Question

Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to calculate the system response y(n)for n 0, 1, 2, 3, 4 with the input of x(n (0.5) u(n)and initial conditions x(-1)--1, y(-2) -2, and y(-1)-1 b. Use MATLAB function filter!) to calculate the system response y(n) for n-0, 1, 2, 3,4 with the input of x(n) (0.5)"u(n)and zero initial conditions x(-1)-0, (-2)-0, and y(-1)-0 Design a 5-tap FIR low pass filter with a cutoff frequency of 100 Hz and a sampling rate of 1000 Hz using a 7. a. Rectangular window function b. Hamming window function Determine the transfer function and difference equation of the designed FIR system, and compute and plot the magnitude frequency response for S-0, ? / 4,7/2,37/2, an d ? radians. 8. Design a 5-tap FIR bigbpass.filter with a cutoff frequency of 250 Hz and a sampling rate of 1000 Hz using a a. Rectangular window function b. Hamming window function Determine the transfer function and difference equation of the designed FIR system, and compute and plot the magnitude frequency response for ?-o;?/4, ? / 2.3r/2, an d ? radians Design a 5-tap FIR bandpass filter with a lower cutoff frequency of 1600 Hz and upper cutoff frequency of 1800 Hz and a sampling rate of 8000 Hz using a Rectangular window function Hamming window function a. b. Determine the transfer function and difference equation of the designed FIR suctam

Answer 1

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Copyable Code:

n=0:4;

for i=0:(length(n)-1)

x(i+1)=((0.5)^n(i+1));

end

b=1;

a=[1 0.75 0.125];

s1i=-1;

s2i=[1 2];

z=filtic(b,a,s2i,s1i);

y=filter(b,a,x,z);

subplot(2,1,1);

stem(0:4,y);

y=filter(b,a,x);

subplot(2,1,2);

stem(0:4,y);

Copyable Code:

n=0:4;

for i=0:(length(n)-1)

x(i+1)=((0.5)^n(i+1));

end

b=1;

a=[1 0.75 0.125];

s1i=0;

s2i=[0 0];

y=filter(b,a,x);

subplot(2,1,1);

stem(0:4,y);