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Trellis codes for multi-amplitud minimum shift keying modulation

  1. Tez No: 39480
  2. Yazar: İLKNUR AKKAYA
  3. Danışmanlar: DOÇ.DR. H. ÜMİT AYGÖLÜ
  4. Tez Türü: Yüksek Lisans
  5. Konular: Elektrik ve Elektronik Mühendisliği, Electrical and Electronics Engineering
  6. Anahtar Kelimeler: Belirtilmemiş.
  7. Yıl: 1994
  8. Dil: Türkçe
  9. Üniversite: İstanbul Teknik Üniversitesi
  10. Enstitü: Fen Bilimleri Enstitüsü
  11. Ana Bilim Dalı: Belirtilmemiş.
  12. Bilim Dalı: Belirtilmemiş.
  13. Sayfa Sayısı: 76

Özet

Conventional convolutional codes are normally optimized in terms of their free Hamming distance[11], [12]. These codes can also be combined with continuous phase modulation (CPM) or specifically CPFSK. A larger class of schemes is obtained by combining convolutional coding with CPM[13]. In [13], Lindell and Sundberg is optimized the Euclidean distance for combination of the channel coding and CPFSK modulation. In a code trellis minimum merge length is increased by prior encoding of the data symbols, generally, the longer the merge length, the larger the minimum normalized squared Euclidean distance and hence the better the error performance. This is the one of the reasons that coding is used in conjunction with CPM. Error performance analysis of an arbitrary trellis code is different from that of binary convolutional code due to the nonlinearity induced by the memoryless mapper. For a nonlinear code the Euclidean distance between any incorrect path and the correct path is dependent upon the correct path. Biglieri[14], has proposed a method based on generalized generating function which involves an error state diagram where the number of states is equal to the square of the number of trellis states. But this method is impractical for codes with more than 2 or 4 states. For example a code with 8 trellis states requires 64 states in its error state diagram to compute the generalized generating function. Zehavi and Wolf[15] showed that the modified generating function can be calculated from error state diagram with number of states equal to that of the encoder trellis if the code satisfy some symmetry properties. Most of the Ungerboeck' s type codes satisfy these properties. Bounds on the bit-error or error-event probabilities can be then derived. In this thesis, an extended version of minimum shift keying known as multi-amplitude minimum shift keying is considered and its inherent trellis structure with four states is explored. After that, optimum combination of convolutional codes and multi-amplitude minimum shift keying modulation is suggested. In the second chapter of the thesis, minimum shift keying modulation is explained in detail and inherent error control properties of this modulation scheme is examined. Than, trellis coded-modulation technique and free Euclidean distance calculation algorithm are presented. In the third chapter, the extended version of minimum shift keying which have multi-amplitudes signals known as multi-amplitude minimum shift keying modulation (MAMSK), is considered. A trellis code structure for multi- amplitude minimum shift keying is obtained with prescribed initial phases IX

Özet (Çeviri)

and amplitudes. The MAMSK is then presented in coded-modulation scheme. After that, error performance of uncoded MAMSK signal is investigated. in chapter four, in order to improve the error performance of multi- amplitude minimum shift keying, the optimum combinations of convolutional codes and multi-amplitude minimum shift keying modulation are explored. VVith R=1/2, K=1 coded MAMSK modulation, an asymptotic coding gain of 6.5 dB över uncoded MAMSK modulation is obtained. R=1/2, K=2 coded MAMSK modulation offers an asymptotic coding gain of 7 dB över uncoded modulation.Conventional convolutional codes are normally optimized in terms of their free Hamming distance[11], [12]. These codes can also be combined with continuous phase modulation (CPM) or specifically CPFSK. A larger class of schemes is obtained by combining convolutional coding with CPM[13]. In [13], Lindell and Sundberg is optimized the Euclidean distance for combination of the channel coding and CPFSK modulation. In a code trellis minimum merge length is increased by prior encoding of the data symbols, generally, the longer the merge length, the larger the minimum normalized squared Euclidean distance and hence the better the error performance. This is the one of the reasons that coding is used in conjunction with CPM. Error performance analysis of an arbitrary trellis code is different from that of binary convolutional code due to the nonlinearity induced by the memoryless mapper. For a nonlinear code the Euclidean distance between any incorrect path and the correct path is dependent upon the correct path. Biglieri[14], has proposed a method based on generalized generating function which involves an error state diagram where the number of states is equal to the square of the number of trellis states. But this method is impractical for codes with more than 2 or 4 states. For example a code with 8 trellis states requires 64 states in its error state diagram to compute the generalized generating function. Zehavi and Wolf[15] showed that the modified generating function can be calculated from error state diagram with number of states equal to that of the encoder trellis if the code satisfy some symmetry properties. Most of the Ungerboeck' s type codes satisfy these properties. Bounds on the bit-error or error-event probabilities can be then derived. In this thesis, an extended version of minimum shift keying known as multi-amplitude minimum shift keying is considered and its inherent trellis structure with four states is explored. After that, optimum combination of convolutional codes and multi-amplitude minimum shift keying modulation is suggested. In the second chapter of the thesis, minimum shift keying modulation is explained in detail and inherent error control properties of this modulation scheme is examined. Than, trellis coded-modulation technique and free Euclidean distance calculation algorithm are presented. In the third chapter, the extended version of minimum shift keying which have multi-amplitudes signals known as multi-amplitude minimum shift keying modulation (MAMSK), is considered. A trellis code structure for multi- amplitude minimum shift keying is obtained with prescribed initial phases IXand amplitudes. The MAMSK is then presented in coded-modulation scheme. After that, error performance of uncoded MAMSK signal is investigated. in chapter four, in order to improve the error performance of multi- amplitude minimum shift keying, the optimum combinations of convolutional codes and multi-amplitude minimum shift keying modulation are explored. VVith R=1/2, K=1 coded MAMSK modulation, an asymptotic coding gain of 6.5 dB över uncoded MAMSK modulation is obtained. R=1/2, K=2 coded MAMSK modulation offers an asymptotic coding gain of 7 dB över uncoded modulation.Conventional convolutional codes are normally optimized in terms of their free Hamming distance[11], [12]. These codes can also be combined with continuous phase modulation (CPM) or specifically CPFSK. A larger class of schemes is obtained by combining convolutional coding with CPM[13]. In [13], Lindell and Sundberg is optimized the Euclidean distance for combination of the channel coding and CPFSK modulation. In a code trellis minimum merge length is increased by prior encoding of the data symbols, generally, the longer the merge length, the larger the minimum normalized squared Euclidean distance and hence the better the error performance. This is the one of the reasons that coding is used in conjunction with CPM. Error performance analysis of an arbitrary trellis code is different from that of binary convolutional code due to the nonlinearity induced by the memoryless mapper. For a nonlinear code the Euclidean distance between any incorrect path and the correct path is dependent upon the correct path. Biglieri[14], has proposed a method based on generalized generating function which involves an error state diagram where the number of states is equal to the square of the number of trellis states. But this method is impractical for codes with more than 2 or 4 states. For example a code with 8 trellis states requires 64 states in its error state diagram to compute the generalized generating function. Zehavi and Wolf[15] showed that the modified generating function can be calculated from error state diagram with number of states equal to that of the encoder trellis if the code satisfy some symmetry properties. Most of the Ungerboeck' s type codes satisfy these properties. Bounds on the bit-error or error-event probabilities can be then derived. In this thesis, an extended version of minimum shift keying known as multi-amplitude minimum shift keying is considered and its inherent trellis structure with four states is explored. After that, optimum combination of convolutional codes and multi-amplitude minimum shift keying modulation is suggested. In the second chapter of the thesis, minimum shift keying modulation is explained in detail and inherent error control properties of this modulation scheme is examined. Than, trellis coded-modulation technique and free Euclidean distance calculation algorithm are presented. In the third chapter, the extended version of minimum shift keying which have multi-amplitudes signals known as multi-amplitude minimum shift keying modulation (MAMSK), is considered. A trellis code structure for multi- amplitude minimum shift keying is obtained with prescribed initial phases IXand amplitudes. The MAMSK is then presented in coded-modulation scheme. After that, error performance of uncoded MAMSK signal is investigated. in chapter four, in order to improve the error performance of multi- amplitude minimum shift keying, the optimum combinations of convolutional codes and multi-amplitude minimum shift keying modulation are explored. VVith R=1/2, K=1 coded MAMSK modulation, an asymptotic coding gain of 6.5 dB över uncoded MAMSK modulation is obtained. R=1/2, K=2 coded MAMSK modulation offers an asymptotic coding gain of 7 dB över uncoded modulation.

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