Analysis and applications of some practical source coding systems
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| 出版年: | ProQuest Dissertations and Theses (1994) |
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ProQuest Dissertations & Theses
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| オンライン･アクセス: | Citation/Abstract Full Text - PDF |
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| 100 | 1 | |a Bist, Anurag | |
| 245 | 1 | |a Analysis and applications of some practical source coding systems | |
| 260 | |b ProQuest Dissertations & Theses |c 1994 | ||
| 513 | |a Dissertation/Thesis | ||
| 520 | 3 | |a This dissertation analyzes several practical data compression systems using an asymptotic approximation for quantizers with small step sizes. By using this high resolution quantization theory we present a simple formulation to analyze many source coding systems in the same framework and give practical applications of such systems. The first part of the research focuses on the analysis of a digital transmission system when the input to the system is a continuous time Gauss-Markov process of any order. By using fine quantization approximations we derive expressions for the time-average smoothed error for different quantization systems. We formulate our problem in a state space framework. The quantization systems that we study are: (i) vector quantization of the original process, (ii) state component and state vector quantization, (iii) differential state quantization, (iv) a scheme of quantizing the complex envelope of a narrowband process, and (v) a sigma-delta modulator. It is shown that for most processes differential quantization of the state, an augmented process consisting of process and its derivatives, outperforms a simple state quantization and the vector quantization of the original process. In particular, for a second order lowpass process it is shown that when the overall rate R is high, the optimal smoothed error is proportional to ${{1}\over {R\sp3}}$ for the differential scheme. This is better than the performance of DPCM and a modified vector DPCM, analyzed under the same framework. For both these schemes the asymptotic variation of the smoothed error is proportional to ${{1}\over {R\sp2}}$. For differential state quantization, the resulting optimal size of the vector quantizers are small and can be used in practice. We analyze the case when the narrowband process is input to a sigma-delta modulator and derive simple asymptotic expressions for the quantization noise spectra. Next we study a universal source coding scheme with a vector quantizer codebook transmission. Again by using high resolution quantization theory we derive the optimal tradeoff between the quantizer resolution and the information used to transmit codebooks. | |
| 653 | |a Electrical engineering | ||
| 773 | 0 | |t ProQuest Dissertations and Theses |g (1994) | |
| 786 | 0 | |d ProQuest |t ProQuest Dissertations & Theses Global | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/304127080/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/304127080/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |