{"id":14318,"date":"2024-04-22T11:57:00","date_gmt":"2024-04-22T08:57:00","guid":{"rendered":"https:\/\/Muhandes.Net\/?p=14318"},"modified":"2024-04-22T11:11:19","modified_gmt":"2024-04-22T08:11:19","slug":"%d9%85%d8%b9%d8%a7%d9%8a%d9%86%d8%a9-%d8%ac%d9%88%d8%af%d8%a9-%d8%a7%d9%84%d9%82%d8%af%d8%b1%d8%a9-%d8%a7%d9%84%d9%83%d9%87%d8%b1%d8%a8%d8%a7%d8%a6%d9%8a%d8%a9-%d8%b9%d9%84%d9%89-%d8%a3%d8%b3%d8%a7","status":"publish","type":"post","link":"https:\/\/Muhandes.Net\/?p=14318","title":{"rendered":"\u0645\u0639\u0627\u064a\u0646\u0629 \u062c\u0648\u062f\u0629 \u0627\u0644\u0642\u062f\u0631\u0629 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a\u0629 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0627\u0644\u0627\u0633\u062a\u0634\u0639\u0627\u0631 \u0627\u0644\u0645\u0636\u063a\u0648\u0637"},"content":{"rendered":"\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" 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\u0643\u0645\u0627 \u064a\u062a\u0645 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0644\u0625\u0634\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0636\u0637\u0631\u0627\u0628\u060c \u0628\u062d\u064a\u062b \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0648\u0641\u0631 \u0625\u0639\u0627\u062f\u0629 \u0628\u0646\u0627\u0621 \u0648\u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a \u0644\u0641\u0626\u0629 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0625\u0634\u0627\u0631\u0627\u062a \u0627\u0644\u0627\u0636\u0637\u0631\u0627\u0628 \u0642\u062f\u0631\u0627\u064b \u0643\u0628\u064a\u0631\u0627\u064b \u0645\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0644\u0627\u0633\u062a\u0639\u0627\u062f\u0629 \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a.<\/p>\n\n\n\n<p>\u0643\u0645\u0627 \u064a\u0639\u062f \u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u0645\u0635\u0646\u0641 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\u0627\u0644\u062f\u0639\u0645 (SVM)\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0627\u0644\u0649 \u0627\u0644\u0634\u0628\u0643\u0629 \u0627\u0644\u0639\u0635\u0628\u064a\u0629 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a\u0629 \u0648\u0647\u0643\u0630\u0627\u060c \u0648\u0644\u0642\u062f \u062d\u0642\u0642\u062a \u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0627\u0644\u062a\u0642\u0644\u064a\u062f\u064a\u0629 \u0647\u0630\u0647 \u0646\u062a\u0627\u0626\u062c \u0645\u0639\u064a\u0646\u0629 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629.<\/p>\n\n\n\n<p><strong>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0634\u0639\u0627\u0631 \u0627\u0644\u0645\u0636\u063a\u0648\u0637 \u0644\u0627\u0643\u062a\u0633\u0627\u0628 \u0628\u064a\u0627\u0646\u0627\u062a PQD<\/strong><\/p>\n\n\n\n<p>\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645\u060c \u0633\u0648\u0641 \u064a\u062a\u0645 \u062a\u0642\u062f\u064a\u0645 \u0646\u0645\u0648\u0630\u062c \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0627\u0644\u0627\u0633\u062a\u0634\u0639\u0627\u0631 \u0627\u0644\u0645\u0636\u063a\u0648\u0637.<\/p>\n\n\n\n<p>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0634\u0639\u0627\u0631 \u0627\u0644\u0645\u0636\u063a\u0648\u0637: \u062a\u064f\u0638\u0647\u0631 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0634\u0639\u0627\u0631 \u0627\u0644\u0645\u0636\u063a\u0648\u0637 \u0623\u0646\u0647 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 (x) \u0646\u0641\u0633\u0647\u0627 \u0642\u0644\u064a\u0644\u0629 \u0623\u0648 \u062a\u0643\u0648\u0646 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0645\u062a\u0641\u0631\u0642\u0629 \u0639\u0644\u0649 \u0642\u0627\u0639\u062f\u0629 \u0645\u062a\u0639\u0627\u0645\u062f\u0629 (\u03a8)\u060c \u0643\u0645\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0627\u0642\u0628\u0629 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629 (\u03a6)\u060c \u0648\u0630\u0644\u0643 \u0644\u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0636\u063a\u0637 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0627\u0644\u062a\u062d\u0648\u0644 \u0627\u0644\u0645\u0643\u0627\u0646\u064a\u060c \u0628\u062d\u064a\u062b \u064a\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0645\u0642\u0627\u0633\u0629 (y) \u0644\u062a\u062d\u0627\u0641\u0638 \u0639\u0644\u0649 \u0628\u0646\u064a\u0629 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0648\u062a\u0643\u0648\u0646 \u0623\u0635\u063a\u0631 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 \u0637\u0648\u0644 \u0627\u0644\u0625\u0634\u0627\u0631\u0629\u060c \u062b\u0645 \u064a\u062a\u0645 \u0625\u0639\u0627\u062f\u0629 \u0628\u0646\u0627\u0621 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 (x) \u0628\u062f\u0642\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0644 \u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0631\u0642\u0645\u064a.<\/p>\n\n\n\n<p>\u0643\u0645\u0627 \u062a\u062d\u0635\u0644 \u0646\u0638\u0631\u064a\u0629 (CS) \u0645\u0628\u0627\u0634\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0645\u0636\u063a\u0648\u0637 \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u0643\u0645\u0627 \u062a\u0643\u0648\u0646 \u0645\u062a\u062c\u0627\u0647\u0644\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0648\u0633\u064a\u0637\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0625\u0634\u0627\u0631\u0629 (N-dimensional) \u0648\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u062e\u0627\u0635 \u0628\u0647\u0627 \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-36-700x282.png\" alt=\"\" class=\"wp-image-14319\" width=\"251\" height=\"101\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-36-700x282.png 700w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-36-900x363.png 900w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-36-768x310.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-36.png 942w\" sizes=\"(max-width: 251px) 100vw, 251px\" \/><\/figure>\n\n\n\n<p>\u062d\u064a\u062b \u0623\u0646:<\/p>\n\n\n\n<p>(x): \u0647\u064a \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0630\u0627\u062a \u0627\u0644\u0628\u0639\u062f (N \u00d7 1).<\/p>\n\n\n\n<p>(\u03a6): \u0647\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0631\u0627\u0642\u0628\u0629 \u0627\u0644\u0628\u0639\u062f [M \u00d7 N (M\u226aN)]\u060c \u0648\u0644\u0627 \u064a\u0648\u062c\u062f \u0633\u0648\u0649 [K (K\u226aN)]\u060c \u0648\u0647\u064a \u0639\u0646\u0627\u0635\u0631 \u063a\u064a\u0631 \u0635\u0641\u0631\u064a\u0629 \u0641\u064a (S) \u0648\u0647\u0648 \u0645\u062a\u062c\u0647 \u0645\u062a\u0646\u0627\u062b\u0631 (K) \u0630\u0648 \u0623\u0628\u0639\u0627\u062f (N).<\/p>\n\n\n\n<p>(\u0398 = \u03a6\u03c8): \u062a\u0633\u0645\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0627\u0633\u062a\u0634\u0639\u0627\u0631\u060c \u0628\u062d\u064a\u062b \u064a\u0633\u062a\u0639\u064a\u062f (CS) \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u062a\u0646\u0627\u062b\u0631 (S) \u0645\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0631\u0627\u0642\u0628\u0629 (y)\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0639\u064a\u062f \u0628\u0646\u0627\u0621 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 (X\u2227 = \u03c8S\u2227) \u0628\u062f\u0642\u0629.<\/p>\n\n\n\n<p>\u0648\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0641\u064a \u0627\u0644\u0633\u0627\u0628\u0642\u061b \u0641\u0625\u0646\u0647 \u064a\u0645\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062d\u0644 \u0627\u0644\u0645\u062a\u0646\u0627\u062b\u0631 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u062d\u0633\u064a\u0646 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0640 (l0 -norm) \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-37-700x185.png\" alt=\"\" class=\"wp-image-14320\" width=\"284\" height=\"75\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-37-700x185.png 700w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-37-900x237.png 900w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-37-768x203.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-37.png 948w\" sizes=\"(max-width: 284px) 100vw, 284px\" \/><\/figure>\n\n\n\n<p>\u062d\u064a\u062b \u0623\u0646:<\/p>\n\n\n\n<p>(|| S || 0): \u0647\u064a \u0627\u0644\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0644\u0640 (S)\u060c \u0648\u0644\u0643\u0646 \u0643\u0645\u0634\u0643\u0644\u0629 \u0628\u0631\u0645\u062c\u0629 \u063a\u064a\u0631 \u062e\u0637\u064a\u0629 \u0648\u0645\u0646 \u0627\u0644\u0635\u0639\u0628 \u062d\u0644\u0647\u0627\u060c \u0648\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0645\u062a\u0646\u0627\u062b\u0631 (\u03a8 \u060c \u03a6)\u060c \u0648\u0647\u064a \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u0633\u0643\u0629\u060c \u0643\u0645\u0627 \u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647\u0627 \u0644\u0644\u062d\u0644 (L1 -)\u060c \u0648\u0647\u064a \u0627\u0644\u0642\u0627\u0639\u062f\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-38-700x173.png\" alt=\"\" class=\"wp-image-14321\" width=\"292\" height=\"72\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-38-700x173.png 700w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-38-900x222.png 900w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-38-768x189.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-38.png 925w\" sizes=\"(max-width: 292px) 100vw, 292px\" \/><\/figure>\n\n\n\n<p>\u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0644\u0627\u0633\u062a\u0639\u0627\u062f\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u062a\u0646\u0627\u062b\u0631 (S\u2227) \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d\u061b \u0641\u0625\u0646\u0647 \u064a\u062c\u0628 \u0623\u0646 \u064a\u0641\u064a \u0628\u0645\u0627 \u064a\u0644\u064a:<\/p>\n\n\n\n<p>\u0627\u0644\u0628\u0639\u062f (M) \u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 (y) \u0648\u0627\u0644\u0630\u064a \u0644\u0647 (M = O [Klog (N)])\u060c \u062d\u064a\u062b (O) \u0647\u064a \u0645\u0634\u063a\u0644 \u0627\u0644\u062a\u0639\u0642\u064a\u062f \u0627\u0644\u062d\u0633\u0627\u0628\u064a.<br>\u062a\u062d\u062a\u0627\u062c \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0627\u0642\u0628\u0629 \u0625\u0644\u0649 \u062a\u0644\u0628\u064a\u0629 \u0645\u0639\u064a\u0627\u0631 \u062e\u0627\u0635\u064a\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0642\u064a\u062f\u0629 (RIP)\u060c \u0623\u064a \u0623\u0646 \u0647\u0646\u0627\u0643 \u062b\u0627\u0628\u062a\u0627\u064b \u0645\u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0628\u0639\u062f \u0645\u0642\u064a\u062f [\u03b4K\u2208 (0\u060c1)]\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0623\u064a \u0625\u0634\u0627\u0631\u0629 \u0645\u062a\u0641\u0631\u0642\u0629 (K)\u061b \u0641\u0625\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u062a\u0648\u0636\u062d \u0627\u0644\u0645\u0637\u0644\u0648\u0628.<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-39-700x164.png\" alt=\"\" class=\"wp-image-14322\" width=\"333\" height=\"78\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-39-700x164.png 700w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-39-900x211.png 900w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-39-768x180.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-39.png 949w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><\/figure>\n\n\n\n<p>\u0643\u0645\u0627 \u064a\u0645\u0643\u0646 \u062a\u062d\u0648\u064a\u0644 \u0647\u0630\u0627 \u0625\u0644\u0649 \u0645\u0634\u0643\u0644\u0629 \u062a\u062d\u0633\u064a\u0646 \u0645\u062d\u062f\u0628\u0629\u060c \u0628\u062d\u064a\u062b \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0631\u062e\u0627\u0621 \u0627\u0644\u0645\u062d\u062f\u0628 \u0644\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u0648\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0628\u062d\u062b\u060c \u0643\u0645\u0627 \u0623\u0639\u064a\u062f \u0628\u0646\u0627\u0621 \u0625\u0634\u0627\u0631\u0627\u062a (PQD) \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0645\u062a\u0627\u0628\u0639\u0629 \u0627\u0644\u0645\u0637\u0627\u0628\u0642\u0629 \u0627\u0644\u062a\u0643\u064a\u0641\u064a\u0629 (Sparsity).<\/p>\n\n\n\n<p><strong>\u062a\u062d\u062f\u064a\u062f \u0642\u0627\u0639\u062f\u0629 \u0636\u063a\u0637 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0628\u064a\u0627\u0646\u0627\u062a (PQD) \u0648\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0631\u0627\u0642\u0628\u0629<\/strong><\/p>\n\n\n\n<p>\u064a\u062d\u062a\u0627\u062c \u062c\u0645\u0639 \u0627\u0636\u0637\u0631\u0627\u0628\u0627\u062a \u062c\u0648\u062f\u0629 \u0627\u0644\u0637\u0627\u0642\u0629 \u0625\u0644\u0649 \u0627\u062a\u0628\u0627\u0639 \u0645\u0628\u062f\u0623\u064a\u0646\u060c \u0648\u0647\u0645\u0627 \u0623\u0648\u0644\u0627\u064b \u0645\u0646 \u0623\u062c\u0644 \u062a\u0642\u0644\u064a\u0644 \u0643\u0645\u064a\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0645 \u062c\u0645\u0639\u0647\u0627\u060c \u062d\u064a\u062b \u0627\u0641\u062a\u0631\u0636 (M\u226aN)\u060c \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649 \u0648\u0645\u0646 \u0623\u062c\u0644 \u0636\u0645\u0627\u0646 \u062c\u0648\u062f\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u061b \u0641\u0625\u0646\u0647 \u0645\u0646 \u0627\u0644\u0645\u0631\u063a\u0648\u0628 \u0641\u064a\u0647 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0628\u064a\u0627\u0646\u0627\u062a (PQD) \u0627\u0644\u0645\u0636\u063a\u0648\u0637\u0629 \u0643\u0627\u0641\u064a\u0629 \u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0636\u0637\u0631\u0627\u0628 \u062c\u0648\u062f\u0629 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0641\u0639\u0644\u064a\u060c \u0623\u064a \u0623\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0627\u0633\u062a\u0631\u062f\u0627\u062f (X\u2227) \u0623\u0642\u0631\u0628 \u0645\u0627 \u064a\u0645\u0643\u0646 \u0625\u0644\u0649 (X. X) \u0647\u064a \u0628\u064a\u0627\u0646\u0627\u062a (PQD) \u0627\u0644\u062a\u064a \u062a\u0641\u064a \u0628\u0646\u0638\u0631\u064a\u0629 \u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a (Nyquist).<\/p>\n\n\n\n<p>\u0643\u0645\u0627 \u064a\u062a\u0637\u0644\u0628 \u062a\u0644\u0628\u064a\u0629 \u0647\u0630\u064a\u0646 \u0627\u0644\u0645\u0628\u062f\u0623\u064a\u0646 \u062a\u062d\u0644\u064a\u0644\u0627\u064b \u0645\u0641\u0635\u0644\u0627\u064b \u0644\u0640 (PQD)\u060c \u0648\u0630\u0644\u0643 \u0646\u0638\u0631\u0627\u064b \u0644\u0623\u0646 \u0625\u0634\u0627\u0631\u0629 (PQD) \u0646\u0641\u0633\u0647\u0627 \u0644\u064a\u0633\u062a \u0625\u0634\u0627\u0631\u0629 \u0645\u062a\u0641\u0631\u0642\u0629\u061b \u0641\u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062a\u062d\u062f\u064a\u062f \u0623\u0633\u0627\u0633 \u0645\u062a\u0646\u0627\u062b\u0631 \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0625\u0634\u0627\u0631\u0629 (PQD) \u0645\u062a\u0641\u0631\u0642\u0629 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0645\u062a\u0646\u0627\u062b\u0631\u060c \u0643\u0645\u0627 \u062a\u0645 \u062a\u062d\u0644\u064a\u0644 (9) \u0646\u062a\u0627\u0626\u062c \u0627\u0636\u0637\u0631\u0627\u0628 \u0648\u0627\u062d\u062f \u0645\u0634\u062a\u0631\u0643 \u0648\u0625\u0634\u0627\u0631\u0627\u062a (PQD) \u0647\u064a \u0641\u064a \u0627\u0644\u063a\u0627\u0644\u0628 \u0625\u0634\u0627\u0631\u0627\u062a \u0645\u0646\u062e\u0641\u0636\u0629 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a \u0648 (PQD) \u0645\u062e\u062a\u0644\u0641\u0629 \u0641\u064a \u0627\u0644\u0625\u0634\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0642\u0627\u0633\u0629\u060c \u0648\u0645\u0646 \u0623\u062c\u0644 \u062a\u0628\u0633\u064a\u0637 \u0628\u0633\u0627\u0637\u0629 \u0627\u0644\u062c\u0647\u0627\u0632\u061b \u0641\u0625\u0646\u0647 \u064a\u0633\u062a\u062e\u062f\u0645 \u062a\u0642\u0646\u064a\u0629 (DCT) \u0643\u0623\u0633\u0627\u0633 \u0645\u062a\u0641\u0631\u0642.<\/p>\n\n\n\n<p>(DCT) \u0647\u064a \u0642\u0627\u0639\u062f\u0629 \u0628\u0633\u064a\u0637\u0629 \u0648\u0639\u0645\u0644\u064a\u0629 \u0645\u062a\u0641\u0631\u0642\u0629\u060c \u0643\u0645\u0627 \u0623\u0646 \u0645\u064a\u0632\u062a\u0647\u0627 \u0647\u064a \u0642\u0627\u0628\u0644\u064a\u062a\u0647\u0627 \u0644\u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0642\u0648\u064a\u060c \u0628\u062d\u064a\u062b \u064a\u0645\u0643\u0646 \u062a\u0637\u0628\u064a\u0642\u0647 \u0639\u0644\u0649 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0625\u0634\u0627\u0631\u0627\u062a (PQD)\u060c \u0648\u0647\u064a\u0643\u0644\u0647 \u0628\u0633\u064a\u0637 \u0648\u0633\u0647\u0644 \u0627\u0644\u062a\u0646\u0641\u064a\u0630 \u0641\u064a \u0627\u0644\u0623\u062c\u0647\u0632\u0629\u060c \u0628\u062d\u064a\u062b \u064a\u0638\u0647\u0631 \u062a\u0645\u062b\u064a\u0644 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u062d\u0648\u064a\u0644 \u0644\u0640 (DCT)\u060c \u0648\u0630\u0644\u0643 \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-40-700x166.png\" alt=\"\" class=\"wp-image-14323\" width=\"376\" height=\"89\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-40-700x166.png 700w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-40-900x213.png 900w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-40-768x182.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-40.png 971w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><\/figure>\n\n\n\n<p>\u062d\u064a\u062b i\u2208 {0\u060c\u2026\u060c N \u2212 1} \u0648 (j\u2208 {0\u060c\u2026\u060c N \u2212 1}) \u062a\u0645\u062b\u0644 \u0631\u0642\u0645 \u0627\u0644\u0635\u0641 \u0648\u0631\u0642\u0645 \u0627\u0644\u0639\u0645\u0648\u062f \u0641\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u060c \u0643\u0645\u0627 \u0648\u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 (C) \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-41-700x378.png\" alt=\"\" class=\"wp-image-14324\" width=\"230\" height=\"124\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-41-700x378.png 700w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-41-900x486.png 900w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-41-768x415.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-41.png 920w\" sizes=\"(max-width: 230px) 100vw, 230px\" \/><\/figure>\n\n\n\n<p>\u0648\u0646\u0638\u0631\u0627\u064b \u0644\u0623\u0646 \u0645\u0635\u0641\u0648\u0641\u0629 (DCT) \u0645\u062a\u0639\u0627\u0645\u062f\u0629\u061b \u0641\u0625\u0646\u0647 \u064a\u0645\u0643\u0646 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u0639\u0643\u0648\u0633\u0629 \u0628\u0628\u0633\u0627\u0637\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0625\u062c\u0631\u0627\u0621 \u0639\u0645\u0644\u064a\u0629 \u062a\u0628\u062f\u064a\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0643\u0645\u0627 \u0647\u0648 \u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-42-700x350.png\" alt=\"\" class=\"wp-image-14325\" width=\"201\" height=\"101\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-42-700x350.png 700w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-42-900x450.png 900w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-42-768x384.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-42-660x330.png 660w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-42.png 907w\" sizes=\"(max-width: 201px) 100vw, 201px\" \/><\/figure>\n\n\n\n<p>\u0643\u0645\u0627 \u064a\u062a\u0645 \u062a\u0646\u0627\u062b\u0631 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 (DCT) \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0631\u0643\u064a\u0632 \u0645\u0639\u0638\u0645 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0641\u064a \u0628\u0639\u0636 \u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0645\u0646\u062e\u0641\u0636\u060c \u0643\u0645\u0627 \u062a\u0645\u064a\u0644 \u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a \u0627\u0644\u0639\u0627\u0644\u064a \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u0629 \u0625\u0644\u0649 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0644\u0647\u0627 \u0642\u064a\u0645 \u0623\u0642\u0644 \u0648\u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u062e\u0644\u0635 \u0645\u0646\u0647\u0627 \u062f\u0648\u0646 \u062e\u0633\u0627\u0631\u0629 \u0643\u0628\u064a\u0631\u0629\u060c \u0628\u062d\u064a\u062b \u064a\u0648\u0636\u062d \u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u0625\u0639\u0627\u062f\u0629 \u0628\u0646\u0627\u0621 \u0627\u0644\u0636\u063a\u0637 \u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u062a\u0631\u0647\u0644 \u0648\u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0645\u062a\u0646\u0627\u062b\u0631 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 (IDCT) \u0648\u062e\u0637\u0623 \u0625\u0639\u0627\u062f\u0629 \u0628\u0646\u0627\u0621 \u0627\u0644\u0636\u063a\u0637\u060c \u0643\u0645\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u0646\u0631\u0649 \u0645\u0646 \u0646\u062a\u0627\u0626\u062c \u0625\u0639\u0627\u062f\u0629 \u0628\u0646\u0627\u0621 \u0627\u0644\u0636\u063a\u0637 \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0625\u0639\u0627\u062f\u0629 \u0628\u0646\u0627\u0621 (PQD) \u0628\u0627\u0644\u0643\u0627\u0645\u0644 \u0648\u0623\u0646 \u062e\u0637\u0623 \u0625\u0639\u0627\u062f\u0629 \u0627\u0644\u0628\u0646\u0627\u0621 \u064a\u0642\u0639 \u0636\u0645\u0646 \u0627\u0644\u0646\u0637\u0627\u0642 \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647.<\/p>\n\n\n\n<figure class=\"wp-block-image size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-43-663x700.png\" alt=\"\" class=\"wp-image-14326\" width=\"401\" height=\"423\" srcset=\"https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-43-663x700.png 663w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-43-768x810.png 768w, https:\/\/Muhandes.Net\/wp-content\/uploads\/2023\/11\/image-43.png 796w\" sizes=\"(max-width: 401px) 100vw, 401px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u062d\u0644\u064a\u0644 \u0645\u0639\u0627\u064a\u0646\u0629 \u062c\u0648\u062f\u0629 \u0627\u0644\u0642\u062f\u0631\u0629 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a\u0629 \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0627\u0644\u0627\u0633\u062a\u0634\u0639\u0627\u0631 \u0627\u0644\u0645\u0636\u063a\u0648\u0637 \u0645\u0639 \u0648\u062c\u0648\u062f \u0639\u062f\u062f \u0643\u0628\u064a\u0631 \u0645\u0646 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u0648\u0632\u0639\u0629 \u0648\u0627\u0644\u0645\u0631\u0643\u0628\u0627\u062a \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a\u0629 \u0648\u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0627\u0644\u0645\u062a\u0635\u0644\u0629 \u0628\u0627\u0644\u0634\u0628\u0643\u0629 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a\u0629\u060c \u0638\u0647\u0631\u062a \u0627\u0636\u0637\u0631\u0627\u0628\u0627\u062a \u062c\u0648\u062f\u0629 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 (PQD)\u060c \u0643\u0645\u0627 \u064a\u062a\u0645 \u062c\u0645\u0639 \u0627\u0644\u0645\u0632\u064a\u062f \u0648\u0627\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0628\u064a\u0627\u0646\u0627\u062a \u062c\u0648\u062f\u0629 \u0627\u0644\u0637\u0627\u0642\u0629 \u0628\u0633\u0628\u0628 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0639\u062f\u0627\u062f\u0627\u062a \u0627\u0644\u0630\u0643\u064a\u0629 \u0648\u0623\u062c\u0647\u0632\u0629 \u0627\u0644\u0627\u0633\u062a\u062d\u0648\u0627\u0630 \u0627\u0644\u0630\u0643\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0648\u0641\u064a \u0627\u0644\u0648\u0642\u062a \u0646\u0641\u0633\u0647 \u064a\u0641\u0631\u0636 \u062a\u0648\u0644\u064a\u062f \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0644\u0637\u0627\u0642\u0629 &hellip;<\/p>\n","protected":false},"author":1,"featured_media":14327,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47],"tags":[],"class_list":["post-14318","post","type-post","status-publish","format-standard","has-post-thumbnail","","category-47"],"_links":{"self":[{"href":"https:\/\/Muhandes.Net\/index.php?rest_route=\/wp\/v2\/posts\/14318"}],"collection":[{"href":"https:\/\/Muhandes.Net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/Muhandes.Net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/Muhandes.Net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/Muhandes.Net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14318"}],"version-history":[{"count":1,"href":"https:\/\/Muhandes.Net\/index.php?rest_route=\/wp\/v2\/posts\/14318\/revisions"}],"predecessor-version":[{"id":14328,"href":"https:\/\/Muhandes.Net\/index.php?rest_route=\/wp\/v2\/posts\/14318\/revisions\/14328"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/Muhandes.Net\/index.php?rest_route=\/wp\/v2\/media\/14327"}],"wp:attachment":[{"href":"https:\/\/Muhandes.Net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/Muhandes.Net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/Muhandes.Net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}