lecture11 - EE455/591 Moreon Quantization More Re ading S...

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EE455/591 EE455/591 Moreon Quantization Moreon Quantization Reading: Section 6.5.2, 6.6.1 and 6.6.3 Reading: Section 6.5.2, 6.6.1 and 6.6.3 Review: UniformQuantizer Review: UniformQuantizer Topics: Topics: 1. Non-UniformQuantizer 1. Non-UniformQuantizer 2. Vector Quantization 2. Vector Quantization 3. Delta Modulation, etc. 3. Delta Modulation, etc.
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Review: Uniform Quantizer Quantization of X (non-uniform PDF) by v bits per sample Input range[-x max , x max ] divided into N=2 v levels Quantization steps of size Δ =x max /2 v-1 Encoder: each level is represented by v bits: 11 ... 11 : 10 ... 00 : 01 ... 00 : 00 ... 00 : 3 2 1 N x x x x x x x x
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Review: Computing SQNR Uniform distribution of error in interval: Resulting Signal to Quantization Noise Ratio: with If X is uniformly distributed in [-x max , x max ], then Adding 1 bit for quantization improves SQNR by 6dB otherwise x f x for x f X X 0 ) ~ ( ; 2 ~ 2 1 ) ~ ( ~ ~ = - = max x X X = vdB SQNR 02 . 6 = dB v X E SQNR 8 . 4 02 . 6 ] [ log 10 2 10 + + =
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1. Non-Uniform PCM
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