1. As we stated in Section 5.10, a lowpass FIR filter’s frequency magnitude response at zero Hz (DC) is equal to the sum of the filter’s impulse response samples (sum of the filter’s coefficients)....

1. As we stated in Section 5.10, a lowpass FIR filter’s frequency magnitude response at zero Hz (DC) is equal to the sum of the filter’s impulse response samples (sum of the filter’s coefficients). Prove this important lowpass FIR filter property. 2. Assume a commercial data acquisition device has the ability to implement a 191-tap digital FIR filter. What is the narrowest transition region width ( f stop – f pass), stated in terms of fs , we can expect to achieve for a lowpass FIR filter using this device if we desire at least 55 dB of stopband attenuation?