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

Discuss need of caches, Discuss need of Caches. Caches are other big t...

Discuss need of Caches. Caches are other big thing done in the last 2 decades to enhance performance. Keep things locally when they are going to be used soon. By a physics vie

Show power and power factor in ac circuits, Q. Show Power and Power Factor ...

Q. Show Power and Power Factor in ac Circuits? Power is the rate of change of energy with respect to time. The unit of power is a watt (W), which is a joule per second (J/s). T

What is asynchronous data transfer, What is asynchronous data transfer? ...

What is asynchronous data transfer? It is a data transfer method which is used when the speed of an I/O device does not match with the speed of the microprocessor. Asynchronous

Derive the expression for steady state error, Derive the mathematical expre...

Derive the mathematical expression for steady state error of first order system with unit ramp signal. Discuss the following - proportional cum integral control - proporti

Determine the current and voltage for n-channel jfet, Q. An n-channel JFET ...

Q. An n-channel JFET with A = 300 V, P = 2 V, and I DSS = 10 mA is to be operated in the active mode. Determine i D when v DS = 10 V and v GS =-0.5V.

Determine the dielectric constant of air in practically, The dielectric con...

The dielectric constant of air is practically taken as (A) more than unity.                         (B) Unity.  (C) less than unity.                           (D) Zero.

Develop the equation of motion, Aloudspeaker is a common electrochemical tr...

Aloudspeaker is a common electrochemical transducer in which vibration is caused by changes in the input current to a coil which, in turn, is coupled to a magnetic structure that c

Image frequency for an fm station, Q. Show that the image frequency for an ...

Q. Show that the image frequency for an FM station does not fall in the range of 88.1-107.9 MHz, regardless of the choice of high- or low-side local oscillator.

Define amplification factor, Q. Define amplification factor? Amplifica...

Q. Define amplification factor? Amplification factor  μ It is the ratio of the drain -source voltage (ΔVDS) to the change in the gate to source voltage (ΔV GS ) at constan

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