Problem $1$: Consider the sampling conversion from $7$ kHz to $5$ kHz with the following specifications for the combined filter :

Frequency of interest $=0-800Hz$

Passband ripple $=0\mathrm{.}02dB$

Stopband attenuation $=50dB$

a$.$ Draw the block diagram for the interpolator with all information included.

b$.$ Specify suitable passband and the stopband and justify your selection.

c$.$ Determine the window type, filter length, and cutoff frequency if the window method is used for the combined FIR filter $H(z).$

d$.$ Write a MATLAB code that computes the coefficients $b_n$ of the filter obtained in c$).$

$[$Note: Do not include the numerical values of $b_n$ in your answer$]$Problem $1$: Consider the sampling conversion from $7$ kHz to $5$ kHz with the following specifications for the combined filter :

Frequency of interest $=0-800Hz$

Passband ripple $=0\mathrm{.}02dB$

Stopband attenuation $=50dB$

a$.$ Draw the block diagram for the interpolator with all information included.

b$.$ Specify suitable passband and the stopband and justify your selection.

c$.$ Determine the window type, filter length, and cutoff frequency if the window method is used for the combined FIR filter $H(z).$

d$.$ Write a MATLAB code that computes the coefficients $b_n$ of the filter obtained in c$).$

$[$Note: Do not include the numerical values of $b_n$ in your answer$]$