ps8_fall06

ps8_fall06 - Department of Electrical and Computer...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Department of Electrical and Computer Engineering Digital Speech Processing Homework No. 8 Problem 1 – The uniform probability density function is defined as p ( x ) = 1 Δ | x | < Δ / 2 0 otherwise Find the mean and variance of the uniform distribution. Problem 2 – Consider the Laplacian probability density function p ( x ) = 1 2 σ x e - 2 | x | x Find the probability that | x | > 4 σ x . Problem 3 – A speech signal is bandlimited by an ideal lowpass filter, sampled at the Nyquist rate, quantized by a uniform B -bit quantizer, and converted back to an analog signal by an ideal D/A converter, as shown in the figure above. Define y [ n ] = x [ n ] + e 1 [ n ] where e 1 [ n ] is the quantization error. Assume that the quantization step is Δ = 8 σ x / 2 B and that B is large enough so that we can assume: 1. e 1 [ n ] is stationary 2. e 1 [ n ] is uncorrelated with x [ n ] 3. e 1 [ n ] is a uniformly distributed white noise sequence We have seen that, under these conditions, the signal-to-quantizing noise ratio is: 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/29/2011 for the course ECE 259 taught by Professor Rabiner,l during the Fall '08 term at UCSB.

Page1 / 3

ps8_fall06 - Department of Electrical and Computer...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online