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

Solid mensuration, reflections, journey about the subject solid mensuration...

reflections, journey about the subject solid mensuration

Supercomputer -introduction to microprocessors , Supercomputer The lar...

Supercomputer The largest  fastest and most  powerful  are called supercomputers. Supercomputers are mainly used for  weather forecasting remote  sensing image processing, biom

Preventive and regular maintenance, Preventive and Regular Maintenance ...

Preventive and Regular Maintenance Preventive and regular manages of components of the distributions system is necessary to reduce/eliminate breakdowns. Care should be taken t

Define and explain numerical aperture, Define and explain Numerical apertur...

Define and explain Numerical aperture? Figure shown below shows an incident ray to the fibre, The light bends at two interfaces, one at the air- core interface and the

Sketch the inductor voltage and stored energy, (a) Consider a 5-µH inductor...

(a) Consider a 5-µH inductor to which a current source i(t) is attached, as shown in Figure (b). Sketch the inductor voltage and stored energy as a function of time. (b) Let a v

Analog Fundamentals, Module 1 Discussion: Application of operational Amplif...

Module 1 Discussion: Application of operational Amplifier

What effect do non-tradable goods have on ppp, Q. What effect do non-tradab...

Q. What effect do non-tradable goods have on PPP? Answer: The consequence is quite substantial. In 1997 the production of non-tradable goods accounted for about 55% of U.S GN

List few applications of microprocessor-based system, List few applications...

List few applications of microprocessor-based system. It is used: i. For measurements, display and control of current, voltage, temperature, pressure, etc. ii. For traff

Find the minimum load resistor, Q. Consider the non inverting amplifier. Le...

Q. Consider the non inverting amplifier. Let R i = 1k and R f = 2k. Let the op amp be ideal, except that its output cannot exceed ±12 V at a current of ±10 mA. (a) Find the

What are wired and wireless transmission systems, What are wired and wirele...

What are wired and wireless transmission systems?  Transmission Systems: Modern long distance transmission systems can be placed under three main categories: 1.  Radio Sy

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