Consider an ideal lowpass filter with impulse response h1p[n] and frequency response
(a) A new filter is defined by the equation Determine an equation for the frequency response of H1(ejω), and plot the equation for |ω| < π. What kind of filter is this?
(b) A second filter is defined by the equation h2[n] = 2h1p[n] cos(0.5πn). Determine the equation for the frequency response H2(ejω), and plot the equation for |ω| < π.What kind of filter is this?
(c) A third filter is defined by the equation
Determine the equation for the frequency response H3(ejω), and plot the equation for |ω| < π.What kind of filter is this?
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