Compare the filter shape for the filter described by the transfer function H(z)=.0152+.2263z^-1+.517z^-2+.2263z^-3+.0152z^-4 to the shape obtained...

1.

Compare the filter shape for the filter described by the transfer function H(z)=.0152+.2263z^-1+.517z^-2+.2263z^-3+.0152z^-4 to the shape obtained after the coefficients are quantized to

a. 5 bits

b. 4 bits

2.

Design a band stop filter according to the following specifications.

Pass band edges at 2kHz and 5kHz

Transition width 1kHz

Stop band attenuation 40dB

Sampling rate 12kHz