Please demonstrate MATLAB code needed to solve, thank you. For all parts of this

Question

Please demonstrate MATLAB code needed to solve, thank you.

For all parts of this problem the input signal is given by x[n] = 1+2 cos(0Arn + 0.2)+1.5 cos(0.6-04r) frequency 0.4 and passes the DC and 0.6 input components. Demonstrate your results using MATLAB. Hint: Examine how two of the terms of Hle" in problem 2 notched out the normalized frequency /3 normalized frequency 0.4 and passes the DC and 0.6 input components. What a) Design a second-order FIR filter that notches out the normalized b) Design an N-point moving averaging filter that notches out the c) Is it possible to design an M -point moving averaging filter that notches out the normalized frequency 0.6 and passes the DC and 0.4 input components? Explain.

Explanation / Answer

Executable code

Matlab code for A:

lowpassFilt = dsp.LowpassFilter('DesignForMinimumOrder',false, ...

'FilterOrder',N,'PassbandFrequency',Fp,'SampleRate',Fs,...

'PassbandRipple',0.01, 'StopbandAttenuation',80);

tic

while toc < 10

x = randn(256,1);

y = lowpassFilt(x);

scope(y);

end

vbwFilter = dsp.VariableBandwidthFIRFilter('CutoffFrequency',1e3);

tic

told = 0;

while toc < 10

t = toc;

if floor(t) > told

% Add 1 kHz every second

vbwFilter.CutoffFrequency = vbwFilter.CutoffFrequency + 1e3;

end

x = randn(256,1);

y = vbwFilter(x);

scope(y);

told = floor(t);

end

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