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

Applications of operational amplifiers, Q. Applications of operational ampl...

Q. Applications of operational amplifiers? An op amp along with a few external components (resistors and capacitors) is capable of performing many different operations-hence th

For which type of measurement thermocouples are used, Thermocouples are use...

Thermocouples are used for the measurement of (A)  Humidity.                                   (B) Pressure. (C) Temperature.                               (D) Density.

What is transconductance, Q. What is transconductance? Explain its signific...

Q. What is transconductance? Explain its significance from the transfer characteristics. Transconductance is the transistor gain of the JFET; it indicates the amount of control

Determine the effective input noise temperature, Q Determine the effective ...

Q Determine the effective input noise temperature of a long piece of waveguide (that connects an antenna to a receiver) with a loss of 3.4 dB at 12 GHz and a physical temperature o

Which interrupt has the highest priority, TRAP has the maximum priority ...

TRAP has the maximum priority There are 2 types of interrupts external and internal. NMI has highest priority between all external interrupts,TRAP has highest priority between

Advantages and disadvantages of rc coupled amplifier, Q. Advantages and Dis...

Q. Advantages and Disadvantages of rc coupled amplifier? Advantages 1. Aids excellent frequency response.The gain is constant over the audio frequency range 2. It has l

What is the importance of rs232-c in serial communication, What is the impo...

What is the importance of RS232-C in serial communication? RS-232 that is Recommend Standard number 232 and C is the new revision of the standard. The serial ports on main comp

Define pipelining, Define pipelining? In 8086, to speedup the implement...

Define pipelining? In 8086, to speedup the implementation of program, the instructions fetching and implementation of instructions are overlapped each other. This method is kno

Resistance, if the sheet resistance of a tin oxide is 100 ohms, what is the...

if the sheet resistance of a tin oxide is 100 ohms, what is the thickness of the oxide layer?

Scatter Diagrams - Quality Tools for Improvement, Scatter Diagrams - Qualit...

Scatter Diagrams - Quality Tools for Improvement Scatter diagrams are graphical tools which attempt to depict the influence in which one variable has on another. A general dia

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