{"id":19538,"date":"2024-04-15T05:40:48","date_gmt":"2024-04-15T05:40:48","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=19538"},"modified":"2024-04-15T05:40:48","modified_gmt":"2024-04-15T05:40:48","slug":"in-a-direct-sequence-cdma-system-the-chip-rate-is-1-2288-a%c2%97-106-chips-per-second-if-the-processing-gain-is-desired-to-be-at-least-100-the-data-rate-a-must-be-less-than-or-equal-to-12-288-a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-a-direct-sequence-cdma-system-the-chip-rate-is-1-2288-a%c2%97-106-chips-per-second-if-the-processing-gain-is-desired-to-be-at-least-100-the-data-rate-a-must-be-less-than-or-equal-to-12-288-a\/","title":{"rendered":"In a Direct Sequence CDMA system the chip rate is 1.2288 \u00c3\u0097 106 chips per second. If the processing gain is desired to be AT LEAST 100, the data rate A. Must be less than or equal to 12.288 \u00c3\u0097 10 bits per second B. Must be greater than 12.288 \u00c3\u0097 103 bits per second C. Must be exactly equal to 12.288 \u00c3\u0097 103 bits per second D. Can take any value less than 122.88 \u00c3\u0097 103 bits per second"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Must be less than or equal to 12.288 \u00c3\u0097 10 bits per second&#8221; option2=&#8221;Must be greater than 12.288 \u00c3\u0097 103 bits per second&#8221; option3=&#8221;Must be exactly equal to 12.288 \u00c3\u0097 103 bits per second&#8221; option4=&#8221;Can take any value less than 122.88 \u00c3\u0097 103 bits per second&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>A. Must be less than or equal to 12.288 \u00c3\u0097 103 bits per second<\/strong><\/p>\n<p>The processing gain is defined as the ratio of the bandwidth of the transmitted signal to the bandwidth of the received signal. In a Direct Sequence CDMA system, the bandwidth of the transmitted signal is equal to the chip rate. The bandwidth of the received signal is equal to the data rate. Therefore, the processing gain is given by:<\/p>\n<p>$$G = \\frac{B_t}{B_r} = \\frac{f_c}{f_d}$$<\/p>\n<p>where $f_c$ is the chip rate and $f_d$ is the data rate.<\/p>\n<p>The processing gain is desired to be at least 100. Therefore, we have:<\/p>\n<p>$$G \\geq 100 = \\frac{f_c}{f_d}$$<\/p>\n<p>$$f_d \\leq \\frac{f_c}{100} = \\frac{1.2288 \\times 10^6}{100} = 1.2288 \\times 10^3$$<\/p>\n<p>Therefore, the data rate must be less than or equal to 12.288 kilobits per second.<\/p>\n<p>Option B is incorrect because the data rate must be less than or equal to 12.288 kilobits per second, not greater than.<\/p>\n<p>Option C is incorrect because the data rate must be less than or equal to 12.288 kilobits per second, not exactly equal to 12.288 kilobits per second.<\/p>\n<p>Option D is incorrect because the data rate must be less than or equal to 12.288 kilobits per second, not any value less than 122.88 kilobits per second.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Must be less than or equal to 12.288 \u00c3\u0097 10 bits per second&#8221; option2=&#8221;Must be greater than 12.288 \u00c3\u0097 103 bits per second&#8221; option3=&#8221;Must be exactly equal to 12.288 \u00c3\u0097 103 bits per second&#8221; option4=&#8221;Can take any value less than 122.88 \u00c3\u0097 103 bits per second&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[685],"tags":[],"class_list":["post-19538","post","type-post","status-publish","format-standard","hentry","category-information-theory-and-coding","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>In a Direct Sequence CDMA system the chip rate is 1.2288 \u00c3\u0097 106 chips per second. If the processing gain is desired to be AT LEAST 100, the data rate A. Must be less than or equal to 12.288 \u00c3\u0097 10 bits per second B. Must be greater than 12.288 \u00c3\u0097 103 bits per second C. Must be exactly equal to 12.288 \u00c3\u0097 103 bits per second D. Can take any value less than 122.88 \u00c3\u0097 103 bits per second<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/in-a-direct-sequence-cdma-system-the-chip-rate-is-1-2288-a\u0097-106-chips-per-second-if-the-processing-gain-is-desired-to-be-at-least-100-the-data-rate-a-must-be-less-than-or-equal-to-12-288-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In a Direct Sequence CDMA system the chip rate is 1.2288 \u00c3\u0097 106 chips per second. If the processing gain is desired to be AT LEAST 100, the data rate A. Must be less than or equal to 12.288 \u00c3\u0097 10 bits per second B. Must be greater than 12.288 \u00c3\u0097 103 bits per second C. Must be exactly equal to 12.288 \u00c3\u0097 103 bits per second D. 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If the processing gain is desired to be AT LEAST 100, the data rate A. Must be less than or equal to 12.288 \u00c3\u0097 10 bits per second B. Must be greater than 12.288 \u00c3\u0097 103 bits per second C. Must be exactly equal to 12.288 \u00c3\u0097 103 bits per second D. Can take any value less than 122.88 \u00c3\u0097 103 bits per second","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/in-a-direct-sequence-cdma-system-the-chip-rate-is-1-2288-a\u0097-106-chips-per-second-if-the-processing-gain-is-desired-to-be-at-least-100-the-data-rate-a-must-be-less-than-or-equal-to-12-288-a\/","og_locale":"en_US","og_type":"article","og_title":"In a Direct Sequence CDMA system the chip rate is 1.2288 \u00c3\u0097 106 chips per second. If the processing gain is desired to be AT LEAST 100, the data rate A. Must be less than or equal to 12.288 \u00c3\u0097 10 bits per second B. Must be greater than 12.288 \u00c3\u0097 103 bits per second C. Must be exactly equal to 12.288 \u00c3\u0097 103 bits per second D. 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