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

Electronics circuits 1, Explain and drive the expression for fixed bias and...

Explain and drive the expression for fixed bias and potential divider.

Compare the percent error of both meters, Q. Error speci?cations on a 10-A ...

Q. Error speci?cations on a 10-A digital ammeter are given as 0.07% of the reading, 0.05% of full scale, 0.005% of the reading per degree Celsius, and 0.002% of full scale per degr

Define the x-nor or exclusive-nor gate, Define the X-NOR or Exclusive-NOR G...

Define the X-NOR or Exclusive-NOR Gate?   This is the EX-OR gate with the output inverted, as shown by the 'o' on the output and the output Q is true if inputs A and B a

Illustrate about full duplex transmission, Q. Illustrate about Full Duplex ...

Q. Illustrate about Full Duplex Transmission? Full Duplex Transmission Data can travel in both directions simultaneously. There is no need to switch from transmit to receive

Write a control word for counter 1 of 8253 / 8254, Write a control word for...

Write a control word for counter 1 of 8253 / 8254 that selects the following options:  load least significant byte only, mode 5 of operation and binary counting.  Then write an ins

Calculate the current flow using norton theorem, Calculate the current flo...

Calculate the current flow in 30Ω resistor for the circuit in figure using Norton Theorem.

Which stack is used in 8085, LIFO (Last In First Out) stack is used in 8085...

LIFO (Last In First Out) stack is used in 8085.In this type of Stack the last kept information can be retrieved first.

Operation of mosfet, Operation of MOSFET The operation of a metal-oxi...

Operation of MOSFET The operation of a metal-oxide-semiconductor field-effect transistor which is abbreviated as MOSFET can be separated into three modes, depending upon the

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