$H(z) = \frac{1}{1 - 0.5z^{-1}}$$