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1. Design a lowpass FIR fiter for 10KHz sampling, with a pass band edge at

2Hz, a stop band edge at 3Khz, and 20dB stop band attenuation. Find the

impulse response and the difference equation for the filter.

2. A high pass filter with a pass band edge frequency of 5.5kHz must be designed for a 16kHz sampled system. The stop band attenuation must be at least 40dB, and the transition width must be no greater than 3.5kHz. Write the difference equation for the filter.

3. Design a band stop filter according to the following specifications.

Pass band edges at 2kHz and 5kHz

Transition width 1kHz

Stop band attenuation 40dB

4.

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

Sampling rate 12kHz