1. The impulse response for an ideal low pass filter with a pass band edge at omega1=0.5rads.
2. Design a low pass FIR filter for 10 kHz sampling, with a pass band edge at 2 kHz, a stop band edge at 3 kHz, and 20 dB stop band attenuation. Find the impulse response and the difference equation for the filter.
3. A voice signal sampled at 8 kHz must be filtered to eliminate elements outside the range from 300 to 3400 Hz before it is coded for transmission. Design the filter.