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

Resistance of 1200 m of copper cable, Verify the resistance of 1200 m of co...

Verify the resistance of 1200 m of copper cable having a diameter of 12 mm if the resistivity of copper is 1.7 x 10-8 Ωm

Input bias current of operational amplifier, Q. Input bias current of opera...

Q. Input bias current of operational amplifier? When operated at extremely low quiescent current values, the base bias currents will be low; but they do have to be taken into c

Dc motors, costruction and working of dc motor

costruction and working of dc motor

Ac, power factor improvement

power factor improvement

Status signals - pins and signals , Status Signals There are three st...

Status Signals There are three status  signals IO/M s and s 1 . All  these  signals  are output  signals. IO/ M - it is a status  signals  used to distinguish  whether  the

Circuit symbols for mosfet, Circuit Symbols for MOSFET A range of symb...

Circuit Symbols for MOSFET A range of symbols are employed for the MOSFET. The basic design is usually a line for the channel along with the source and drain leaving it at rig

Dsp., fir and iir filter design

fir and iir filter design

Draw frequency response curve, Q. Sketch An Rc Coupled Two Stage Amplifier....

Q. Sketch An Rc Coupled Two Stage Amplifier. Draw Its Frequency Response Curve And Account For Its Stages. The figure above shows a two stage RC coupled amplifier. The sig

Introduction to electronics, Explain the difference between a microprocesso...

Explain the difference between a microprocessor and an embedded microcontroller

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