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

Working of harmonic distortion analyzer, Q. Explain with the help of a bloc...

Q. Explain with the help of a block diagram the working of harmonic distortion analyzer. OR Write short note on Harmonic distortion analyzer. Sol. Several methods h

Show the procedure of hex to decimal conversion, Q. Show the procedure of H...

Q. Show the procedure of Hex to Decimal Conversion? To convert from the Hex to the Decimal, multiply the value in each position by its hex weight and add each value. Using the

Aggregate technical and commercial loss, Aggregate Technical and Commercial...

Aggregate Technical and Commercial Loss It is unfortunate in that addition to T&D losses, there is also a loss in revenue because of non-realisation of billed demand which lea

Electrons, Ask question #Minimum 100 words accepted how does the charge pla...

Ask question #Minimum 100 words accepted how does the charge plate relate to the movement of electrons

What is the use of modem control unit in 8251, What is the use of modem con...

What is the use of modem control unit in 8251? The modem control unit handles the modem handshake signals to coordinate the communication among the modem and the USART.

Spread time - power semiconductor devices , Spread Time (t s ) During  ...

Spread Time (t s ) During  spread time anode  voltage  falls from 10% I a  to the  on state  voltage  drop  and anode  current  rises  from 90% I a   to final  value  of anode

What is extended data output ram, What is extended data output RAM? EDO...

What is extended data output RAM? EDO RAM: A slight modification to the DRAM structure changes the device in an EDO (extended data output) DRAM device. Inside the EDO memory, a

Distributed Control Sytems, 1. Produce a fully-labelled sketch to show the ...

1. Produce a fully-labelled sketch to show the components of a Direct Digital Control system. 2. State the minimum number of printed-circuit cards required to construct a basic co

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