题目内容

窗函数法设计FIR滤波器的实验中,已知实验要求设计一个指标为ωp=0.5π,ωs=0.5π,αp=0.25dB,αs=50dB的线性相位FIR低通滤波器,某同学MATLAB编程如下:
Wp=0.3*pi;Ws=0.5*pi;Rp=0.25;Rs=50;
N=35;n=[0:1:N-1];Wc=(Ws+Wp)/2;
hd=ideal_lp(Wc,N);%语句1
w_han=(hanning(N))';h=hd.*w_han
[db,mag,pha,grd,w]=freqz_m(h,1);
plot(w/pi,db);axis([0,1,-100,5]);
1.结合程序,简述窗函数法设计FIR滤波器的基本设计思路。
2.用窗函数法设计FIR滤波器时,滤波器的过渡带宽度和阻带衰减各与哪些因素有关?
3.设所设计滤波器的频域响应如图9-4所示,试问:所设计滤波器的性能指标为多少?为了达到设计要求,结合题后给出的资料一、二,原程序应作何种修改?
4.如果要设计一个截止频率分别为ωc1和ωc2的带通滤波器(ωc1<ωc2),程序中语句1(即黑体部分)应作何种修改?
资料一:几种窗函数的性能比较。
资料二:不同窗函数在MATLAB中的实现方法。

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one of the advantages of being self-employed is that the profit the business makes belongs to the owner.If the self.employed person is successful in business,he or she has the chance to earn great deal of money and even become wealthy.The profit earned by a self-employed per-son is the reward for his or her effort,ability,and creativity.Thus,a second advantage of be-ing self-employed is that a person’s intelligence and abilities have a direct effect on his of her earnings.People who have outstanding abilities or intelligence often find they can earn far more through seif-employment than they can through working as an employee.A thIrd adVantage ot being self-employed is that a person can control both the number of hours worked and the hours of work.While not all self-employed people are completely free to choose whatever hours they want to work,most of them have more control OYer this area than do the people who for salanes or wages. As with most things in life,being self-employed is not without problems.First,bemg one"s own boss places the responsibility for success directly on that individual’s shoulders.Abjl-ities and intelligence will be put to the test.Everyone has some weaknesses and is less capable in some things than in others.These weaknesses will affect how successful a self-employed Per-son is.Second,though the self-employed can eaITl considerable profits with a successful busi-ness,losses can force them out of business and,in some instances,place them In debt.A third disadvantage concerns income security.Self-employed people have no guaranteed wage.Their earnings can vary greatly from year to year,depending Off business conditions.Salaried people,on the other hand,can generally count on continued earnings from year to year.In addition,salaried people often enjoy fringe benefits that mean greater peace of mind.Fringe benefits are all of the benefits provided for employees in addition to wages and salaries.One of these benefits may be insurance paid for by the employer that continues the employee’salary in the event of sickness or accident.Many self-employed people do not have such protection,un-less they put money aside themselves.
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