Use MATLAB to construct the following filters. (a) Design a high pass filter with a passband frequency of 0.5 rad/sample and the stopband frequency of 0.51 rad/sample. Specify 0.1 dB of allowable passband ripple and a stopband attenuation of 60 dB. Plot magnitude and phase responses. (b) Design a low pass filter with a passband frequency of 0.35 rad/sample and the stopband frequency of 0.65 rad/sample. Specify 1 dB of allowable passband ripple and a stopband attenuation of 60 dB. Plot magnitude and phase responses. (c) Design a band pass a bandpass filter that passes frequencies beyond 0.15 rad/sample, while attenuating frequencies beyond 0.97 rad/sample. Specify 10 dB of allowable passband ripple and a stopband attenuation of 60 dB. Plot magnitude and phase responses. (d) Design a band reject filter to reject the discrete frequency band between 0.127 and 0.22m rad/sample. Specify 1 dB of allowable passband ripple and a stopband attenuation of 60 dB. Plot magnitude and phase responses.