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.
is:
2.2 The impulse response of the system is $h[n] = \delta[n] + 2\delta[n-1] + 3\delta[n-2]$.
$$H(z) = 1 + 2z^{-1} + 3z^{-2}$$
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:
The impulse response of the filter is:
$$h[n] = 0.5^n u[n]$$
3.2 The FFT of the sequence $x[n] = 1, 2, 3, 4$ is:
$$H(z) = \frac{1}{1 - 0.5z^{-1} - 0.2z^{-2}}$$
8.1 The 2D DFT of the image:
2.1 (a) The even part of the signal $x[n] = \cos(0.5\pi n)$ is $x_e[n] = \cos(0.5\pi n)$.
4.1 The transfer function of the filter is:
6.1 The IIR filter with a transfer function:
7.1 The output of the downsampler is:
$$x[n_1, n_2] = \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$$
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