Elektronik ve Haberleşme Mühendisliği Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/260
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Book Part Analog and Digital Filter Design(Springer Science and Business Media B.V., 2018) Gazi, O.In this chapter, we will study analog and digital filter design techniques. A filter is nothing but a linear time invariant (LTI) system. Any LTI system can be described using its impulse response. If the impulse response of a LTI system is known, then for any arbitrary input the system output can be calculated by taking the convolution of the impulse response and arbitrary input. This also means that filtering operation is nothing but a convolution operation. And filter design is nothing but finding the impulse response of a linear time invariant system. For this purpose, we can work either in time domain or frequency domain. © Springer Nature Singapore Pte Ltd. 2018.Book Citation - Scopus: 12Understanding digital signal processing(Springer Science and Business Media B.V., 2018) Gazi, O.Book Part Polarization Rate and Performance of Polar Codes(Springer Science and Business Media B.V., 2019) Gazi, O.In this chapter, we will mathematically state the channel polarization theorem and prove it. In addition, the performance of polar codes will be mathematically analyzed. © Springer Nature Singapore Pte Ltd. 2019.Book Part Polarization of Binary Erasure Channels(Springer Science and Business Media B.V., 2019) Gazi, O.In this chapter, we will demonstrate the calculation of split channel capacities when polar codes are employed for binary erasure channels. © Springer Nature Singapore Pte Ltd. 2019.Book Polar Codes: a Non-Trivial Approach To Channel Coding(Springer Science and Business Media B.V., 2019) Gazi, O.Polar codes are one of the recently discovered capacity achieving channel codes. What makes the polar codes different from other channel codes is that polar codes are designed mathematically and their performance are mathematically proven. © Springer Nature Singapore Pte Ltd. 2019.Book Part Citation - Scopus: 1Mathematical Modelling of Polar Codes, Channel Combining and Splitting(Springer Science and Business Media B.V., 2019) Gazi, O.In Chap. 2, we explained the decoding of polar codes in a clear and trivial manner. However, in most of the engineering sciences, it is critical to mathematically formulate the theories or techniques invented. © Springer Nature Singapore Pte Ltd. 2019.