hip(n) = (0.5)"u(n) %3D and you are asked to obtain a simple digital high-pass filter by tra prototype low-pass filter in the frequency domain by a rads. a) Write the mathematical expression of híp(n). b) By using MATLAB. Plot hu e(n) and hup(n) (use stem) function

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Assume that you are given a prototype low-pass filter with the impulse response
hip(n) = (0.5)"u(n)
and you are asked to obtain a simple digital high-pass filter by translating this
prototype low-pass filter in the frequency domain by a rads.
a) Write the mathematical expression of hhP(n).
b) By using MATLAB, Plot hµP(n) and hµp(n) (use stem() function to plot, use
functions xlabel() and ylabel() to label the axes).
Transcribed Image Text:Assume that you are given a prototype low-pass filter with the impulse response hip(n) = (0.5)"u(n) and you are asked to obtain a simple digital high-pass filter by translating this prototype low-pass filter in the frequency domain by a rads. a) Write the mathematical expression of hhP(n). b) By using MATLAB, Plot hµP(n) and hµp(n) (use stem() function to plot, use functions xlabel() and ylabel() to label the axes).
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