Show quantization error, Electrical Engineering

Assignment Help:

Quantization Error

Sampling followed by quantization is equivalent to quantization followed by sampling. Figure illustrates a message signal f (t) and its quantized version denoted by fq(t). The difference between fq(t) and f (t) is known as the quantization error εq(t),

εq (t) = fq (t) - f(t)

Theoretically, fq(t) can be recovered in the receiver without error. The recovery of fq(t) can be viewed as the recovery of f (t) with an error (or noise) εq(t) present. For a small δv with a large number of levels, it can be shown that the mean-squared value of εq(t) is given by

1894_Show Quantization Error.png


When a digital communication system transmits an analog signal processed by a uniform quantizer, the best SNR that can be attained is given by

2359_Show Quantization Error1.png

where S0 and Nq represent the average powers in f (t) and εq(t), respectively. When f (t) fluctuates symmetrically between equal magnitude extremes, i.e., -|f(t)|max ≤ f(t) ≤ |f(t)|max, choosing a sufficiently large number of levels L, the step size δv comes out as

843_Show Quantization Error2.png

It can be seen that messages with large crest factors will lead to poor performance.

1811_Show Quantization Error3.png


Related Discussions:- Show quantization error

Transistor hybrid model, Transistor Hybrid model:- Make Use of h - par...

Transistor Hybrid model:- Make Use of h - parameters to explain a transistor have the following benefits. a)      h - Parameters are real numbers that are up to radio frequ

What do you mean by interference, Q. What do you mean by interference? ...

Q. What do you mean by interference? An information-bearing signal often becomes contaminated by externally generated interference and noise and/or by internally generated nois

Fraction of the total cross section - interaction processes, Determine and ...

Determine and plot for 5 keV to 100 MeV the fraction of the total cross section due to each of the four interaction processes for      (a) hydrogen,      (b) nitrogen,

Transistor, what is bias compensation

what is bias compensation

Single Phase Induction Motor, How do I connect a Capacitor on the machine i...

How do I connect a Capacitor on the machine if it has a start mechanism

Assigment, what is p-n junction and how its work

what is p-n junction and how its work

Ac supply, its defination and mathematical expression if any

its defination and mathematical expression if any

What is the purpose of carry flag and zero flag, What is the purpose of car...

What is the purpose of carry (c) flag and zero (z) flag? Carry flag conatins the carry after addition or borrow after subtraction. This carry flag also shows error conditions,

Electronics, #What are the types of Negative Feedback Amplifier?

#What are the types of Negative Feedback Amplifier?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd