ECET 350 Week 5 Homework

Chapter 9:

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

Pass band edges at 2 kHz and 5 kHz
Transition widths 1 kHz
Stop band attenuation ≥ 40 dB
Sampling rate 12 kHz

  1. Compare the filter shape for the filter described by the transfer function

to the shape obtained after the coefficients are quantized.

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