[amp_mcq option1=”It has two more poles at 0.5<30\u00c2\u00b0 and 4<0\u00c2\u00b0\" option2=\"It is stable only when the impulse response is two-sided\" option3=\"It has constant phase response over all frequencies\" option4=\"It has constant phase response over the entire z-plane\" correct=\"option3\"]<\/p>\n
The correct answer is: C. It has constant phase response over all frequencies.<\/strong><\/p>\n An all-pass filter is a linear time-invariant (LTI) filter with a constant group delay. This means that the phase response of the filter is constant over all frequencies. The poles of an all-pass filter are located on the unit circle in the z-plane.<\/p>\n In this case, the system has two poles at 0.25<0\u00c2\u00b0 and 2<30\u00c2\u00b0. These poles are located on the unit circle in the z-plane, which means that the system is an all-pass filter. The phase response of an all-pass filter is constant over all frequencies, so the system has constant phase response over all frequencies.<\/p>\n The other options are incorrect. Option A is incorrect because the system does not have two more poles at 0.5<30\u00c2\u00b0 and 4<0\u00c2\u00b0. Option B is incorrect because the system is stable regardless of whether the impulse response is two-sided or one-sided. Option D is incorrect because the system does not have constant phase response over the entire z-plane.<\/p>\n","protected":false},"excerpt":{"rendered":" [amp_mcq option1=”It has two more poles at 0.5<30\u00c2\u00b0 and 4<0\u00c2\u00b0” option2=”It is stable only when the impulse response is two-sided” option3=”It has constant phase response over all frequencies” option4=”It has constant phase response over the entire z-plane” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[959],"tags":[],"class_list":["post-57667","post","type-post","status-publish","format-standard","hentry","category-signal-processing","no-featured-image-padding"],"yoast_head":"\n