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

Ic packaging, which type of ic package is more advantageous,suitable and ve...

which type of ic package is more advantageous,suitable and versatile

Digital electronics, Design a logic circuit when to provide an output when ...

Design a logic circuit when to provide an output when any two or three of four switches are closed.

Kirckoff, How to solve using kcl and kvl

How to solve using kcl and kvl

Provide definition of signals, Provide Definition of Signals A continuo...

Provide Definition of Signals A continuous-time signal x(t) is a signal that is a function of real number t. For a discrete-time signal x[n], it is a method of discrete time in

Illustrate the simplex transmission, Q. Illustrate the Simplex Transmission...

Q. Illustrate the Simplex Transmission? Simplex Transmission Data in a simplex channel is always one way. Simplex channels aren't often used as it is not possible to send ba

Dc generator, A 20kw 220v shunt generator has armature resistance of 0.07 a...

A 20kw 220v shunt generator has armature resistance of 0.07 and a shunt field resisitance 900 ohm find field loss?

Microprocessor system, A burglar alarm system is controlled by a microproce...

A burglar alarm system is controlled by a microprocessor system. The system has three independent circuit each consisting of 7 passive infra red sensors. The controller can be prog

Sketch the idealized bode plot, Q. Sketch the idealized (asymptotic) Bode p...

Q. Sketch the idealized (asymptotic) Bode plot for the transfer function Find the angular frequency at which H(ω) is 0dB and the angular frequency at which θ(ω) = -60°.

Essay, Transmission parameters are more effective than the hybrid parameter...

Transmission parameters are more effective than the hybrid parameters for simulation of the transmission line

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