Design a lowpass filter. The specifications are given as follows:
stopband edge: 5 rad/sec
passband edge: 3 rad/sec
maximum passband attenuation: 0.3dB
minimum stopbandband attenuation: 40dB
sampling frequency: 15 rad/sec
(a). Use each of the following windows for the design: Hamming, Hann, Blackman, and Kaiser. Show the ideal impulse response, the actual impulse response, and plot the gain response of the designed filters for each case. Give the main design steps. Comment on your results. Do not use the function fir1 of Matlab.
(b). Repeat (a) except for the ideal impulse response, by using the function fir1 of Matlab. Compare results of (a) with those of (b).
(c). Use each of the following approximation for the design: Butterworth approximation, Chebyshev approximation, Elliptic approximation. Plot the gain response of the designed filters for each case. Give the main design steps. Comment on your results.
要求:以实验报告形式提交,要附上详细的分析、结果图和源代码,6月25之前完成。
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