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

Explain the purpose of the i/o instructions in and out, Explain the purpose...

Explain the purpose of the I/O instructions IN and OUT. The IN instruction is used to move data from an I/O port into the accumulator. The OUT instruction is used to move d

Transmission and distribution, A three-phase transposed line is composed of...

A three-phase transposed line is composed of one conductor per phase with flat horizontal spacing of 11 m as shown in Figure 1(a). The conductors have a diameter of 3.625 cm and a

Automotive industry, The worldwide automotive industry is currently witness...

The worldwide automotive industry is currently witnessing rapid innovative developments day by day. The developments encompass every aspect of the automobile such as materials, man

What is UNIVERSAL SERIAL BUS, What is USB? USB: The USB (UNIVERSAL SERI...

What is USB? USB: The USB (UNIVERSAL SERIAL BUS) is intended to join peripheral devices as keyboards, modems, a mouse and sound cards to the microprocessor by a serial data pat

Briefly explain the principle and operation of strain gauges, Question: ...

Question: (a) With the help of a clearly labeled diagram explain the functioning of a basic thermocouple. (b) Briefly explain the principle and operation of strain gauges

Addition of two sinusoids, Connect the 2 kHz (sin ωt) signal to input A of ...

Connect the 2 kHz (sin ωt) signal to input A of the "Adder" module Connect input B to ground (GND). Connect the outputof the"Adder"(GA+gB) to input A-CH1 of "Scope Selector".

Matlab help, hello i have MATLAB 2013 how can i send and receive files usi...

hello i have MATLAB 2013 how can i send and receive files using Bluetooth

What is extended memory system, What is XMS? XMS: The memory system is ...

What is XMS? XMS: The memory system is splits in three major parts as: system area, XMS (extended memory system) and TPA (transient program area). The kind of microprocessor in

Lead acid battery, Describe the construction of lead acid battery

Describe the construction of lead acid battery

For zero flag , For zero flag  CZ ( Call  on Zero )  CNZ ( Call on no...

For zero flag  CZ ( Call  on Zero )  CNZ ( Call on no zero ) Instructions CZ call the  subroutine  from the  specified  memory location if zero flag is set  (Z=1). The i

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