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

Find the characteristic impedance, (a) Now consider a typical open-wire tra...

(a) Now consider a typical open-wire transmission line with parameters of R = 14 /mi, L = 4.6 mH/mi, C = 0.01 µF/mi, and G = 0.3×10 -6 S/mi. If the line operates at 1 kHz, find t

Robotic, Ask questCompute the mean and variance of a four-level image with ...

Ask questCompute the mean and variance of a four-level image with histogram p(z\ ) = 0.1, p{zi) = 0.4, ?(1?) =0.3, p{za) = 0.2. Assume that z\ = 0, zi = 1, z$ = 2, and ? — ?. i

Semiconductors, Why do potential barriers breaks when a breakdown voltage i...

Why do potential barriers breaks when a breakdown voltage is application to semiconductor

The resistance of an electrical conductor, The resistance of an electrical ...

The resistance of an electrical conductor depends on 4 factors, these being:   a)  The length of the conductor   b)  The cross-sectional area of the conductor

What do you mean by sensors or transducers, Q. What do you mean by Sensors ...

Q. What do you mean by Sensors or Transducers? In almost all engineering applications there arises a need tomeasure some physical quantities, such as positions, displacements,

Explain corrosion, Explain Corrosion. Corrosion: The process of constan...

Explain Corrosion. Corrosion: The process of constant eating (or destruction) up of metals (by the surface) by the surrounding is termed as corrosion. These metals are corroded

Student, Can I get some ideas for power system stability simulation using M...

Can I get some ideas for power system stability simulation using Matlab?

Enhancement type mosfet, Enhancement type MOSFET In these types of de...

Enhancement type MOSFET In these types of devices operate by comprising a channel enhanced in the semiconductor material in which no channel was constructed, they are termed

Explain mesh analysis, Mesh analysis Analysis using KVL to solve for th...

Mesh analysis Analysis using KVL to solve for the currents around every closed loop of the network and hence verify the currents through and voltages across every elements of t

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