DSP上机题总结.ppt

Writing a MATLAB program to compute 128-point DFT of the following sequence, you must firstly use DFT definition (directly computing DFT) to compute and use MATLAB function to test the result. Plot the two results in one figure. Using the function fir1 and window of Kaiser, design a linear-phase FIR lowpass filter meeting the following specifications: passband edge frequency=2kHz, stopband edge frequency=2.5kHz, passband ripple δp=0.005, stopband rippleδs=0.005, and sampling rate of 10kHz.Plot its gain and phase responses and check if it meets the specifications? .Design a Type 1 Chebyshev IIR lowpass filter meeting the specifications as below: sampling rate of 12kHz, passband edge frequency of 2.1kHz, stopband edge frequency of 2.7kHz, passband ripple of 0.6dB, and a minimum stopband attenuation of 45dB. Write down the exact expression for the transfer function generated. Does your design meet the specifications? Using MATLAB determine the second-order factored form of the following z-transforms. And show their pole-zero plots. Then determine all possible ROCs of above z-transform. Write a MATLAB program to compute and display the rational z-transform from its zero,poles and gain constant. If the DTFT of the causal system exists, try to plot its magnitude and phase spectra. Using this program to determine the rational form of a z-transform whose zero are at ξ1= 1.2, ξ2= 2.3-j0.5, ξ3= -0.4+j0.2, ξ4= -0.4-j0.2,ξ5= 2.3+j0.5; the ploes are at λ1= 0.5, λ2= -0.75+j0.2, λ3= 0.6+j0.7, λ4= 0.6-j0.7,λ5= -0.75-j0.2; and the gain constant k is 2.1. Design an FIR hanning digital lowpass filter with the following specifications: passband edge frequency 0.3 ,stopband edge frequency 0.4 , stopband attenuation 40 dB. Please plot frequency-magnititude response and check if your design fit the specification。 design an IIR butterworth digital lowpass filter with the following specifications: sampling rate of 7kHz, passband edge frequency of 1.05kHz, stopband edge frequency o