{"id":670,"date":"2022-03-06T13:35:31","date_gmt":"2022-03-06T18:35:31","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/?post_type=chapter&#038;p=670"},"modified":"2022-03-06T13:56:39","modified_gmt":"2022-03-06T18:56:39","slug":"communication-system-model","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/chapter\/communication-system-model\/","title":{"raw":"Communication System Model","rendered":"Communication System Model"},"content":{"raw":"<strong>Objective: <\/strong>\r\n\r\nTo investigate the response of a communication channel to a pulse signal.\r\n\r\n<strong>Procedure:<\/strong>\r\n\r\n1 . Using Matlab write the code to model the following impulse response (h(t)) of the channel in terms of step function. Note that T<sub>h<\/sub>=1 second\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_674\" align=\"aligncenter\" width=\"311\"]<img class=\"wp-image-674\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-1024x709.jpg\" alt=\"\" width=\"311\" height=\"215\" \/> Fig. 14.1 Impulse response of the system[\/caption]\r\n\r\n2. Plot the impulse response in Matlab.\r\n\r\n3. Signal x<sub>1<\/sub>(t) with T<sub>p<\/sub>=2 seconds goes through the communication channel with impulse response h(t). Using Matlab find the output signal of the communication channel.\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_675\" align=\"aligncenter\" width=\"451\"]<img class=\" wp-image-675\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-1024x397.jpg\" alt=\"\" width=\"451\" height=\"175\" \/> Fig. 14.2 input signal[\/caption]\r\n\r\n&nbsp;\r\n\r\n4. Apply x<sub>2<\/sub>(t) signal with\u00a0T<sub>p<\/sub>=2 seconds to the communication channel with impulse response h(t). Use Matlab to sketch the output signal of the communication channel.\u00a0 If the response of the positive and negative portions of x<sub>2<\/sub>(t) are represented by \u201c1\u201d and \u201c0\u201d symbols respectively, do you see inter-symbol interference when the signal x<sub>2<\/sub>(t) passes through the communication channel? What solution can you suggest to avoid the symbol interference?\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_676\" align=\"aligncenter\" width=\"474\"]<img class=\" wp-image-676\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-1024x544.jpg\" alt=\"\" width=\"474\" height=\"252\" \/> Fig. 14.3[\/caption]\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n5.\u00a0 Cascade two communication channels as shown in the figure below and apply the input signal x<sub>1<\/sub>(t) . Plot the output signal z<sub>1<\/sub>(t).\r\n\r\n&nbsp;\r\n\r\n[caption id=\"attachment_677\" align=\"aligncenter\" width=\"637\"]<img class=\" wp-image-677\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-1024x392.jpg\" alt=\"\" width=\"637\" height=\"244\" \/> Fig. 14.4[\/caption]\r\n\r\n&nbsp;\r\n\r\n6. What will be the output if three communication systems with impulse response h(t) are cascaded and the signal\u00a0 x<sub>1<\/sub>(t) is applied to the input? What if there are 4 cascaded systems?\r\n\r\n7. Can you guess what will happen to the output if cascade more number of communication systems with impulse response h(t) and apply the signal x<sub>1<\/sub>(t) ?","rendered":"<p><strong>Objective: <\/strong><\/p>\n<p>To investigate the response of a communication channel to a pulse signal.<\/p>\n<p><strong>Procedure:<\/strong><\/p>\n<p>1 . Using Matlab write the code to model the following impulse response (h(t)) of the channel in terms of step function. Note that T<sub>h<\/sub>=1 second<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_674\" aria-describedby=\"caption-attachment-674\" style=\"width: 311px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-674\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-1024x709.jpg\" alt=\"\" width=\"311\" height=\"215\" srcset=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-1024x709.jpg 1024w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-300x208.jpg 300w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-768x532.jpg 768w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-1536x1064.jpg 1536w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-2048x1418.jpg 2048w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-65x45.jpg 65w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-225x156.jpg 225w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.1-350x242.jpg 350w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><figcaption id=\"caption-attachment-674\" class=\"wp-caption-text\">Fig. 14.1 Impulse response of the system<\/figcaption><\/figure>\n<p>2. Plot the impulse response in Matlab.<\/p>\n<p>3. Signal x<sub>1<\/sub>(t) with T<sub>p<\/sub>=2 seconds goes through the communication channel with impulse response h(t). Using Matlab find the output signal of the communication channel.<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_675\" aria-describedby=\"caption-attachment-675\" style=\"width: 451px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-675\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-1024x397.jpg\" alt=\"\" width=\"451\" height=\"175\" srcset=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-1024x397.jpg 1024w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-300x116.jpg 300w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-768x298.jpg 768w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-1536x595.jpg 1536w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-2048x794.jpg 2048w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-65x25.jpg 65w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-225x87.jpg 225w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.2-350x136.jpg 350w\" sizes=\"auto, (max-width: 451px) 100vw, 451px\" \/><figcaption id=\"caption-attachment-675\" class=\"wp-caption-text\">Fig. 14.2 input signal<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>4. Apply x<sub>2<\/sub>(t) signal with\u00a0T<sub>p<\/sub>=2 seconds to the communication channel with impulse response h(t). Use Matlab to sketch the output signal of the communication channel.\u00a0 If the response of the positive and negative portions of x<sub>2<\/sub>(t) are represented by \u201c1\u201d and \u201c0\u201d symbols respectively, do you see inter-symbol interference when the signal x<sub>2<\/sub>(t) passes through the communication channel? What solution can you suggest to avoid the symbol interference?<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_676\" aria-describedby=\"caption-attachment-676\" style=\"width: 474px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-676\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-1024x544.jpg\" alt=\"\" width=\"474\" height=\"252\" srcset=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-1024x544.jpg 1024w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-300x160.jpg 300w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-768x408.jpg 768w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-1536x817.jpg 1536w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-2048x1089.jpg 2048w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-65x35.jpg 65w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-225x120.jpg 225w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.3-350x186.jpg 350w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><figcaption id=\"caption-attachment-676\" class=\"wp-caption-text\">Fig. 14.3<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>5.\u00a0 Cascade two communication channels as shown in the figure below and apply the input signal x<sub>1<\/sub>(t) . Plot the output signal z<sub>1<\/sub>(t).<\/p>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_677\" aria-describedby=\"caption-attachment-677\" style=\"width: 637px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-677\" src=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-1024x392.jpg\" alt=\"\" width=\"637\" height=\"244\" srcset=\"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-1024x392.jpg 1024w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-300x115.jpg 300w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-768x294.jpg 768w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-1536x589.jpg 1536w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-2048x785.jpg 2048w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-65x25.jpg 65w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-225x86.jpg 225w, https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-content\/uploads\/sites\/1435\/2022\/03\/Fig14.4-350x134.jpg 350w\" sizes=\"auto, (max-width: 637px) 100vw, 637px\" \/><figcaption id=\"caption-attachment-677\" class=\"wp-caption-text\">Fig. 14.4<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p>6. What will be the output if three communication systems with impulse response h(t) are cascaded and the signal\u00a0 x<sub>1<\/sub>(t) is applied to the input? What if there are 4 cascaded systems?<\/p>\n<p>7. Can you guess what will happen to the output if cascade more number of communication systems with impulse response h(t) and apply the signal x<sub>1<\/sub>(t) ?<\/p>\n","protected":false},"author":197,"menu_order":27,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-670","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/pressbooks\/v2\/chapters\/670","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/wp\/v2\/users\/197"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/pressbooks\/v2\/chapters\/670\/revisions"}],"predecessor-version":[{"id":678,"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/pressbooks\/v2\/chapters\/670\/revisions\/678"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/pressbooks\/v2\/chapters\/670\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/wp\/v2\/media?parent=670"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/pressbooks\/v2\/chapter-type?post=670"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/wp\/v2\/contributor?post=670"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/sysmodeling\/wp-json\/wp\/v2\/license?post=670"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}