nce of noise has p(y) =0 25 8 (y-5 mV)+ 0 58(y)+ 0.25 8 (y+5 mV). If AWGN is also present with standard deviation of 1 mV. (a) Find the optimum threshold setting for decoding (b) Find resulting probability of error. (Ans: (a) Vh 2.63863V, V- 2.63863 V, (b) P, 8.73*10 '). th1 Q2: If the PDF of the noise affecting the bipolar #1.5 volts transmission has the form In< 2 f(n) = { R(4 -n²) elsewhere Where k is a constant to be found. Find the optimum decision level if p(0,-2/3). (Ans: 0.2 volt).

nce of noise has p(y) =0 25 8 (y-5 mV)+ 0 58(y)+ 0.25 8 (y+5 mV). If AWGN is also present with standard deviation of 1 mV. (a) Find the optimum threshold setting for decoding (b) Find resulting probability of error. (Ans: (a) Vh 2.63863V, V- 2.63863 V, (b) P, 8.73*10 '). th1 Q2: If the PDF of the noise affecting the bipolar #1.5 volts transmission has the form In< 2 f(n) = { R(4 -n²) elsewhere Where k is a constant to be found. Find the optimum decision level if p(0,-2/3). (Ans: 0.2 volt).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Quantization and Resolution

Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.

Probability of Error

This topic is widely taught in many undergraduate and postgraduate degree courses of:

Question

Problems
Q1: The received waveform in a ternary PCM system in the absence of noise has the following pdf
P(y) =0 25 8 (y-5 mV) +0 5 8(y) + 0 258 (y+5 mV). If AWGN is also present with
standard deviation of 1 mV.
%3D
(a) Find the optimum threshold setting for decoding
(b) Find resulting probability of error.
(Ans: (a) Vth 2.63863V, Vth2
,=-2.63863 V, (b) P, 8.73*10 ).
Q2: If the PDF of the noise affeeting the bipolar +1.5 volts transmission has the form
k (4-n2)
In< 2
elsewhere
f(n) =
Where k is a constant to be found. Find the optimum decision level if p(0, 2/3).
(Ans: 0.2 volt).

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