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

Why we need digital systems, Q. Why we need digital systems? EASIER TO ...

Q. Why we need digital systems? EASIER TO PROCESS: For the reason that digitized information breaks all information into discrete units the information is easier to process and

What is the significance of source gate cutoff voltage, Q. What is the sign...

Q. What is the significance of source gate cutoff voltage? The source gate cutoff voltage is also called pinch off voltage. It is obtained when VDS increases and approaches a l

Various steps in designing the counter, Design a mod-15 counter. Explain th...

Design a mod-15 counter. Explain the various steps in designing the counter

Show television waveform, Q. Show television waveform? The television w...

Q. Show television waveform? The television waveform representing one scan is illustrated in Figure. A blanking pulse with a duration of 0.18 of the horizontal - sweep period T

High pressure gas hazards, High Pressure Gas Hazards When we consider t...

High Pressure Gas Hazards When we consider the dangers of compressed gas in the lab, there are three main sources of danger as follows: 1) Sudden release of high pressure ga

What do you mean by signal multipath, Q. What do you mean by Signal multipa...

Q. What do you mean by Signal multipath? Signal multipath occurs with electromagnetic wave propagation via sky wave in the HF range. When the transmitted signal reaches the rec

Explain the working of a hartley oscillator, Q. With a neat circuit diagram...

Q. With a neat circuit diagram explain the working of a Hartley oscillator using an npn transistor and obtain the expression for oscillation frequency and for minimum gain for sust

Explain procedure to test the power line, Explain procedure to take shut do...

Explain procedure to take shut down and to test the power line before starting work? Ans: Study the circuit and find out the circuit breaker to be opened. Open and lock the c

Evaluate phase difference between voltage and current, Evaluate Phase diffe...

Evaluate Phase difference between voltage and current: An inductive coil of reactance 15.7 Ω and resistance 32 Ω is connected in series with a capacitor of reactance 79.5 Ω. 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