transformasi z - unri.ac.id
TRANSCRIPT
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TRANSFORMASI ZFEBRIZAL, MT
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Pendahuluan
• Transformasi Laplace digunakan untuk fungsi kontinyu dan bisa digunakan untuk menyelesaikan banyak persamaan diferensial.
• Jika kita dihadapkan dengan fungsi diskrit, maka kita harus menggunakan transformasi Z
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Deret
• Deret adalah pernyataan umum dari bentuk 3k dan notasi ringkas dari deret tsb bisa digunakan
• Jumlah
Disebut sebagai transformasi Z dari deret, Z
Dan dinotasikan dengan F(z), kita katakan bahwa
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• untuk keperluan kita, kita hanya akan mempertimbangkan deret kausal dengan bentuk
• Untuk menyingkatnya kita bisa menuliskan dengan dengan menghubungkan pada transformasi Z
• Catat bahwa ini adalah definisi dari transformasi Z dari deret
• Sebagai contoh, deret unit impuls mempunyai transformasi Z
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Tabel Transformasi Z
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Sifat-sifat Transformasi Z
1. Linieritas
Transformasi Z adalah transformasi linier, yaitu jika a dan b adalah konstanta maka;
Sebagai contoh;
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LATIHAN