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

Water flow mangemen using embeded technogy, what is the method to do this p...

what is the method to do this project and what material used for?

Binary subtraction , Binary Subtraction Negative numbers are represent...

Binary Subtraction Negative numbers are represented in 2 complement form and subtraction is also  per formed  using  2 complement  method in microprocessor. Hence we will  dis

Subtract registers and borrow from accumulator, Subtract Registers and Borr...

Subtract Registers and Borrow from Accumulator The  contents of the  register  and borrow  flag  are subtracted from   the contents of the accumulator and the  result is  store

State lenz''s law, Lenz's law states: 'The direction of an induced e.m....

Lenz's law states: 'The direction of an induced e.m.f. is always like that it tends to set up a current opposing the motion or the change of flux responsible for inducing that

UJT Help, What''s the formula for the VB2'' in a UJT?

What''s the formula for the VB2'' in a UJT?

Measurement of frequency by wein''s bridge, Q.  Explain the measurement of...

Q.  Explain the measurement of frequency in detail by using Wein's bridge. Sol. The Wein's bridge is presented here not only for its use as an AC bridge to measure frequency

Calculate the rated load current of machine, A 500 MVA, 33kv, three phase s...

A 500 MVA, 33kv, three phase steam turbine generator has a synchronous reactance of 1.6 p.u. It delivers a rated output at 0.8 power factor lagging. Calculate (a) The synchronou

Calculate the rms voltage generated in each phase, Q. Consider an elementar...

Q. Consider an elementary three-phase, four-pole alternator with a wye-connected armature winding, consisting of full-pitch concentrated coils.  Each phase coil has three turns,

What do you understand by dram and its refreshing, What do you understand b...

What do you understand by DRAM and its refreshing? Dynamic RAM (DRAM) is fundamentally the same as SRAM, but this retains data for only 2 or 4 ms on an internal capacitor. But

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