Unformatted text preview: x lies in the i th bin. 2. Quantization Example: (a) A random waveform x ( t ) has amplitude uniformly distributed over [-1 , 1] . Please provide an optimal 4 bit quantizer for this signal. Show your choice satisFes the Lloyd-Max optimality conditions. (b) Let ˆ x (0) be a quantized sample of the signal level x ( t ) . What is E [ˆ x (0)-x ( t )] ? What is E [(ˆ x (0)-x ( t )) 2 ] ? What is the probability distribution on the random variable e (0) = ˆ x (0)-x ( t ) ? You must justify your results. 1...
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- Spring '08
- Input signal amplitude, College of Engineering Department of Electrical and Computer Engineering, mean-square quantization error, sufficiently small bin